DOTERA Tomonari

Researcher Information

Degree

• Ph.D.（University of Tokyo）

URL

http://softmatter.phys.kindai.ac.jp

J-Global ID

• 201401058608707596

Research Interests

• quasiperiodic tiling   minimal surface   bronze-mean quasicrystal   quasicrystal   condensed matter physics theory   self-assembly   polymer structure and physical property   photonic crystal   block copolymer   soft matter   colloid   phason   polymer   tiling   computer simulation   simulation   microphase separation   gyroid   Archimedean tiling   

Research Areas

• Natural sciences / Magnetism, superconductivity, and strongly correlated systems / Quasicrystal
• Natural sciences / Bio-, chemical, and soft-matter physics

Academic & Professional Experience

• 2009/04 - Today  Kindai UniversityDepartment of PhysicsProfessor
• 2003/07 - 2009/03  Kyoto UniversityDepartment Polymer ChemistryAssociate Professor
• 1994/04 - 2003/06  Japanese Open UniversitySaitama Study CenterAssociate Professor
• 1989/04 - 1994/03  University of TokyoDepartment of Pure and Applied SciencesResearch Associate
• 1990/09 - 1992/02  University of PennsylvaniaDepartment of PhysicsPostdoc

Education

• 1979/04 - 1989/03  University of Tokyo  理学系研究科  Department of Pure and Applied Sciences

Association Memberships

• Materials Research Society   American Chemical Society   American Physical Society   THE SOCIETY OF POLYMER SCIENCE, JAPAN   THE PHYSICAL SOCIETY OF JAPAN   

Published Papers

• Programmable Self-Assembly of Nanoplates into Bicontinuous Nanostructures

  Hideaki Tanaka; Tomonari Dotera; Stephen T. Hyde

  ACS NANO 17 (16) 15371 - 15378 2023/08 [Refereed]
  
• Rectangle-triangle soft-matter quasicrystals with hexagonal symmetry

  Andrew J. Archer; Tomonari Dotera; Alastair M. Rucklidge

  Physical Review E 106 044602-1 - 044602-13 2022/10 [Refereed]
   

  Aperiodic (quasicrystalline) tilings, such as Penrose’s tiling, can be built up from e.g. kites and darts, squares and equilateral triangles, rhombi or shield shaped tiles and can have a variety of different symmetries. However, almost all quasicrystals occurring in soft-matter are of the dodecagonal type. Here, we investigate a class of aperiodic tilings with hexagonal symmetry that are based on rectangles and two types of equilateral triangles. We show how to design soft-matter systems of particles interacting via pair potentials containing two length-scales that form aperiodic stable states with two different examples of rectangle–triangle tilings. One of these is the bronze-mean tiling, while the other is a generalization. Our work points to how more general (beyond dodecagonal) quasicrystals can be designed in soft-matter. Editors' Suggestion: Editor's summary This paper describes an investigation of soft-matter quasicrystals with hexagonal symmetry. Examining two different examples of rectangle-triangle tilings, the authors demonstrate how to design stable aperiodic soft-matter systems containing two length scales. Their work suggests ways to find a wider variety of quasicrystals in soft matter systems.
• Metallic-mean quasicrystals as aperiodicapproximants of periodic crystals

  J. Nakakura; P. Ziherl; J. Matsuzawa; T. Dotera

  Nature Communications 10 4235  2019/09 [Refereed]
   

  Ever since the discovery of quasicrystals, periodic approximants of these aperiodic structures constitute a very useful experimental and theoretical device. Characterized by packing motifs typical for quasicrystals arranged in large unit cells, these approximants bridge the gap between periodic and aperiodic positional order. Here we propose a class of sequences of 2D quasicrystals that consist of increasingly larger periodic domains and are marked by an ever more pronounced periodicity, thereby representing aperiodic approximants of a periodic crystal. Consisting of small and large triangles and rectangles, these tilings are based on the metallic means of multiples of 3, have a 6-fold rotational symmetry, and can be viewed as a projection of a non-cubic 4D superspace lattice. Together with the non-metallic-mean three-tile hexagonal tilings, they provide a comprehensive theoretical framework for the complex structures seen, e.g., in some binary nanoparticles, oxide films, and intermetallic alloys.
• Ring shape-dependent self-sorting of pillar[n]arenes assembled on a surface

  T. Ogoshi; S. Takashima; N. Inada; H. Asakawa; T. Fukuma; Y. Shoji; T. Kajitani; T. Fukushima; T. Tada; T. Dotera; T. Kakuta; T. Yamagishi

  Communications Chemistry NATURE PUBLISHING GROUP 1 92  2399-3669 2018/12 [Refereed]
   

  Self-sorting, in which multiple components selectively assemble themselves by recognising self from others, is an attractive approach to produce supramolecular assemblies with controlled structures. Lock-and-key type complementary physical interactions are required for self-sorting because selective affinity is necessary to distinguish self from others. Here we show self-sorting behaviour based on a principle of geometrical complementarity by shape during our investigation of assembly of pentagonal pillar[5]arenes and hexagonal pillar[6]arenes on a surface. In the homoassembly systems, anionic pillar[5]arenes and pillar[6]arenes are adsorbed onto positively charged layers of cationic pillar[5]arenes and pillar[6]arenes, respectively, through cationic-anionic electrostatic interactions. In contrast, ionic pillar[5]arenes are adsorbed onto layers constructed from oppositely charged pillar[5]arenes, but ionic pillar[6]arenes are not. Equally, for the reverse combination, ionic pillar[6]arenes are adsorbed onto layers constructed from oppositely charged pillar[6]arenes, but ionic pillar[5]arenes are not. The geometrical complementarity by shape realises effective self-sorting even in non-directional multivalent ionic interactions.
• Bronze-mean hexagonal quasicrystal

  Tomonari Dotera; Shinichi Bekku; Primoz Ziherl

  NATURE MATERIALS NATURE PUBLISHING GROUP 16 (10) 987 - + 1476-1122 2017/10 [Refereed]
   

  The most striking feature of conventional quasicrystals is their non-traditional symmetry characterized by icosahedral, dodecagonal, decagonal or octagonal axes(1-6). The symmetry and the aperiodicity of these materials stem from an irrational ratio of two or more length scales controlling their structure, the best-known examples being the Penrose(7,8) and the Ammann-Beenker(9,10) tiling as two-dimensional models related to the golden and the silver mean, respectively. Surprisingly, no other metallic-mean tilings have been discovered so far. Here we propose a self-similar bronze-mean hexagonal pattern, which may be viewed as a projection of a higher-dimensional periodic lattice with a Koch-like snowflake projection window. We use numerical simulations todemonstrate that a disordered variant(11) of this quasicrystal can be materialized in soft polymeric colloidal particles with a core-shell architecture(12-17). Moreover, by varying the geometry of the pattern we generate a continuous sequence of structures, which provide an alternative interpretation of quasicrystalline approximants observed in several metal-silicon alloys(18). Editor's summary A two-dimensional quasicrystalline tiling based on the bronze-mean hexagonal pattern is proposed.
• Hexagulation numbers: the magic numbers of equal spheres on triply periodic minimal surfaces

  Tomonari Dotera; Hideaki Tanaka; Yusuke Takahashi

  STRUCTURAL CHEMISTRY SPRINGER/PLENUM PUBLISHERS 28 (1) 105 - 112 1040-0400 2017/02 [Refereed][Invited]
   

  Regular structures of equal spheres on the triply periodic minimal surfaces known as primitive (P), gyroid (G) and diamond (D) surfaces are enumerated as obtained through Monte Carlo simulations of hard spheres undergoing the Alder transition. Remarkably, there exist magic numbers producing the regular structures, which are simply explained by means of hexagulation numbers defined as H = h(2) + k(2) - hk, in analogy with the Caspar and Klug's triangulation numbers, T = h(2) + k(2) + hk for icosahedral viruses, where h and k are equal to nonnegative integers. Understanding the significance of symmetry of the surfaces, the total number of spheres per cubic unit cell N is represented by N = 8H, 16H, and 32H for P-, G- and D-surfaces, respectively. Accordingly, these arrangements are analyzed in terms of space groups, equivalent positions (Wyckoff positions), and polygonal-tiling representations. The key is that there is only a limited number of efficient physical design possible even on the triply periodic minimal surfaces.
  ダウンロード
• Origin of 18-fold quasicrystal

  S. Bekku; P. Ziherl; T. Dotera

  13TH INTERNATIONAL CONFERENCE ON QUASICRYSTALS (ICQ13) IOP PUBLISHING LTD 809 1742-6588 2017 [Refereed]
   

  We investigate the origin of the 18-fold symmetry in quasicrystals. We perform Monte Carlo simulations of 2D disks interacting with the hard-core/square-shoulder potential, and we analyze the bond-orientational order and the local vertex configurations. We find that the so-called special clusters of particles play a crucial role in the mixing of the three sets of bond directions 20 degrees apart, producing the 18-fold diffraction pattern.
• A geometric view of structure formation in soft colloids

  P. Ziherl; T. Dotera

  SOFT MATTER SELF-ASSEMBLY IOS PRESS 193 307 - 329 0074-784X 2016 [Refereed][Invited]
   

  The ordered phases formed by polymeric nanocolloidal particles with a core-shell architecture are typically very different from those seen in classical hard colloids. The differences must invariably be related to softness of particles. Here we discuss the T = 0 phase diagram of a 2D model of core-softened particles represented by the hard-core/square-shoulder pair potential. The aim of the analysis is to show that a simple generalization of the hard-core potential is sufficient to induce several rather complex crystalline and quasicrystalline phases, and to illustrate how these structures can be systematically constructed and compared using a geometric scheme based on canonical local packings of the particles.
• 16pCU-7 Novel tiling structures in core-shell particle systems

  Bekku Shinichi; Dotera Tomonari

  Meeting Abstracts of the Physical Society of Japan The Physical Society of Japan (JPS) 70 2912 - 2912 2189-079X 2015
• 17pPSB-31 Hard spheres on the Diamond surface

  Tanaka Hideaki; Dotera Tomonari

  Meeting Abstracts of the Physical Society of Japan The Physical Society of Japan (JPS) 70 2955 - 2955 2189-079X 2015
• 17pPSB-30 プリミティブ曲面上の剛体球の配置

  高橋 佑輔; 堂寺 知成

  日本物理学会講演概要集 一般社団法人日本物理学会 70 2954 - 2954 2189-079X 2015
• Mosaic two-lengthscale quasicrystals

  T. Dotera; T. Oshiro; P. Ziherl

  NATURE NATURE PUBLISHING GROUP 506 (7487) 208 - 211 0028-0836 2014/02 [Refereed]
   

  Over the past decade, quasicrystalline order(1) has been observed in many soft-matter systems: in dendritic micelles(2), in star(3) and tetrablock(4) terpolymer melts and in diblock copolymer(5) and surfactant micelles(6). The formation of quasicrystals(7-9) from such a broad range of 'soft' macromolecular micelles suggests that they assemble by a generic mechanism rather than being dependent on the specific chemistry of each system. Indeed, micellar softness has been postulated(7) and shown to lead to quasicrystalline order(10). Here we theoretically explore this link by studying two-dimensional hard disks decorated with step-like square-shoulder repulsion that mimics, for example, the soft alkyl shell around the aromatic core in dendritic micelles(2). We find a family of quasicrystals with 10-, 12-, 18- and 24-fold bond orientational order which originate from mosaics of equilateral and isosceles triangles formed by particles arranged core-to-core and shoulder-to-shoulder. The pair interaction responsible for these phases highlights the role of local packing geometry in generating quasicrystallinity in soft matter, complementing the principles that lead to quasicrystal formation in hard tetrahedra(11,12). Based on simple interparticle potentials, quasicrystalline mosaics may well find use in diverse applications ranging from improved image reproduction(13) to advanced photonic materials(14).
• Softmatter Quasicrystals

  堂寺 知成

  固体物理 アグネ技術センター 48 (7) 331 - 340 0454-4544 2013/07 [Refereed][Invited]
   

  「Soft quasicrystal」という言葉がはじめて登場したのは，2005年アイオワ州エイムズで開催された第９回準結晶国際会議の高分子化学者V.~Percecのバンケット講演のことである．この「ソフト準結晶」＝「ソフトマターの準結晶」とは何だろうか．まず最初にソフト準結晶が発見されるまでの背景から説明してゆくことにしよう．
• 3重周期極小曲面上の剛体球

  堂寺 知成; 松澤淳一

  日本表面科学会誌 34 (1) 21 - 26 2013/01 [Refereed][Invited]
   

  We review our recent numerical simulation result that 48/64 hard spheres per unit cell on the gyroid surface are self-organized by the Alder-transition mechanism. Striking evidence of entropy-driven ordering is obtained in terms of the acceptance ratio of Monte Carlo moves and order parameters. The regular tessellations of the spheres on the triply periodic minimal surface can be viewed as hyperbolic tilings on the Poincare disc.
• Hard spheres on the gyroid surface

  Tomonari Dotera; Masakiyo Kimoto; Junichi Matsuzawa

  INTERFACE FOCUS ROYAL SOC 2 (5) 575 - 581 2042-8898 2012/10 [Refereed]
   

  We find that 48/64 hard spheres per unit cell on the gyroid minimal surface are entropically self-organized. Striking evidence is obtained in terms of the acceptance ratio of Monte Carlo moves and order parameters. The regular tessellations of the spheres can be viewed as hyperbolic tilings on the Poincare disc with a negative Gaussian curvature, one of which is, equivalently, the arrangement of angels and devils in Escher's Circle Limit IV.
• Toward the discovery of new soft quasicrystals: From a numerical study viewpoint

  Tomonari Dotera

  JOURNAL OF POLYMER SCIENCE PART B-POLYMER PHYSICS WILEY-BLACKWELL 50 (3) 155 - 167 0887-6266 2012/02 [Refereed][Invited]
   

  This is a progress review of an emerging research front: soft quasicrystals including liquid crystalline dendrons, nanoparticles, mesoporous silica, colloids, ABC star and linear terpolymers, and even water and silicon. As an aid to readers, we explain the basics of quasicrystals developed in solid-state physics: orders in quasicrystals, higher dimensional crystallography, approximants, phason randomness, and the origin of quasicrystal formation. Then we review some numerical studies from early to recent ones. Our main purpose is to elucidate how to construct quasicrystalline structures: The introduction of additional components or a new length-scale is the key to discover new quasicrystals. As a case study, we describe our recent studies on ABC star terpolymer systems and present the results of simulations of dodecagonal polymeric quasicrystals. In the case of dodecagonal quasicrystals, one easily finds that the key is to search square-triangle tiling structures with changing components. Application to photonic quasicrystals is reviewed as well. Our hope is that this review will contribute furthering quasicrystal chemistry. (C) 2011 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys, 50: 155-167, 2012
• Quasicrystals in Soft Matter

  Tomonari Dotera

  ISRAEL JOURNAL OF CHEMISTRY WILEY-BLACKWELL 51 (11-12) 1197 - 1205 0021-2148 2011/12 [Refereed][Invited]
   

  Two decades after the first publication on quasicrystals in aluminum manganese alloys by Shechtman et al., a soft quasicrystal was found in nature. Since then a number of materials successively joined the family of soft quasicrystals, including liquid crystals, polymers, nanoparticles, colloids, mesoporous silica, and even water and silicon. In this article, important experimental advances are reviewed to introduce readers to the emerging research front of soft quasicrystalline materials. The world of quasicrystals opened by Daniel Shechtman extends its reach into the twenty-first century chemistry.
• Kaleidoscopic morphologies from ABC star-shaped terpolymers

  Yushu Matsushita; Kenichi Hayashida; Tomonari Dotera; Atsushi Takano

  JOURNAL OF PHYSICS-CONDENSED MATTER IOP PUBLISHING LTD 23 (28) 0953-8984 2011/07 

  Star-shaped terpolymers of the ABC type composed of incompatible polymer components give a variety of ordered structures with mesoscopic length scales depending on their composition ratio. Their peculiar features are summarized in this report. Polymer components adopted are polyisoprene (I), polystyrene (S) and poly(2-vinylpyridine) (P), and many monodisperse samples of the IXSY P-Z type were anionically prepared. Firstly our focus is on molecules of the I1.0S1.0Px1 type, where x(1) is only a variable. The complex but systematic morphology change was displayed within the range 0.2 <= x(1) <= 10, that is, their structures change from spherical plus lamellae structure for I1.0S1.0P0.2 to periodic tilings (0.4 <= x(1) <= 1.9), then to lamellae-in-lamella (3.0 <= x(1) <= 4.9) and lamellae-in-cylinder (7.9 <= x(1) <= 10) structures with increasing x(1). Here if we pay attention to the structural variation of the P domain inclusively, it transforms from sphere to cylinder, lamella and then to matrix, which is the same as that for linear polymers. Among them, several periodic Archimedean tiling patterns can be naturally formed when the relative lengths of the three chains are close to one another. Moreover, it has been found that the tiling zone is spread out widely. For example, the series I1.0S1.8Px2 (with 0.8 <= x(2) <= 2.9) and the other series I1.0SyP2.0 (with 1.1 <= y <= 2.7) show mostly Archimedean tilings. Additionally, block copolymer/homopolymer blends with a composition of I1.0S2.7P2.5 reveal a quasicrystalline tiling with dodecagonal symmetry. Furthermore, a zinc-blende-type four-branched network structure was created just a little outside of the tiling region for a block copolymer/homopolymer blend of I1.0S2.3P0.8. When some more asymmetry in chain length is introduced, hyperbolic tiling on a gyroid membrane has successfully been constructed for the sample I1.0S1.8P3.2 and it transforms into a hierarchical cylinders-in-lamella structure with further increase in P content to I1.0S1.8P6.4. Thus, kaleidoscopic morphologies have been generated from ABC star-shaped terpolymers and their structural change has turned out to be very sensitive to relative compositions.
• Hyperbolic Tiling on the Gyroid Surface in a Polymeric Alloy (Mathematics of Quasi-Periodic Order)

  DOTERA Tomonari; MATSUZAWA Junichi

  RIMS Kokyuroku 京都大学 1725 80 - 91 1880-2818 2011/02
• Toward the Discovery of Soft Quasicrystals : Simulation Point of View(The Front Line of Pseudo-Crystalline Structures Formed by Complex Polymers)

  Dotera Tomonori

  Journal of the Japanese Association of Crystal Growth 日本結晶成長学会 36 (1) 16 - 23 0385-6275 2009/04 [Refereed][Invited]
   

  Recently much attention has been paid to the search of soft quasicrystals. In view of simulation studies, we explain how to construct quasicrystalline structures: The introduction of additional components, or new length scales is the key to find quasicrystals. We review some results from early to recent studies. In addition, we explain higher dimensional method, approximants, the theory of phason fluctuations, discussion about the origin of the formation of quasicrystals. Finally, we explain our recent studies on ABC star copolymer systems and present the results of simulations of dodecagonal polymeric quasicrystals. To find dodecagonal quasicrystals, the key is to search square-triangle tiling structures with changing components. The role of phason dynamics is also described.
• Symmetry in Polymers : Tricontinuous Cubic and Tiling Structures

  MATSUSHITA Yushu; DOTERA Tomonari

  Kobunshi The Society of Polymer Science, Japan 57 (2) 71 - 75 0454-1138 2009/02 

  Tricontinuous cubic structures and tilings with mesoscopic length scale for two kinds of three-component block copolymers with different architectures have been introduced in conjunction with three- and two-dimensional symmetry in crystallography. A typical example of the former is the tricontinuous Gyroid structure, whose space group is /4132, formed by an ABC linear block terpolymer, while the latter are periodic Archimedean tiling structures of (6.6.6), (4.8.8), (4.6.12) and (3.3.4.3.4), whose space group are p3m1, p4mm, p6mm and p4gm, respectively, observed for star-shaped terpolymers of the /_1.0S_1.0Px type, where I, S and P denote polyisoprene, polystyrene and poly(2-vinylpyridine). Furthermore, a mesoscopic quasicrystalline structure with dodecagonal symmetry has been found for the blend of a star-shaped terpolymer and a homopolymer with the composition of /_1.0S_2.7P_2.5
• Mesoscopic Quasicrystalline and Archimedean Tilings in Polymer Alloys

  DOTERA Tomonari

  Journal of the Crystallographic Society of Japan 日本結晶学会 51 (1) 124 - 126 0369-4585 2009/02 [Invited]
  
• MS84:Quasicrystals and Related Giant Crystalline Alloys

  ABE Eiji; McGrath Ronan; SUGIYAMA Kazumasa; YUBUTA Kunio; HIRAGA Kenji; DOTERA Tomonari

  Nihon Kessho Gakkaishi The Crystallographic Society of Japan 51 (1) 121 - 126 0369-4585 2009
• Giant zincblende structures formed by an ABC star-shaped terpolymer/homopolymer blend system

  Kenichi Hayashida; Atsushi Takano; Tomonari Dotera; Yushu Matsushita

  MACROMOLECULES AMER CHEMICAL SOC 41 (17) 6269 - 6271 0024-9297 2008/09 [Refereed]
   

  We have found a giant zincblende structure with a 45 nm lattice constant in an ABC star polymer / homopolymer blend system. Alternating four-coordinate cellular domains of components A and B form a diamond lattice by using space-division property of ABC star polymers.Transmission electron micrographs reveal spherical domains of A and B with space-filling component C, and small-angle X-ray scattering confirms the corresponding F＼bar{4}3m space group symmetry. The present result opens a new way to construct mesoscale non-close-packed lattices, which have a relevance to photonic applications.
• Pearl-necklace structures in core-shell molecular brushes: Experiments, Monte Carlo simulations, and self-consistent field modeling

  Alexey Polotsky; Marat Charlaganov; Youyong Xu; Frans A. M. Leermakers; Mohamed Daoud; Axel H. E. Mueller; Tomonori Dotera; Oleg Borisov

  MACROMOLECULES AMER CHEMICAL SOC 41 (11) 4020 - 4028 0024-9297 2008/06 [Refereed]
   

  We present theoretical arguments and experimental evidence for a longitudinal instability in core-shell cylindrical polymer brushes with a solvophobic inner (core) block and a solvophilic outer (shell) block in selective solvents. The two-gradient self-consistent field Scheutjens-Fleer (SCF-SF) approach and Monte Carlo (MC) simulations are employed to study a conformational transition which occurs upon a decrease in the solvent strength for the inner block from Theta to poor solvent conditions. It is found that a decrease in the solvent strength for the core block leads to an instability in the cylindrically uniform structure and the appearance of longitudinal undulations in the collapsed core of the molecular brush. This result of our modeling is in excellent agreement with experimental observations on core-shell brushes with poly(acrylic acid) (PAA) core and poly(n-butyl acrylate) shell, where the core forms pearl-necklace-like structures due to either a bad solvent for PAA or complexation with multivalent ions.
• Symmetry in Polymers : Tricontinuous Cubic and Tiling Structures

  MATSUSHITA Yushu; DOTERA Tomonari

  Kobunshi The Society of Polymer Science, Japan 57 (2) 71 - 75 0454-1138 2008/02 [Refereed][Invited]
   

  Tricontinuous cubic structures and tilings with mesoscopic length scale for two kinds of three-component block copolymers with different architectures have been introduced in conjunction with three- and two-dimensional symmetry in crystallography. A typical example of the former is the tricontinuous Gyroid structure, whose space group is /4132, formed by an ABC linear block terpolymer, while the latter are periodic Archimedean tiling structures of (6.6.6), (4.8.8), (4.6.12) and (3.3.4.3.4), whose space group are <I>p3m1</I>, <I>p4mm</I>, <I>p6mm</I> and <I>p4gm</I>, respectively, observed for star-shaped terpolymers of the /<SUB>1.0</SUB><I>S</I><SUB>1.0</SUB><I>P</I>x type, where I, S and P denote polyisoprene, polystyrene and poly(2-vinylpyridine). Furthermore, a mesoscopic quasicrystalline structure with dodecagonal symmetry has been found for the blend of a star-shaped terpolymer and a homopolymer with the composition of /<SUB>1.0</SUB><I>S</I><SUB>2.7</SUB><I>P</I><SUB>2.5</SUB>
• Dodecagonal quasicrystal in a polymeric alloy II: specific heat

  T. Dotera

  PHILOSOPHICAL MAGAZINE TAYLOR & FRANCIS LTD 88 (13-15) 2245 - 2251 1478-6435 2008 [Refereed]
   

  In a previous paper, we reported the formation of a dodecagonal quasicrystal (DDQC) in a quasi-two-dimensional lattice Monte Carlo simulation of a star-shaped polymer. In this paper, we show a series of Archimedean and quasicrystalline phases (4.8(2)) -> (3(2).4.3.4) -> DDQC -> (4.6.12) with increase of one component of ABC star polymers. The phase behaviour can be regarded as a transition between square tiling and triangle tiling via square-triangle tiling. We compare the specific heat for the phases and find that the DDQC sample possesses higher specific heat at high temperatures, which may be attributed to phason dynamics.
• Photonic band structure calculations of two-dimensional Archimedean tiling patterns

  Kazunari Ueda; Tomonari Dotera; Tohru Gemma

  PHYSICAL REVIEW B AMERICAN PHYSICAL SOC 75 (19) 19512  1098-0121 2007/05 [Refereed]
   

  We present a study of photonic band structures of two-dimensional Archimedean tiling patterns. The tilings we have investigated are (4.8(2)), (6(3)), (4.6.12), and (3(2).4.3.4), which have been discovered computationally and experimentally in self-assembled microphase separation of ABC star block terpolymer systems. Using plane-wave method, we have calculated eigenvalue equations for various combinations of dielectric contrast on the complex patterns. We demonstrate the existence of complete photonic band gaps in the (4.6.12) structure. Furthermore, we find that complete photonic bands readily open in the (3(2).4.3.4) structures in the same way as in dodecagonal quasicrystals. Complex tilings open up a way to construct photonic crystals.
• Polymeric quasicrystal: Mesoscopic quasicrystalline tiling in ABC star polymers

  Kenichi Hayashida; Tomonari Dotera; Atsushi Takano; Yushu Matsushita

  PHYSICAL REVIEW LETTERS AMERICAN PHYSICAL SOC 98 (19) 0031-9007 2007/05 [Refereed]
   

  A mesoscopic tiling pattern with 12-fold symmetry has been observed in a three-component polymer system composed of polyisoprene, polystyrene, and poly(2-vinylpyridine) which forms a star-shaped terpolymer, and a polystyrene homopolymer blend. Transmission electron microscopy images reveal a nonperiodic tiling pattern covered with equilateral triangles and squares, their triangle/square number ratio of 2.3 (approximate to 4/root 3), and a microbeam x-ray diffraction pattern shows dodecagonal symmetry. The same kind of quasicrystalline structures have been found for metal alloys (similar to 0.5 nm), chalcogenides (similar to 2 nm), and liquid crystals (similar to 10 nm). The present result (similar to 50 nm) confirms the universal nature of dodecagonal quasicrystals over several hierarchical length scales.
• Mean-field theory of Archimedean and quasicrystalline tilings

  T. Dotera

  PHILOSOPHICAL MAGAZINE TAYLOR & FRANCIS LTD 87 (18-21) 3011 - 3019 1478-6435 2007 [Refereed]
   

  A simple Landau theory of three-component alloy systems under incompressible condition is investigated, which appears to give regions of the phase diagram in which Archimedean tiling phases are stable in two dimensions. Moreover, we find regions where dodecagonal and decagonal quasicrystals appear to be stable. The Alexander-MacTague and Mermin-Troian theories of weak crystallization are revisited.
• Archimedean Tilings Obtained from Polymers

  DOTERA Tomonari

  Butsuri 日本物理学会 61 (8) 598 - 602 0029-0181 2006/08 [Refereed][Invited]
   

  Three-colored two-dimensional tilings like textile designs have been obtained by means of the self-organization of ABC star block copolymers. These tilings are well described by Archimedean tilings studied by Kepler. Recently, an Archimedean tiling (3^2.4.3.4) having more complex molecular environments was found. This structure is known as the σ phase in the Frank-Kasper complex alloy family. Furthermore, it is an approximant of dodecagonal quasicrystals.
• Dodecagonal quasicrystal in a polymeric alloy

  T Dotera; T Gemma

  PHILOSOPHICAL MAGAZINE TAYLOR & FRANCIS LTD 86 (6-8) 1085 - 1091 1478-6435 2006 [Refereed]
   

  We report the formation of an approximant of a dodecagonal quasicrystal in a quasi-two-dimensional lattice Monte Carlo simulation of a star-shaped three-component polymeric alloy. It is associated with the recent striking experimental manifestation of the complex Archimedean tiling (3(2).4.3.4) consisting of triangles and squares, related to the sigma phase in the Frank - Kasper family, but whose edge length is about 80 nm. The simulation box with periodic boundary conditions (128 x 128 x 10) can be regarded as the Stampfli inflation of the (3(2).4.3.4) tiling, an approximant of the dodecagonal quasicrystal. The corresponding edge length of deflated squares and triangles is thought to be about 300 nm. Furthermore, the phason dynamics of the deflated square - triangle tiling is observed at an elevated temperature.
• A mesoscopic Archimedean tiling having a new complexity in an ABC star polymer

  A Takano; W Kawashima; A Noro; Y Isono; N Tanaka; T Dotera; Y Matsushita

  JOURNAL OF POLYMER SCIENCE PART B-POLYMER PHYSICS WILEY-BLACKWELL 43 (18) 2427 - 2432 0887-6266 2005/09 [Refereed]
   

  The Archimedean tiling (3(2).4.3.4) is a regular but complex polygonal assembly of equilateral triangles and squares. This tiling pattern with mesoscopic repeating distance has been found for an ABC star-branched three-component polymer composed of polyisoprene, polystyrene, and poly(2-vinylpyridine). In this structure the environment of a molecule splits into multiple sites and two microdomains with different sizes and shapes, are formed for one component. This complexity is the first observation in complex polymer systems and can lead to a new type of mesoscale self-organization. The tiling pattern has been observed for the other materials on much shorter length-scale; therefore, the experimental fact observed in the present study is demonstrating that the complexity is universal over different hierarchies. (c) 2005 Wiley Periodicals, Inc.
• 『きりんのまだら』書評－きりんのまだらの逆襲

  堂寺 知成

  数学セミナー 90  2004/09 [Invited]
   

  （概 要）平田森三著、キリンのまだら―自然界の統計現象をめぐるエッセイ (ハヤカワ文庫NF―数理を愉しむシリーズ) (文庫)の書評を行った。
• Electrophoresis of long deoxyribonucleic acid in curved channels: The effect of channel width on migration dynamics

  M Ueda; T Hayama; Y Takamura; Y Horiike; T Dotera; Y Baba

  JOURNAL OF APPLIED PHYSICS AMER INST PHYSICS 96 (5) 2937 - 2944 0021-8979 2004/09 [Refereed]
   

  We investigated the dynamics of long deoxyribonucleic acid (DNA) migrating through curved channels under electric fields. Long DNA exhibits large conformational changes in the curved channels because of the inhomogeneity of the electric fields around curves. Two kinds of channel shapes were used for the examination. One (type I) has the same width in the curved region as in the straight region. The other (type II) is wider in the curved region than in the straight region. The difference in migration rates between long DNA and short DNA was larger in type II than in type I chips. We discuss the separation mechanism of the type II chip. (C) 2004 American Institute of Physics.
• Monte Carlo Simulation of Microphase Separations

  DOTERA Tomonari

  Kobunshi 高分子学会 53 (4) 263 - 266 0454-1138 2004/04 [Refereed]
   

  デザインされた分子による自己組織化という概念および技術はますます深く広く進化する概念であり技術である。ここでは,混じり合わない3種類以上の高分子を連結したブロック共重合体系のつくるミクロ相分離構造の多様な可能性を幾何学の観点から論ずる。対角線法という格子モンテカルロ計算法ではじめて可能になった研究である。
• Curvature entropy trapping of long DNA under hydrodynamic flows in microfluidic devices

  M Ueda; T Hayama; Y Takamura; Y Horiike; T Dotera; Y Baba

  JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS INST PURE APPLIED PHYSICS 43 (4A) 1649 - 1650 0021-4922 2004/04 [Refereed]
   

  We investigated the curvature effect on the dynamics of long DNA using microfluidic devices. Long DNA has larger configurational entropy in a curved channel than in a straight channel. Under weak hydrodynamic flows, long DNA exhibited a curvature entropy trapping effect. The effect disappeared as the hydrodynamic flow was increased.
• Simulation of Polymers in Curved Boxes

  SUZUKI Yasuo Y; DOTERA Tomonari; HIRABAYASHI Megumi

  Bulletin of science and engineering, Takushoku University 拓殖大学 9 (1) 33 - 38 0919-8253 2004/01 

  We propose new polymer models for Monte Carlo simulation and apply them to a polymer chain confined in a relatively thin box which has both curved and flat sides, and show that either an ideal or an excluded-volume chain spends more time in the curved region than in the flat region. The ratio of the probability of finding a chain in the curved region and in flat region increases exponentially with increasing chain length. The results for ideal chains are quantitatively consistent with a previously published theory. We find that the same effect appears with excluded-volume chains and a similar scaling relation can be applied to them up to a certain length of the polymer.
• Voronoi space division of a polymer

  N Tokita; M Hirabayashi; C Azuma; T Dotera

  SLOW DYNAMICS IN COMPLEX SYSTEMS AMER INST PHYSICS 708 267 - 268 0094-243X 2004 [Refereed]
   

  In terms of Voronoi division we study the local geometry of a grafted polymer having 52 ends in united-atom molecular dynamics simulations. The volume of a Voronoi polyhedron for a chain end is larger than that for an internal or junction atom, and that it is the most sensitive to temperature. Chain ends dominantly localize at the surface of the globule: While the ratio of surface atoms is only 24% of all atoms, the ratio of ends at the surface is 91% out of all ends. The shape of Voronoi polyhedra for internal atoms is prolate even in the bulk. We find that two specific faces play a significant role in the faces occupy 38% of the total surface area of a Voronoi Voronoi space division of covalently bonding polymers: Two bonding polyhedron and determine the prolate shape.
• Simulations of Gaussian and excluded-volume chains in curved slits

  YY Suzuki; T Dotera; M Hirabayashi

  SLOW DYNAMICS IN COMPLEX SYSTEMS AMER INST PHYSICS 708 257 - 258 0094-243X 2004 [Refereed]
   

  We propose polymer models for Monte Carlo simulation and apply them to a polymer chain confined in a thin box which has both curved and flat sides, and show that either a Gaussian or an excluded-volume chain spends more time in the curved region than in the flat region. The ratio of the probability of finding a chain in the curved region and in flat region increases exponentially with increasing chain length up to a certain length defined by the size of box.
• Voronoi space division of a polymer: Topological effects, free volume, and surface end segregation

  N Tokita; M Hirabayashi; C Azuma; T Dotera

  JOURNAL OF CHEMICAL PHYSICS AMER INST PHYSICS 120 (1) 496 - 505 0021-9606 2004/01 [Refereed]
   

  In order to investigate the topological effects of chain molecules, united-atom molecular dynamics simulations of a 500-mer polyethylene linked by 50 hexyl groups (a grafted polymer having 52 ends) are carried out and analyzed in terms of Voronoi space division. We find that the volume of a Voronoi polyhedron for a chain end is larger than that for an internal or junction atom, and that it is the most sensitive to temperature, both of which suggest higher mobility of chain ends. Moreover, chain ends dominantly localize at the surface of the globule: The striking evidence is that while the ratio of surface atoms is only 24% of all atoms, the ratio of ends at the surface is 91% out of all ends. The shape of Voronoi polyhedra for internal atoms is prolate even in the bulk, and near the surface it becomes more prolate. We propose the concept of bonding faces, which play a significant role in the Voronoi space division of covalently bonding polymers. Two bonding faces occupy 38% of the total surface area of a Voronoi polyhedron and determine the prolate shape. (C) 2004 American Institute of Physics.
• Tricontinuous cubic structures in ABC/A/C copolymer and homopolymer blends

  T Dotera

  PHYSICAL REVIEW LETTERS AMERICAN PHYSICAL SOC 89 (20) 20550  0031-9007 2002/11 [Refereed]
   

  Using the Monte Carlo lattice-simulation technique, we present numerical evidence of the formation of gyroid and nongyroid tricontinuous cubic phases in high polymeric systems of ABC/A/C triblock copolymer and homopolymer blends. By increasing the volume fraction of homopolymer, a remarkable phase sequence G (gyroid) --> D (diamond) --> P (primitive) is observed, which is common to certain surfactant systems. Our results indicate that the ABC triblock copolymer system with blending homopolymers may be a zoo of cubic phases, suitable for comparative studies of these phases.
• Monte Carlo simulations of the morphology of ABC star polymers using the diagonal bond method

  T Gemma; A Hatano; T Dotera

  MACROMOLECULES AMER CHEMICAL SOC 35 (8) 3225 - 3237 0024-9297 2002/04 [Refereed]
   

  The microphase-separated morphology of ABC three-arm star-shaped copolymers with arm-length ratio 1:1:x is investigated by a recently proposed simulation method, the diagonal bond method. Five kinds of two-dimensional (cylindrical) phases, three kinds of lamellar-type phases and two kinds of continuous matrix phases are discovered. The phase diagram is presented: The progression of the morphologies as a function of x is the following: lamella + sphere; five polygonal cylinders, [8.8.4], [6.6.6], [8.6.4; 8.6.6], [10.6.4; 10.6.4; 10.6.6], [12.6.4]; perforated layer; lamella + cylinder; columnar piled disk; lamella-in-sphere. Two remarkable features of ABC star polymer systems are found: first, in all phases junction point monomers gather on lines where three interfaces meet, and second, the section of the cylindrical phase becomes the tessellation of even-numbered polygons. The free energy of the system is also calculated in the strong segregation limit for four kinds of simple phases, and the results are consistent with the simulations.
• ナノポアを通過する長鎖DNAのイメージング解析 : DNAの核膜孔通過過程のモデリングを目指して

  上田 正則; 葉山 哲也; 高村 禅; 堀池 靖浩; 堂寺 知成; 馬場 嘉信

  バイオイメージング 10 (3) 130 - 131 0919-4916 2001/10
• Polymer confinement in undulated membrane boxes and tubes

  T Dotera; YY Suzuki

  PHYSICAL REVIEW E AMERICAN PHYSICAL SOC 62 (4) 5318 - 5323 1063-651X 2000/10 [Refereed]
   

  We consider quantum particle or Gaussian polymer confinement between two surfaces and in cylinders with sinusoidal undulations. In terms of the variational method, we show that the quantum-mechanical wave equations have lower ground-state energy in these geometries under long wavelength undulations, where bulges are formed and waves are localized in the bulges. It turns out correspondingly that Gaussian polymer chains in undulated boxes or tubes acquire higher entropy than in exactly flat or straight ones. These phenomena are explained by the uncertainty principle for quantum particles, and by a polymer confinement rule for Gaussian polymers. If membrane boxes or tubes are flexible, polymer-induced undulation instability is suggested. We find that the wavelength of undulations at the threshold of instability for a membrane box is almost twice the distance between two walls of the box. Surprisingly, we find that the instability for tubes begins with a shorter wavelength compared to the "Rayleigh" area-minimizing instability.
• Microphase separation morphology in multiblock copolymer melts obtained from Monte Carlo simulations

  T Dotera; A Hatano; T Gemma

  KOBUNSHI RONBUNSHU SOC POLYMER SCIENCE JAPAN 56 (10) 667 - 673 0386-2186 1999 

  A lattice polymer simulation method called diagonal bond method is discussed: Why does the method enable us to simulate complex morphologies? We demonstrate cell crystalline structures for ABCD star block copolymers, and cylindrical structures for asymmetric ABC star block copolymers. A common geometric constraint for these starblock copolymers is explicitly given. For ABC triblock copolymers, we have obtained four structures: gyroid, double-diamond, lamellar, and cylindrical structures. For all structures in this paper pictorial presentation is given.
• Cell crystals: Kelvin's polyhedra in block copolymer melts

  T Dotera

  PHYSICAL REVIEW LETTERS AMERICAN PHYSICAL SOC 82 (1) 105 - 108 0031-9007 1999/01 [Refereed]
   

  Using Monte Carlo simulations we find that a monodisperse symmetric ABCD star-block copolymer melt undergoes a microphase separation, in which the three space is divided into cellular domains. The domain shape is a cubooctahedron known as the Wigner-Seitz. cell of the body-centered cubic lattice. To be precise, the shape is a Lord Kelvin's minimal tetrakaidecahedron proposed in 1887 for the space-filling problem of equal-sized foam bubbles. [S0031-9007(98)08139-3].
• Formation of multicontinuous structures in block copolymer melts

  T Dotera; A Hatano

  FORMATION AND DYNAMICS OF SELF-ORGANIZED STRUCTURES IN SURFACTANTS AND POLYMER SOLUTIONS STEINKOPFF DARMSTADT 106 147 - 149 0340-255X 1997 [Refereed]
   

  Using a new lattice polymer simulation method for block copolymers, we have studied a dense polymer system composed of monodisperse linear A-B-C triblock copolymers. We confirm that a tricontinuous structure for linear A-B-C block copolymers observed by Mogi et al. (Macromolecule 25, 5408 (1992) and ibid. 25, 5412 (1992)) could be, indeed, an ordered tricontinuous "double-diamond" (OTDD) structure. In addition, two (symmetric and shifted) OTDD phases and a lamellar phase have been observed in the same simulations. The two OTDD phases are conceivable by shifting one diamond network against the other diamond network.
• The diagonal bond method: A new lattice polymer model for simulation study of block copolymers

  T Dotera; A Hatano

  JOURNAL OF CHEMICAL PHYSICS AMER INST PHYSICS 105 (18) 8413 - 8427 0021-9606 1996/11 [Refereed]
   

  A new lattice model for Monte Carlo simulations of dense polymer melts, developed in the spirit of Verdier-Stockmayer algorithm on square and simple cubic lattices, is presented. By introducing diagonals of squares and cubes as bonds, the lattice model acquires a large number of configurations and wiggling local moves. While it maintains the excluded Volume interactions of monomers, it allows bond crossings and phantom moves, which result in a high mobility of polymers. For an application, we carry out simulations of symmetric A-B block copolymer melts and observe a first-order transition. We also show the stretching of the chains, namely, the non-Gaussian character, as a function of temperature. A quicker evolution towards thermal equilibrium enables us to form an ordered tricontinuous double-diamond (OTDD) phase for linear A-B-C triblock copolymers and a new cylindrical phase for star A-B-C triblock copolymers. (C) 1996 American Institute of Physics.
• Collective atomic flows in random tiling quasicrystals

  T Dotera

  PROCEEDINGS OF THE 5TH INTERNATIONAL CONFERENCE ON QUASICRYSTALS WORLD SCIENTIFIC PUBL CO PTE LTD 232 - 235 1995 [Refereed]
   

  We show that in terms of phason flips collective motions of atoms in quasicrystalline tilings are possible: atomic flows and large deformations. Approximants or large density fluctuations are associated with the atomic flows that cause plastic deformations. In this scheme no dislocations are needed. We view random tilings as metallic rubbers exhibiting plast-elasticity in analogy with the visco-elasticity of polymeric materials.
• COMPUTER STUDIES OF A PHASE-TRANSITION OF ICOSAHEDRAL QUASI-CRYSTALS

  T DOTERA

  MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING ELSEVIER SCIENCE SA 181 758 - 761 0921-5093 1994/05 [Refereed]
   

  In this paper, we present results of Monte Carlo simulations of icosahedral quasicrystals, which investigate the structural change from a Penrose-like phase to a random tiling phase. We demonstrate a finite temperature transition (k(B) T(c) = 1.52 +/- 0.05 in units of mismatch energies), which implies that equilibrium quasicrystalline materials can be energetically stabilized at finite temperature and can undergo a transition to a random tiling phase at high temperature. The structural change characterized by ''sheet'' statistics and ''sheet magnetization'' is illustrated. Dynamic phasons are locked below T(c).
• ISING-LIKE TRANSITION AND PHASON UNLOCKING IN ICOSAHEDRAL QUASI-CRYSTALS

  T DOTERA; PJ STEINHARDT

  PHYSICAL REVIEW LETTERS AMERICAN PHYSICAL SOC 72 (11) 1670 - 1673 0031-9007 1994/03 [Refereed]
   

  Using Monte Carlo computer simulations, we find strong evidence for a novel, finite-temperature, Ising-like transition in the alignment of unit cells in icosahedral quasicrystals. The Ising-like transition may be related to the transition in phason behavior from a locked (Penrose-tiling-like) phase at low temperatures to an unlocked (random-tiling-like) phase at high temperatures.
• PHASON ELASTICITY AND ISING MODELS

  T DOTERA

  QUASICRYSTALS AND IMPERFECTLY ORDERED CRYSTALS TRANSTEC PUBLICATIONS LTD 150 375 - 385 0255-5476 1994 [Refereed]
   

  We illustrate that locking/unlocking transitions between locked (Penrose tiling-like) and unlocked (random tiling-like) phason dynamics for D-dimensional quasicrystals closely relate to the order/disorder transitions for (D-1)-dimensional Ising models. Namely, a hidden Ising-like symmetry in quasicrystals is found. The transition is observed in the ordering/disordering in worms (sheets) for 2D (3D) quasicrystals. In this paper, a finite-temperature phase transition with the 2D Ising critical exponents in 3D icosahedral quasicrystals is demonstrated using Monte Carlo computer simulations. We also propose a new type of quasicrystals called "absolutely locked quasicrystals" in which uniform phason shifts are prohibited.
  
  Keywords: Penrose Tilings, Icosahedral Quasicrystals, Phase Transformation, Locked Phason Dynamics, Ising Models, Computer Simulation
• DYNAMICAL-SYSTEMS FOR QUASI-PERIODIC CHAINS AND NEW SELF-SIMILAR POLYNOMIALS

  TK SUZUKI; T DOTERA

  JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL IOP PUBLISHING LTD 26 (22) 6101 - 6113 0305-4470 1993/11 [Refereed]
   

  Dynamical systems in SL(2, R) or SL(2, C) naturally appear in the transfer matrix method for quasiperiodic chains characterized by arbitrary irrational numbers. We show new sub-dynamical systems and invariants that are related to full diagonal and off-diagonal components of the transfer matrices; they are analogous to formulae of Chebyshev polynomials of the first and second kinds. Applying them to an electronic problem on the Fibonacci chain, we obtain sets of self-similar polynomials, quasiperiodic extension of the Chebyshev polynomials of the first and second kinds with self-similar properties. Two scaling factors of the self-similarities coincide with ones obtained by the perturbative decimation renormalization group method.
• Self-similar polynomials and self-similar wave functions obtained from a Fibonacci quasicrystals

  Tomonari Dotera

  Proceedings of the 5th. Intl. Conf. on Quasicrystals, World Scientific 232 - 235 1991/05 [Refereed]
   

  Recently, a new approach for studying the electronic problem of a 1-D Fibonacci quasicrystal was proposed based on transfer matrix method. The method relies on computing the trace of the transfer matrix in terms of a new set of self-similar polynomials, a quasiperiodic generalization of the Chebyshev polynomials. In this paper, we show how the method can be applied to solve for six-cycle self-similar wave functions.
• Comments on Eigenvalue Problems on the Fibonacci Quasicrystals

  Tomonari Dotera

  Proceedings of China-Japan Seminars, Quasicrystals, World Scientific 316 - 323 1991/04 

  We review our recent development for electronic problems on the Fibonacci quasicrystal. Our method relies on transfer matrix method in terms of a new set of self-similar polynomials, a quasiperiodic generalization of the Chebyshev polynomials of the first kind. We discuss physical meaning with recourse to the polynomials, which clarifies the relation between the lattice and spectrum.
• ZEROS OF PARTITION-FUNCTION AND HIGH-TEMPERATURE EXPANSION FOR THE 2-DIMENSIONAL ISING-MODELS

  R ABE; T DOTERA; T OGAWA

  PROGRESS OF THEORETICAL PHYSICS PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE 85 (3) 509 - 525 0033-068X 1991/03 [Refereed]
   

  Distribution of zeros of partition function Z without magnetic field is studied for some two-dimensional Ising models with nearest-neighbor interactions. The distributions are presented graphically for the honeycomb, triangular, diced and Kagome lattices. It is shown that an asymptotic form of high temperature expansion for lnZ is closely related with the distribution of zeros. The expansion coefficients are derived up to large orders by computer for the honeycomb and Kagome lattices. It turns out that their oscillatory behaviors are understood very well by studying the zeros off the positive real axis, in particular the period of oscillation for the Kagome lattice is proved to be about 5.25.
• PROPERTIES OF DECAPOD DEFECTS

  T DOTERA; HC JEONG; PJ STEINHARDT

  METHODS OF STRUCTURAL ANALYSIS OF MODULATED STRUCTURES AND QUASICRYSTALS WORLD SCIENTIFIC PUBL CO PTE LTD 660 - 666 1991 

  We present some results from an ongoing analysis of "decapod defects" in Penrose tilings. This class of topological defects, which appears to be unique to quasiperiodic systems, may play an important role in the rapid growth of large, near-perfect quasicrystals and in the phase transformation from quasicrystals to crystals.
• CRITICAL COMPRESSIBILITY FACTOR OF 2-DIMENSIONAL LATTICE GAS - KAGOME AND DICED LATTICES

  R ABE; T DOTERA; T OGAWA

  PROGRESS OF THEORETICAL PHYSICS KYOTO UNIV 84 (3) 425 - 435 0033-068X 1990/09 [Refereed]
   

  The critical compressibility factor Zc at the gas-liquid critical point is defined by Zc=pcVc/NkBTc (pc: critical pressure, Vc: critical volume, Tc: critical temperature, kB: Boltzmann's constant, N: number of molecules). The Zc of the lattice gas on the Kagome or diced lattice is discussed. First, on the basis of exact solution for the partition function Z of the Ising model without magnetic field on these lattices, the Zc is calculated exactly. The results are Zc=0.08330842... (Kagome lattice) and Zc=0.14284554... (diced lattice). Secondly, high temperature expansion for Zc is studied and the expansion is carried out up to w13 for the Kagome lattice and up to w12 for the diced lattice. Extrapolation procedures for obtaining Zc are discussed. A similarity between the diced and Penrose lattices and the one between the Kagome and dual Penrose lattices are pointed out.
• HIGH-TEMPERATURE EXPANSION FOR THE ISING-MODEL ON THE DUAL PENROSE LATTICE

  T DOTERA; R ABE

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN PHYSICAL SOCIETY JAPAN KIKAI-SHINKO BUILDING 59 (6) 2064 - 2077 0031-9015 1990/06 [Refereed]
   

  High temperature expansion for ln Z(Z : the partition function in the absence of a magnetic field) of the Ising model on the dual Penrose lattice is discussed. The terms up to w10 are derived by using projection method. The critical compressibility factor Zc and the average correlation function C are calculated in terms of duality relation. The final results are Zc = 0.0846 +-0.007 and C= 0.7403+-0.0024, which are confirmed by the expansion. Lattice constants are shown in some tables.
  
  Keywords: critical phenomena, critical compressibility factor, dual Penrose lattice, duality, high temperature expansion, Ising model, lattice constant, projection method, theory
• HIGH-TEMPERATURE EXPANSION FOR THE ISING-MODEL ON THE PENROSE LATTICE

  R ABE; T DOTERA

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN PHYSICAL SOCIETY JAPAN 58 (9) 3219 - 3226 0031-9015 1989/09 [Refereed]
   

  High temperature expansion for ln Z (Z: the partition function in the absence of magnetic field) of the Ising model on the Penrose lattice is discussed. The terms up to the order of w8 are derived. To illustrate an extrapolation procedure employed here, the critical compressibility factor Zc and the correlation function C at Tc, for the neighboring spin pair are first treated in the case of two-dimensional square lattice. It turns out that the terms up to w8 for ln Z lead to the results within the error of 0.2 ~ 0.30% as compared to exact values. Along the same line, Zc and C (average correlation function) are calculated for the Penrose lattice. The final results are Zc=0. 138+-0.002 and C=0.673+-0.003.
  
  Keywords: high temperature expansion, Ising model, Penrose lattice, critical phenomena, theory
• SELF-SIMILAR POLYNOMIALS OBTAINED FROM A ONE-DIMENSIONAL QUASIPERIODIC MODEL

  T DOTERA

  PHYSICAL REVIEW B AMERICAN PHYSICAL SOC 38 (16) 11534 - 11542 0163-1829 1988/12 [Refereed]
   

  We present new polynomials with self-similar properties, which are obtained from the Fibonacci-chain model. The crystalline analogs are the Chebyshev polynomials of the first kind. The polynomials are akin to the fixed points of a renormalization-group equation. The structure of the zeros of the polynomials forms a tree, which we call the Fibonacci tree. Using this tree, we discuss the electronic spectrum of tight-binding models.
• 一次元フィボナッチ準結晶の電子状態 : 繰り込み群による解析

  堂寺知成

  物性研究 物性研究刊行会 84 (2) 870 - 871 0525-2997 1987/05 

  フィボナッチ準結晶の電子状態を繰り込み群によって解析し、電子エネルギースペクトルの自己相似構造を議論した。

Books etc

• 工学基礎 熱力学・統計力学

  堂寺 知成 (Single work)数理工学社（サイエンス社） 2009/01 

  熱力学の基礎から量子統計などの基礎的な統計力学を経て相転移などの応用までを扱う．理解促進のための小見出しと，金属・高分子・ソフトマター・環境関連問題ほか，多くの具体的な例題と図を用いて解説．
• 放送大学（テレビ）印刷教材 熱と温度(‘08)

  堂寺 知成; 齋藤 一弥 (Joint work)放送大学教育振興会 2008/03 

  （全ページ）p.181 全15章（分 担）1-7,15章 （概 要）統計熱力学を講述した。 1章「熱と温度」、2章「分子の熱運動」、3章「マクスウェルの速度分布」、4章「統計力学の考え方」、5章「マクスウェル－ポルツマン分布と応用」、6章「相転移」、7章「量子統計」、15章「熱伝導」
• 放送大学大学院（テレビ）印刷教材 複雑システム科学(‘07)

  生井澤 寛; 堂寺 知成 (Joint work)放送大学教育振興会 2007/03 

  （全ページ）p.265 全15章（分担執筆）堂寺知成 3,4,5章 （概 要）大学院講義「複雑システム科学」を概説した。3章「準結晶：複雑さの中の美しさ」4章「複雑分子：秩序構造の建築家」、5章「共連続相：ミクロ世界のラビリンス」
• 自然に学ぶ材料プロセッシング

  高野敦志; 堂寺知成 (Contributor)三共出版 2007/03 

  全ページ）p.450 （共著者）高野敦志, 堂寺知成 （分担執筆）p.155-160 （概 要）『自己組織化により形成される複合高分子系の凝集構造形成シミュレーション』
• 基礎高分子科学 (高分子学会編)

  堂寺知成 (Contributor)東京化学同人 2006/07 

  （全ページ）p.450 （共著者）基礎高分子科学編集委員会 （分担執筆）堂寺知成 p.69 （概 要）『計算機で描く溶液中の高分子ブラシの姿』
• かたちの科学 百科事典 (形の科学会編集)

  堂寺知成 (Contributor)朝倉書店 2004/08 

  （全ページ）p.906（共著者）小川泰 他編集 （分担執筆）堂寺知成 p.380-382 （概 要）『高分子のつくる空間分割』
• 放送大学（テレビ）印刷教材 計算科学(‘03)

  杉本 大一郎; 堂寺 知成 (Joint work)放送大学教育振興会 2003/03 

  （全ページ）p.310 全15章（分担執筆）堂寺知成 8章 pp.138-149 （概 要）計算科学のもたらすパラダイムシフトを概説した。8章「確率とモンテカルロ計算」
• 放送大学（テレビ）印刷教材 エネルギーと熱(‘03)

  岡部豊; 堂寺知成 (Joint work)放送大学教育振興会 2003/03 

  （全ページ）p.181 全15章（分 担）1～6章 （概 要）熱統計力学を講述した。1章「各種のエネルギーとエネルギー変換」、2章「温度と熱」、3章「熱力学第一法則」、4章「熱機関」、5章「熱力学第二法則」、6章「熱伝導」
• 放送大学（テレビ）印刷教材 運動と力(‘01)

  阿部龍蔵; 堂寺知成 (Joint work)放送大学教育振興会 2001/03 

  （全ページ）p.217 全15章（分 担）3,4,7,8,11章 （概 要）力学を講述した。 2章「運動の法則」、4章「非線形力学」、7章「計算機の応用」、8章「流体の運動」、9章「構造力学」
• 放送大学（テレビ）印刷教材 エネルギーと熱(‘98)

  阿部龍蔵; 堂寺知成 (Joint work)放送大学教育振興会 1998/03 181 

  （全ページ）p.181 全15章（分 担）3,4,7,8,11章 （概 要）熱統計力学を講述した。 3章「温度と熱」、4章「熱力学第一法則」、7章「分子の熱運動」、8章「マクスウェルの速度分布則」、11章「熱とエントロピー」

Conference Activities & Talks

• Programmable Self-Assembly of Nanoplates into Bicontinuous Nanostructures  [Not invited]

  Hideaki Tanaka, ○Tomonari Dotera, Stephen T. Hyde

  The 7th International Soft Matter Conference (ISMC2023, Sept.4-8, Osaka)  2023/09
• Metallic-mean Quasicrystals as Aperiodic Approximants  [Invited]

  Tomonari Dotera

  26TH CONGRESS AND GENERAL ASSEMBLY OF THE INTERNATIONAL UNION OF CRYSTALLOGRAPHY (IUCr 2023, Aug.22-29, Melbourne)  2023/08
• A basic study on sound absorption characteristics of disordered hyperuniform periodic structures  [Not invited]

  A. Sugahara; T. Dotera

  the 52nd International Congress and Exposition on Noise Control Engineering (inter-noise 2023, Aug.20-23, Makuhari Messe, Chiba)  2023/08
• Programmable Self-Assembly of Nanoplates into Bicontinuous Nanostructures  [Not invited]

  Hideaki Tanaka; ○Tomonari Dotera; Stephen T. Hyde

  28th International Conference on Statistical Physics (Statphys28, Aug.7-11, Tokyo Univ.)  2023/08
• Hexagulation numbers: the Magic numbers of equal spheres on the Gyroid surfaces  [Not invited]

  Kana Yamamoto and Tomonari Dotera

  28th International Conference on Statistical Physics (Statphys28, Aug.7-11, Tokyo Univ.)  2023/08
• Hexagonal metallic-mean tilings as aperiodic approximants of the honeycomb lattice  [Not invited]

  T. Matsubara; ○A. Koga; S. Coates; T. Dotera

  The 15th International Conference on Quasicrystals (ICQ15, June 18-23, Tel Aviv Univ.)  2023/06
• Quasicrystals formed by extended hard-core/square-shoulder potentials  [Not invited]

  M. Takase; K. Morimoto; ○T. Dotera

  The 15th International Conference on Quasicrystals (ICQ15, June 18-23, Tel Aviv Univ.)  2023/06
• (23aF2-5) ハニカム格子を近似する非周期的貴金属比タイリング  [Not invited]

  松原虎之介; 古賀昌久; 堂寺知成

  日本物理学会春季大会  2022/03
• (18pPSM-8)拡張HCSSペアポテンシャルを用いた新規6方準結晶のモンテカルロシミュレーション

  森本康太; 堂寺知成

  日本物理学会第77回年次大会（岡山大学・岡山理科大学オンライン）  2022/03
• Tübingen triangle tilings formed by hard-core/square-shoulder particles

  Mikoto Takase; Tomonari Dotera

  Materials Research Meeting 2021 (MRM21)（PACIFICO YOKOHAMA）  2021/12
• Quasiperiodic tiling and density wave pictures in hexagonal quasicrystals  [Invited]

  Tomonari Dotera; Kota Morimoto; Andrew Archer; Alastair Rucklidge

  Materials Research Meeting 2021 (MRM21)（PACIFICO YOKOHAMA）  2021/12
• (14pF2-6) ハードコア-ソフトショルダー粒子系のチュービンゲン三形タイリングの構造形成

  高瀬みこと; 堂寺知成

  日本物理学会第76回年次大会（オンライン）  2021/03
• ハードコア-ソフトショルダー粒子系のチュービンゲン三形タイリングの構造形成

  高瀬みこと; 堂寺知成

  回準結晶研究会;オンライン;新学術領域ハイパーマテリアル第;回若手研究会  2021/03
• ジャイロイド-3Dキラル構造の新しい見方  [Invited]

  堂寺知成

  高分子講演会（東海）オンライン  2020/12
• Geometry in Soft Mater Gyroid: From a Numerical Study Viewpoint  [Invited]

  日本化学会第100春季年会（2020）企画51：ジャイロイドの物質科学  2020/03
• (17pA21-1) アンマン・ビーンカータイリングから派生する準周期的タイリング構造II  [Not invited]

  中蔵丈一郎; 堂寺知成

  日本物理学会第75回年次大会（名古屋大学東山キャンパス）  2020/03
• (17aK36-2)ソフトジャイロイドの計算科学  [Invited]

  堂寺知成

  日本物理学会第75回年次大会（名古屋大学東山キャンパス）領域12,3,4 合同シンポジウム: ジャイロイドの物質科学―最近の進展  2020/03
• 金属比準結晶と近似準結晶  [Invited]

  堂寺知成

  離散幾何解析とその周辺 2019 (7-8 Dec., 2019, CIC東京）  2019/12
• 2つの長さスケールを持つ斥力粒子系の結晶成長シミュレーション  [Not invited]

  高瀬みこと; 堂寺知成

  固液を区別するパラメタ―長距離秩序か配向秩序か―（大阪電気通信大学 エレクトロニクス基礎研究所）  2019/11
• Aperiodic tilings derived from the Ammann-Beenker tiling  [Not invited]

  Joichiro Nakakura

  Interdisciplinary Symposium for Quasicrystals and Strongly Correlated Electron Systems (23-27 June, 2019, Tohoku University  2019/06
• Metallic-mean quasicrystals: Sequences of quasicrystals that approach crystals  [Invited]

  Tomonari Dotera

  Interdisciplinary Symposium for Quasicrystals and Strongly Correlated Electron Systems (23-27 June, 2019, Tohoku University  2019/06
• Metallic-mean quasicrystals: Sequences of quasicrystals that approach crystals  [Invited]

  Tomonari Dotera

  International Workshop on Soft Matter: Analysis, Computation, and Applications (14-16 June, 2019, Jilin University, Changchun, China)  2019/06
• Metallic-mean quasicrystals: Sequences of quasicrystals that approach crystals  [Invited]

  Tomonari Dotera

  The 14th International Conference on Quasicrystals (ICQ14) (May 26-31, Kranjska Gora, Slovenia)  2019/05
• Aperiodic tilings derived from the Ammann-Beenker tiling  [Not invited]

  Joichiro Nakakura

  The 14th International Conference on Quasicrystals (ICQ14) (May 26-31, Kranjska Gora, Slovenia)  2019/05
• Bronze-mean hexagonal quasicrystal  [Not invited]

  Tomonari Dotera

  Seminar, Australian National University  2019/03
• 15a202−3 アンマン・ビーンカータイリングから派生する準周期的タイリング構造  [Not invited]

  中蔵丈一郎; 堂寺知成

  日本物理学会第74回年次大会（九州大学伊都キャンパス）  2019/03
• 青銅比準結晶と近似準結晶  [Invited]

  堂寺知成

  談話会（九州大学）  2019/01
• ハードコア-ソフトシェル粒子系の準結晶形成 堂寺知成  [Invited]

  堂寺知成

  『結晶成長の数理』第13回研究会 結晶成長とモンテカルロシミュレーション （学習院大学）  2018/12
• 青銅比準結晶から派生する非周期的タイリング構造II  [Not invited]

  中蔵丈一郎; 堂寺知成; Primoz Ziherl; 松澤淳一

  準結晶研究会（東京理科大葛飾）  2018/12
• Self-assembly of hexagons into infinite bicontinuous cubic polyhedra  [Not invited]

  Tomonari Dotera

  23rd Australian Institute of Physics (AIP) Congress (University of Western Australia, Perth, Australia), 9H - Focus Session - 50 years of Bicontinuous Cubic Phases  2018/12
• Two extensions of crystallography: Bronze-mean quasicrystal and crystals on saddle-shaped surfaces  [Invited]

  堂寺知成

  第47回結晶成長国内会議（JCCG-47）(仙台市戦災復興記念館)  2018/11
• 青銅比準結晶から派生する非周期的タイリング構造  [Not invited]

  中蔵丈一郎

  近畿大学大学院第8回院生サミット  2018/09
• 9pA220-5 青銅比準結晶から派生する非周期的タイリング構造II  [Not invited]

  中蔵丈一郎; 堂寺知成; Primoz Ziherl; 松澤淳一

  日本物理学会秋季大会（同志社大学田辺）  2018/09
• Bronze-mean quasiperiodic tiling and its extensions  [Invited]

  Tomonari Dotera

  Quasicrystals: pattern formation and aperiodic order ((June 4-8, International Center for Mathematical Sciences, Edinburgh, Scotland)  2018/06
• Associated tilings derived from the bronze-mean quasicrystal  [Not invited]

  Joichiro Nakakura; Tomonari Dotera; Primoz Ziherl

  Quasicrystals: pattern formation and aperiodic order ((June 4-8, International Center for Mathematical Sciences, Edinburgh, Scotland)  2018/06
• Bronze-mean quasicrystalline tiling and its extensions  [Invited]

  Tomonari Dotera

  AIMaP 研究会「結晶構造と準結晶の数理」（筑波大学）  2018/03
• 25aPS-74 散逸粒子動力学法によるコアシェル型スターポリマーの自己集合挙動  [Not invited]

  高橋佑輔; 荒井規允; 堂寺知成

  日本物理学会年次大会（東京理科大学野田）  2018/03
• 22pK701-12 正6角形の自己組織化による切頭8面体の周期構造  [Not invited]

  田中秀明; 堂寺知成

  日本物理学会年次大会（東京理科大学野田）  2018/03
• 22aK509-6 青銅比タイリングの電子状態  [Not invited]

  川邉 司; 堂寺知成

  日本物理学会年次大会（東京理科大学野田）  2018/03
• 22aK509-5 青銅比準結晶から派生する非周期的タイリング構造  [Not invited]

  中蔵丈一郎; 堂寺知成; Primoz Ziherl

  日本物理学会年次大会（東京理科大学野田）  2018/03
• 22aK509-4 ハードコア－ソフトショルダー粒子系のつくる黄金樽タイリング構造  [Not invited]

  太田勇輝; 別宮進一; 堂寺知成; Primoz Ziherl

  日本物理学会年次大会（東京理科大学野田）  2018/03
• p15 2種類の正6角形の自己組織化による切頂8面体のネットワーク構造  [Not invited]

  田中秀明; 堂寺知成

  第7回ソフトマター研究会（京都大学）  2017/10
• p08 剛体球によるＰ、Ｇ、D曲面上のアルダー転移  [Not invited]

  高橋佑輔; 田中秀明; 堂寺知成

  第7回ソフトマター研究会（京都大学）  2017/10
• 24pN23-8 P、G、D曲面上の剛体球の相転移 II  [Not invited]

  高橋佑輔; 田中秀明; 堂寺知成

  日本物理学会秋季大会（岩手大学）  2017/09
• 24pN23-7 P、G、D曲面上の剛体球の相転移 I  [Not invited]

  田中秀明; 高橋佑輔; 堂寺知成

  日本物理学会秋季大会（岩手大学）  2017/09
• Two extensions: Bronze-mean quasicrystal and crystals on saddle-shaped surfaces  [Invited]

  Tomonari Dotera

  The 24th Congress & General Assembly of the International Union of Crystallography 2017 (IUCr24, Aug. 21 - 28, Hyderabad International Convention Centre, India)  2017/08
  Download
• The magic numbers of equal spheres on triply periodic minimal surfaces  [Not invited]

  T. Dotera; H. Tanaka; Y. Takahashi

  The 10th Liquid Matter Conference (Liquids 17, July 17 - 21, The Cankarjev dom Cultural and Congress Centre in Ljubljana, Slovenia)  2017/07
  Download
• Two extensions in crystallography: Bronze-mean quasicrystal and crystals on saddle-shaped surfaces  [Not invited]

  Tomonari Dotera

  Monday physics colloquium, Dept. of physics, Univ. of Ljubljana (Ljubljana, Slovenia)  2017/03
• 青銅比準結晶のシミュレーション  [Not invited]

  堂寺知成

  準結晶研究会（北大工学部）  2017/03
• P、G、D 曲面上の球状粒子がつくる結晶構造の相転移シミュレーション  [Not invited]

  田中秀明; 高橋佑輔; 堂寺知成

  2016年度 高分子基礎物性研究会・高分子計算機科学研究会・高分子ナノテクノロジー研究会 合同討論会（東京農工大）  2016/12
• 3重周期極小曲面上の剛体球のアルダー転移に現れる魔法数  [Not invited]

  堂寺知成; 田中秀明; 高橋佑輔

  ソフトマター研究会（北大）  2016/10
• Bronze-mean hexagonal quasicrystal  [Invited]

  Tomonari Dotera

  13th International Conference on Quasicrystals (ICQ13, Sept. 18 - 23, Kathmandu, Nepal)  2016/09
• Origin of 18-fold quasicrystal  [Not invited]

  S. Bekku; P. Ziherl; T. Dotera

  13th International Conference on Quasicrystals (ICQ13, Sept. 18 - 23, Kathmandu, Nepal)  2016/09
• Regular Arrangement on the P-Surface  [Not invited]

  Yusuke Takahashi; Tomonari Dotera

  Animal Vegetal Minearal? Boden Research Conference (Sept. 19-23, Yallingup, Western Australia, Australia)  2016/09
• Regular Arrangement on the D-Surface  [Not invited]

  Hideaki Tanaka; Tomonari Dotera

  Animal Vegetal Minearal? Boden Research Conference (Sept. 19-23, Yallingup, Western Australia, Australia)  2016/09
• 青銅比準結晶相の発見  [Not invited]

  堂寺知成; 別宮進一; P. Ziherl

  ソフトマター研究会（東北大学）  2015/12
  Download
• ハードコア矩形ショルダー粒子系がつくる新規タイリング構造  [Not invited]

  別宮進一; 堂寺知成

  2015/12
• 三重周期極小曲面上の剛体球－プリミティブ曲面－  [Not invited]

  高橋佑輔; 堂寺知成

  ソフトマター研究会（東北大学）  2015/12
• 三重周期極小曲面上の剛体球−ダイヤモンド曲面−  [Not invited]

  田中秀明; 堂寺知成

  ソフトマター研究会（東北大学）  2015/12
• ペンローズ格子の剛体菱形による無秩序・秩序転移  [Not invited]

  堤一真; 堂寺知成

  ソフトマター研究会（東北大学）  2015/12
• Hard-core/square-shoulder quasicrystals  [Invited]

  T. Dotera; S. Bekku; P. Ziherl

  Toyota RIKEN International Workshop 2015, Strongly Correlated Electron Systems: Open Space between Heavy Fermions and Quasicrystal (Nagoya Univ.)  2015/11
• Novel periodic and aperiodic tilings formed by hard-core/square-shoulder particles  [Not invited]

  S. Bekku; T. Dotera

  Toyota RIKEN International Workshop 2015, Strongly Correlated Electron Systems: Open Space between Heavy Fermions and Quasicrystal (Nagoya Univ.)  2015/11
• 青銅比タイリング  [Not invited]

  堂寺知成

  強非周期タイル集合とその周辺（京大数理解析研究所）  2015/10
• 17pPSB-30 プリミティブ曲面上の剛体球の配置  [Not invited]

  高橋 佑輔; 堂寺 知成

  日本物理学会講演概要集  2015/09
• 17pPSB-31 Hard spheres on the Diamond surface  [Not invited]

  Tanaka Hideaki; Dotera Tomonari

  日本物理学会講演概要集  2015/09
• 16pCU-7 Novel tiling structures in core-shell particle systems  [Not invited]

  Bekku Shinichi; Dotera Tomonari

  日本物理学会講演概要集  2015/09
• Regular tessellations of hard spheres on the P-surface  [Not invited]

  Tomonari Dotera

  Gordon Research Conference, Soft Condensed Matter Physics (Colby-Sawyer College, New London, NH)  2015/08
• Hard Spheres on the Diamond Surface  [Not invited]

  Hideaki Tanaka; Tomonari Dotera

  Workshop on minimal surfaces (Nara)  2015/04
• Hard Spheres on the Primitive Surface  [Not invited]

  Yusuke Takahashi; Tomonari Dotera

  Workshop on minimal surfaces (Nara)  2015/04
• Hard Spheres on the Primitive Surface  [Invited]

  Tomonari Dotera

  APS March Meeting (San Antonio, Texas), Focus Session: Beyond the Gyroid: Complex Network Phases in Self-Assembled Soft Materials  2015/03
• ソフトマター準結晶  [Invited]

  堂寺知成

  第一回研究発表交流会（近畿大学） ランチョンセミナー講演  2014/12
• ハードコア-ソフトショルダー粒子系のつくる新規タイリング構造  [Not invited]

  別宮進一; 堂寺知成

  準結晶研究会（ラフォーレ蔵王）  2014/12
• ハードコア-ソフトシェル粒子系準結晶のモンテカルロシミュレーション  [Not invited]

  Tomonari Dotera

  高分子計算機科学研究会・高分子ナノテクノロジー研究会討論会（東工大）  2014/12
• ソフトマター準結晶  [Invited]

  堂寺知成

  「JSTさきがけ[超空間]領域会議」（クロスウエーブ幕張） ナイトセッション講演  2014/11
• Mosaic quasicrystals: Isosceles triangular tilings  [Invited]

  Tomonari Dotera

  「準結晶の数学的モデルとその周辺」（京大数理解析研究所）  2014/10
• 1Pd42コアシェル粒子系の18回対称準結晶  [Not invited]

  別宮進一; 堂寺知成

  高分子討論会（長崎大学）  2014/09
• 1K032つの長さスケールを持つモザイク準結晶のシミュレーション  [Not invited]

  堂寺知成; 大城辰也; P. Ziherl

  高分子討論会（長崎大学）  2014/09
• Chair, Organizer  [Invited]

  Tomonari Dotera

  IUCr2014 MS-57 Macromolecular and Soft-matter Aperiodic Crystals (crystallography, growth and self-assembly, applications)  2014/08
• Soft Matter Quasicrystals  [Invited]

  Tomonari Dotera

  IUCr2014 Workshop: Introduction to Aperiodic Crystals  2014/08
• The Expanding Universe of Quasicrystals  [Invited]

  Tomonari Dotera

  2011年ノーベル化学賞ダン・シェヒトマン特別教授 名古屋大学大学院特別講演会  2014/05
• 30aPS-127 ハードコア-ソフトショルダー粒子系の二次元準結晶 : 頂点統計(30aPS 領域12ポスターセッション,領域12(ソフトマター物理・化学物理・生物物理))  [Not invited]

  別宮 進一; 堂寺 知成

  日本物理学会講演概要集  2014/03
• 29pCB-8 Wrapping up : Complex Order-Transdisiplinary Approach with Various Materials Fields-  [Invited]

  Dotera Tomonari

  Meeting abstracts of the Physical Society of Japan  2014/03
• ハードコア-ソフトショルダー粒子系の2次元準結晶−頂点統計  [Not invited]

  別宮進一; 堂寺知成

  準結晶研究会（東京理科大学）  2013/12
• Random quasicrystals formed by hard-core/square-shoulder particles  [Not invited]

  Dotera; T. Oshiro; P. Ziherl

  International Conference: Geometry and Physics of Spatial Random Systems (Freudenstadt (Black Forest), Germany)  2013/09
• Simulation study of two-lengthscale quasicrystals  [Not invited]

  T. Dotera; T. Oshiro; P. Ziherl

  12th International Conference on Quasicrystals (ICQ12, Sept. 1 - 6, Kraków, Poland)  2013/09
• 27pXC-4 Confined Polymers  [Invited]

  Dotera Tomonari

  Meeting abstracts of the Physical Society of Japan  2013/03
• Quasicrystals formed by hard-core/square-shoulder particles  [Not invited]

  Tomonari Dotera

  東大物性研究所 理論セミナー  2013/02
• ハードコア-ソフトショルダー粒子系の2次元準結晶ー多角形解析  [Not invited]

  小林 昭博; 堂寺知成

  準結晶研究会（近大ブロッサムカフェ多目的ホール）  2012/12
• ハードコア-ソフトショルダー粒子系の2次元準結晶形成  [Not invited]

  堂寺知成; 大城辰也; P. Ziherl

  準結晶研究会（近大ブロッサムカフェ多目的ホール）  2012/12
• Hard Spheres on the Gyroid Surface  [Not invited]

  Tomonari Dotera

  MRS Fall Meeting 2012 (Boston)  2012/11
• Quasicrystals formed by hard-core/square-shoulder particles  [Not invited]

  Tomonari Dotera

  MRS Fall Meeting 2012 (Boston)  2012/11
• ソフト準結晶 - 準結晶の新展開 - 2011年ノーベル化学賞「準結晶の発見」  [Invited]

  堂寺知成

  高分子分析研究懇談会（品川ホテル ゆうぽうと）  2012/09
• 20aAK-10 2D Quasicrystal formation of hardcore-soft shoulder particles  [Not invited]

  Dotera T; Oshiro T; Ziherl Primoz

  Meeting abstracts of the Physical Society of Japan  2012/09
• Quasicrystals formed by hard-core/square-shoulder particles  [Not invited]

  T. Dotera; T. Oshiro; P. Ziherl

  Aperiodic 2012 (Cairns, Australia)  2012/09
• 3pd026ハードコア-ソフトシェル粒子系の準結晶形成シミュレーションII  [Not invited]

  堂寺知成; 大城辰也; P. Ziherl

  高分子学会年次大会（パシフィコ横浜）  2012/05
• #102QUASICRYSTALS FORMED BY HARD-CORE/SQUARE-SHOULDER PARTICLES  [Not invited]

  T. Dotera; T. Oshiro; P. Ziherl

  Quasicrystal International Conference at Taipei Tech (30 years of the QC)  2012/05
• 26pBH-5 Physics of Quasicrystals : Theoretical Aspect  [Invited]

  Dotera Tomonari

  Meeting abstracts of the Physical Society of Japan  2012/03
• 25aBF-7 Phase Transition of Hard Spheres on the Gyroid Surface  [Not invited]

  Dotera T; Kimoto M; Matsuzawa J

  Meeting abstracts of the Physical Society of Japan  2012/03
• ジャイロイド曲面上の剛体球のアルダー転移  [Invited]

  堂寺知成

  筑波大学機能物質創成研究拠点若手啓発講演会（兼 つくばソフトマター講演会） 「キュービック相の科学：普遍性と特殊性」  2012/03
• Phase Transition of Hard Spheres on the Gyroid Surface  [Not invited]

  M. Kimoto; T. Dotera; J. Matsuzawa

  Phase Transition Dynamics in Soft Matter : Bridging Microscale and Mesoscale  2012/02
• ハードコア-ソフトシェル粒子系の準結晶形成  [Not invited]

  堂寺知成; 大城辰也; P. Ziherl

  準結晶研究会（北大）  2011/12
• Quasicrystalline and Archimedean Phases in Polymeric Alloys  [Invited]

  Tomonari Dotera

  Monday physics colloquium, Dept. of physics, Univ. of Ljubljana (Ljubljana, Slovenia)  2011/10
• Hard Spheres on the Gyroid Surface  [Not invited]

  Tomonari Dotera; Masakiyo Kimoto; J. Matsuzawa

  Geometry of Interfaces (Primosten, Croatia)  2011/10
• Hard Disks on the minimal Gyroid surface  [Not invited]

  Tomonari Dotera; Masakiyo Kimoto; J. Matsuzawa

  The eighth Liquid Matter Conference (Wien)  2011/09
• Geometric problems in soft matter  [Invited]

  Tomonari Dotera

  Seminar, Department of Physics, Sejong University （世宗大学校, 韓国）  2011/06
• Structural Transition of Dodecagonal Quasicrystals: Defect-mediated approach  [Not invited]

  Tomonari Dotera; Yuya Nakanishi

  The 6th Asian International Workshop on Quasicrystal (AIWQ6)(Seoul National Univ., Korea ソウル大学校，韓国)  2011/05
• Dodecatic phase: quasicrystal formation in hardcore-softshell particles  [Invited]

  Tomonari Dotera; Tatsuya Oshiro

  The 6th Asian International Workshop on Quasicrystal (AIWQ6)(Seoul National Univ., Korea ソウル大学校，韓国)  2011/05
• 3c22ハードコア-ソフトシェル粒子系の準結晶形成シミュレーション  [Not invited]

  堂寺知成; 大城辰也

  高分子学会年次大会（大阪国際会議場）  2011/05
• Hard Disks on the Gyroid surface  [Invited]

  Tomonari Dotera

  The second Korea-Sweden Symposium on (periodic) minimal surfaces, water-amphiphilic and related (silica) mesoporous materials (KAIST, Korea Advanced Institute of Science and Technology 韓国)  2011/04
• 27pEG-3 Quasicrystal formation of hardcore-softshell disks  [Not invited]

  Oshiro T; Dotera T

  Meeting abstracts of the Physical Society of Japan  2011/03
• ハードコア-ソフトシェル粒子系の準結晶形成  [Not invited]

  大城辰也; 堂寺知成

  ハードコア-ソフトシェル粒子系の準結晶形成  2010/12
• ABC線状高分子の５角形を含む新規ミクロ相分離構造  [Not invited]

  木元将清; 堂寺知成

  準結晶研究会（蔵王）  2010/12
• P-3ABC 線状高分子の新規ミクロ相分離構造の モンテカルロシミュレーション  [Not invited]

  木元将清; 堂寺知成

  高分子計算科学研究会・高分子ナノテクノロジー 研究会合同討論会（東京大学山上会館）  2010/12
• 24pTB-4 Hyperbolic Tiling on the Gyroid Membrane in ABC Star Block Copolymers  [Not invited]

  Hayashida K; Dotera T; Matsuzawa J; Takano A; Matsushita Y

  Meeting abstracts of the Physical Society of Japan  2010/09
• Hyperbolic Tiling on the Gyroid Surface in ABC Star Polymers  [Not invited]

  K. Hayashida; T. Dotera; J. Matsuzawa; A. Takano; Y. Matsushita

  International Soft Matter Conference 2010 (Granada, Spain)  2010/07
• Hyperbolic Tiling on the Gyroid Surface in a Polymeric Alloy  [Not invited]

  Tomonari Dotera; Junichi Matsuzawa

  Mathematics of Quasi-Periodic Order (RIMS, Kyoto University, Kyoto, Japan)  2010/06
• STRUCTURAL TRANSITION OF DODECAGONAL QUASICRYSTALS AND APPROXIMANTS  [Invited]

  Tomonari Dotera

  11th International Conference on Quasicrystals (ICQ11, Sapporo, Japan)  2010/06
• 多元高分子配列ナノ空間物質の構造設計と物性理論  [Not invited]

  堂寺知成

  第3回特定領域会議（東大）  2010/01
• 多元高分子系の作る秩序構造 -ラビリンス、準結晶タイリング、ダイヤモンド-  [Invited]

  堂寺知成

  東北大多元研特別講演会  2009/12
• ドデカゴナル準結晶タイリングの構造転移  [Not invited]

  堂寺知成

  準結晶研究会（蔵王）  2009/12
• 25pYB-4 Structural transition of dodecagonal quasicrystalline tiling  [Not invited]

  Dotera Tomonari

  Meeting abstracts of the Physical Society of Japan  2009/09
• Geometric problems in multi-component polymer systems  [Invited]

  Tomonari Dotera

  招待講演 奈良女子大学大学院GP特別講演会  2009/06
• X20.00010Quasicrystalline long-range order in an ABC star block copolymer  [Not invited]

  Tomonari Dotera

  APS March Meeting (Pittsburgh, PA)  2009/03
• ABC星型高分子の作る準結晶  [Not invited]

  堂寺知成

  高分子基礎研究会（国民年金健康センター上越）  2009/01
• 多元高分子配列ナノ空間物質の構造設計と物性理論  [Not invited]

  堂寺知成

  第3回特定領域会議（東工大）  2009/01
• 高分子計算機科学・高分子ナノテクノロジー研究会・合同討論会（東工大）  [Not invited]

  七野雅史; 堂寺知成

  高分子メゾスコピックジンクブレンド構造のフォトニックバンド計算  2008/12
• ABC星型高分子のミクロ相分離-アルキメデスタイリング，準結晶，ダイヤモンド-（東工大）  [Invited]

  堂寺知成

  東工大有機高分子物質特別セミナー  2008/11
• 高分子準結晶とその応用  [Invited]

  堂寺知成

  中化連の特別討論会「究極の構造・物性・機能を創出する高分子化学」  2008/11
• 2J12ABC星型共重合体により形成される配列ナノ空間の光物性  [Not invited]

  堂寺知成; 上田和成

  高分子討論会（大阪市立大学 杉本キャンパス）  2008/09
• 1Pd066高分子メゾスコピックジンクブレンド構造のフォトニックバンド計算  [Not invited]

  七野雅史; 堂寺知成

  高分子討論会（大阪市立大学 杉本キャンパス）  2008/09
• 20世紀後半の大発見・準結晶とは何か？ －フィボナッチ数、黄金比、ペンローズタイルの不思議-  [Invited]

  堂寺知成

  三省堂サイエンスカフェin京都  2008/09
• Mesoscopic quasicrystalline and Archimedean tilings in polymer alloys  [Invited]

  Tomonari Dotera

  IUCr2008 (Aug. 23-31, Osaka)  2008/08
• Quasicrystalline and Archimedean Phases in Polymeric Alloys  [Not invited]

  Tomonari Dotera

  Seminar, the Department of Physical, Inorganic and Structural Chemistry at Stockholm University  2008/07
• Quasicrystalline and Archimedean Phases in Polymeric Alloys  [Invited]

  Tomonari Dotera

  10th International Conference on Quasicrystals (ICQ10, July 6 - 11, Zurich, Switzerland)  2008/07
• Mean-Field Theory of Archimedean and Quasicrystalline Tilings  [Not invited]

  Tomonari Dotera

  10th International Conference on Quasicrystals (ICQ10, July 6 - 11, Zurich, Switzerland)  2008/07
• 多元高分子配列ナノ空間物質の構造設計と物性理論  [Not invited]

  堂寺知成

  特定領域研究「配列ナノ空間を利用した新物質科学 ユビキタス元素戦略」 第２回領域会議（大阪大学）  2008/06
• 24pWA-3 Landau Theory of Archimedean and Dodecagonal Phases in Star Polymers  [Invited]

  Dotera Tomonari

  Meeting abstracts of the Physical Society of Japan  2008/03
• ミクロ世界のラビリンス、タイリング、準結晶  [Invited]

  堂寺知成

  数学・物理学・情報科学の研究交流シンポジウム（奈良女子大学）  2007/12
• Mean-Field Theory of Archimedean, Quasicrystalline and Diamond Structures in ABC Star Polymers  [Not invited]

  T.Dotera・R. Kodama

  The 10th Pacific Polymer Conference (Kobe, Japan)  2007/12
• 高分子がつくるアルキメデスタイリングと準結晶  [Not invited]

  堂寺知成

  準周期構造のスペクトル解析と関連する話題（京大数理解析研究所）  2007/11
• 1M19 ABC星型共重合体により形成される3次元ネットワークナノ相分離構造  [Invited]

  堂寺知成

  高分子学会高分子討論会  2007/09
• 1M18 ABC星型共重合体により形成される2次元タイリングナノ相分離構造  [Invited]

  林田研一; 高野敦志; 堂寺知成; 松下裕秀

  高分子学会高分子討論会  2007/09
• 1M17 ABC星型共重合体により形成されるナノ相分離構造-計算科学  [Invited]

  堂寺知成; 上田和成; 源馬徹

  高分子学会高分子討論会  2007/09
• 23pXQ-4 Polymeric Quasicrystal : Mesoscopic Quasicrystalline Tiling in ABC Star Polymers  [Invited]

  Dotera Tomonari

  Meeting abstracts of the Physical Society of Japan  2007/08
• 高分子がつくるアルキメデスタイリングと準結晶  [Invited]

  堂寺知成

  エンレイソウの会 北大21世紀COEプログラム「トポロジー理工学の創成」  2007/01
• Photonic Band Structure of Archimedean Tilings and a Dodecagonal Quasicrystal  [Not invited]

  K.Ueda・T.Dotera

  Aperiodic'06 (Zao, Miyagi, Japan)  2006/09 

  Kazunari UEDA, Student Award
• A Dodecagonal Quasicrystal and Archimedean Tilings in a Polymeric Alloy  [Invited]

  Tomonari Dotera

  Aperiodic'06 (Zao, Miyagi, Japan)  2006/09
• 高分子がつくるアルキメデスタイリング  [Not invited]

  堂寺 知成

  日本物理学会誌  2006/08 

  （概 要）ABC星型ブロック共重合体のミクロ相分離という自己組織化現象によってできる２次元アルキメデスタイリング構造を紹介した。その1つは複雑な合金相として知られるFrank-Kasper相（σ相）と類似な構造で、12回対称準結晶の近似結晶になっている。 同誌表紙
• Archimedean Tiling Phases from ABC Starpolymers: The Road to Polymeric Quasicrystals  [Invited]

  Tomonari Dotera

  Structures and Dynamics in Soft Matter-Beyond Self-Organization and Hierarchical Structures-  2006/07
• 1Pf071 ABC星型ブロック共重合体による準結晶構造  [Not invited]

  堂寺知成; 上田和成

  高分子学会年次大会  2006/05
• 1Pb130 ABC星型ブロック共重合体によるフォトニック結晶とフォトニック準結晶  [Not invited]

  堂寺知成

  高分子学会年次大会  2006/05
• 28pXE-2 Simulation of a Dodecagonal Polymeric Quasicrystal II  [Not invited]

  Dotera Tomonari; Ueda Kazunari

  Meeting abstracts of the Physical Society of Japan  2006/03
• 30aTC-8 Photonic band calculation of microphase separated patterns of star polymers II  [Not invited]

  Ueda Kazunari; Dotera Tomonari

  Meeting abstracts of the Physical Society of Japan  2006/03
• Self-Organized Phason Dynamics in a Polymeric Quasicrystal  [Not invited]

  Tomonari Dotera

  International Symposium on Physics of Non-Equilibrium Systems(YITP)  2005/10
• 2. Polymeric Quasicrystals : Dodecagonal quasicrystal in ABC star block copolymers(poster presentation,Soft Matter as Structured Materials)  [Not invited]

  Tomonari Dotera; Dept. of Polymer Chemistry Kyoto Univ

  物性研究  2005/09 

  ABC星型ブロック共重合体の格子高分子モデルのモンテカルロ・シミュレーションによって,12回対称準結晶(近似結晶)の形成に成功した。以下の特徴が観察された。(1)フーリエ変換(構造関数)はほぼ12回対称性を示す。(2)Stampfli変換による自己相似性が観察される。(3)ランダムに形態変化や合体分離を繰り返しながらもグローバルな12回対称性は保存する。(4)(3)はタイリングの入れ替えに対応する準結晶特有のフェイブン.ダイナミクスとみなせる。(5)よく知られた12回対称性正三角形-正方形タイリングよりもランダウ理論から導かれる密度彼の構造と一致する。最近,合金のFrank-Kasper相(σ相)に関連した80nmの辺の長さを待つ正三角形,正方形からなる3^2434アルキメデスタイリング構造が実験的に発見されているが,この構造は常に準結晶相に隣接して現れる構造である。このことと合わせ,高分子準結晶の発見が期待される。
• 3Pd062 ABC星型ブロック共重合体ミクロ相分離パターンのフォトニックバンド計算  [Not invited]

  上田和成; 堂寺知成

  高分子学会高分子討論会  2005/09
• 122 ABC星型共重合体のミクロ相分離構造によるフォトニック結晶創成  [Not invited]

  堂寺知成; 上田和成; 源馬徹

  第49回日本学術会議材料研究連合講演会  2005/09
• 3N02 ABC星型共重合体の精密合成とその三次元モルホロジー  [Invited]

  林田研一; 川島渉; 荒井重勇; 高野敦志; 田中信夫; 松下裕秀; 堂寺知成

  高分子学会高分子討論会  2005/09
• 20pYK-3 Simulation of a Dodecagonal Polymeric Quasicrystal  [Not invited]

  Dotera Tomonari; Ueda Kazunari; Gemma Tohru

  Meeting abstracts of the Physical Society of Japan  2005/08
• 22aXJ-1 2D quasicrystalline structure in ABC star terpolymer melts  [Not invited]

  Dotera Tomonari; Ueda Kazunari; Gemma Tohru

  Meeting abstracts of the Physical Society of Japan  2005/08
• 21pXB-11 Photonic band calculation of microphase separated patterns of starpolymers  [Not invited]

  Ueda Kazunari; Dotera Tomonari

  Meeting abstracts of the Physical Society of Japan  2005/08
• Polymeric Quasicrystals Tomonari Dotera  [Not invited]

  Tomonari Dotera

  YITP Workshop "Soft Matter as Structured Materials"  2005/08
• Novel Structures in ABC 3-miktoarm Star Terpolymer Melts  [Not invited]

  T.Dotera; T.Gemma

  The 8th SPSJ International Polymer Conference (IPC 2005)  2005/07
• 1D13 ABC星型ブロック共重合体によるミクロ相分離構造のシミュレーション-３次元ネットワーク構造  [Not invited]

  堂寺知成; 源馬徹

  高分子学会年次大会（大阪国際会議場）  2005/05
• ABC星型ブロック共重合体によるミクロ相分離構造のシミュレーション-2次元シリンダー構造  [Not invited]

  源馬徹; 堂寺知成

  高分子学会年次大会（大阪国際会議場）  2005/05
• Dodecagonal Quasicrystal in a Polymeric Alloy  [Not invited]

  T.Dotera; T.Gemma

  9th International Conference on Quasicrystals (Ames, USA)  2005/05
• Can polymer alloys be complex as metallic alloys?  [Not invited]

  Tomonari Dotera

  The 3rd KIPS-NIST Symposium (Kyoto)  2005/05
• [N29.00014]A Mesoscopic Archimedean Tiling Having a New Complexity in ABC Star-shaped Block Terpolymers  [Not invited]

  T.Dotera; A.Takano; N.Tanaka; Y.Matsushita

  American Physical Society Meeting (LA, USA)  2005/03
• 2M14 メゾスコピック・ダイヤモンド構造のシミュレーション  [Invited]

  堂寺知成; 源馬徹

  高分子学会高分子討論会  2004/09
• Simulations of Gaussian and Excluded-volume Chains in Curved Slits  [Not invited]

  Y.Y.Suzuki; T.Dotera; M. Hirabayashi

  Slow Dynamics in Complex Systems(Sendai)  2003/11
• Voronoi Space Division of a Polymer  [Not invited]

  N.Tokita; M.Hirabayashi; C.Azuma・T. Dotera

  Slow Dynamics in Complex Systems(Sendai)  2003/11
• Monte Carlo Simulation of Block Copolymers: Design and Discovery  [Not invited]

  Tomonari Dotera

  IUPAP Polymer Conference(Kyoto)  2002/12
• Curvature Effect of a Confined Polymer  [Not invited]

  Tomonari Dotera

  Polymers in Confined Geometry (Mainz, Germany)  2002/09
• IIIPb058 ABC/A/Cトリブロック共重合体ブレンド系の立方相のモンテカルロシミュレーション  [Not invited]

  堂寺知成

  高分子学会年次大会（大阪国際会議場）  2002/05
• [L10.004]Monte Carlo Lattice Simulations of Cubic Phases in ABC/A/C Copolymer and Homopolymer Blends  [Not invited]

  Tomonari Dotera

  American Physical Society March Meeting (Indianapolis, USA)  2002/03
• 24pYC-11 Dynamics of a long DNA chain duriong electrophoresis in a manofabeiacted channel  [Not invited]

  Ueda M; Hayama T; Takawura Y; Horiike Y; Dotera T; Baba Y

  Meeting abstracts of the Physical Society of Japan  2002/03
• 26pYC-8 Monte Cazlo Simulations of Cubic Phases in ABC/A/C BIock Copolymer and Homopolymer Blends II  [Not invited]

  DOTERA Tomonari

  Meeting abstracts of the Physical Society of Japan  2002/03
• Simulation of polymers strongly confined in curved boxes  [Not invited]

  Suzuki Y. Y; Dotera T

  Meeting abstracts of the Physical Society of Japan  2001/09
• Curvature Effect of a Confined Polymer  [Not invited]

  DOTERA Tomonari

  Meeting abstracts of the Physical Society of Japan  2001/09
• Dynamics of a long DNAchain confined in micro-and nanochannels  [Not invited]

  Ueda Masanori; Baba Yoshinobu; Totera Tomonari; Takamura Yuzuru; Horiike Yasuhiro

  Meeting abstracts of the Physical Society of Japan  2001/09
• Polymer Confinement in Undulated Membrane Boxes  [Not invited]

  Tomonari Dotera

  Intl. Conf. From Biomembranes to Cationic Liposomes; (Espoo, Finland)  2001/08
• The Origitl of Entropy Reduction of Polymer Confinement  [Not invited]

  DOTERA Tomonari

  Meeting abstracts of the Physical Society of Japan  2001/03
• Simulation of polymers in curved boxes 3  [Not invited]

  Suzuki Y. Y; Dotera T; Hirabayashi M

  Meeting abstracts of the Physical Society of Japan  2001/03
• Molecular Dynamics Simulations of Polymer Having side Chains II  [Not invited]

  Tokita Nakako; Hirabayashi Megumi; Dotera Tomonari; Azuma Chiaki

  Meeting abstracts of the Physical Society of Japan  2001/03
• Polymer confinement in undulated membrane boxes and tubes  [Not invited]

  Dotera Tomonari; Suzuki Yasuo Y

  Meeting abstracts of the Physical Society of Japan  2000/09
• I F10 Polymer confinement in curved or undulated boxes and tubes  [Not invited]

  Tomonari Dotera

  高分子学会高分子討論会  2000/09
• New Morphologies in Multiblock Copolymer Melts II  [Not invited]

  Tomonari Dotera

  Gordon Research Conferences: Polymer Physics （New London, USA）  2000/07
• New Morphologies in Multiblock Copolymer Melts  [Not invited]

  Tomonari Dotera

  Gordon Research Conferences: Polymers (East) （New London, USA）  2000/06
• Molecular Dynamics Simulations of Polymer Having Side Chains  [Not invited]

  Tokita Nakako; Hirabayashi Megumi; Dotera Tomonari; Azuma Chiaki

  Meeting abstracts of the Physical Society of Japan  2000/03
• 27aP-6 Simulations of Complex Phases Having Negative Gaussian Curvatures in Block Copolymer Systems  [Not invited]

  DOTERA Tomonaei

  Meeting abstracts of the Physical Society of Japan  1999/09
• II N10 対角線法シミュレーションによる構造予測  [Invited]

  堂寺知成; 波田野彰; 源馬徹

  高分子学会高分子討論会  1999/09
• Simulations of Complex Phases in Multiblock Copolymer Melts  [Not invited]

  Tomonari Dotera

  Interface and Colloidal Systems (Aghia Pelaghia , Greece)  1999/09
• 29p-XC-11 Simulation of polymers in curved boxes 2  [Not invited]

  Suzuki Y.Y; Dotera T; Hirabayashi M

  Meeting abstracts of the Physical Society of Japan  1999/03
• 29a-XG-8 Simulations of ABC Star Block Copolymer Melts  [Not invited]

  Gemma T; Hatano A; Dotera T

  Meeting abstracts of the Physical Society of Japan  1999/03
• Simulations of ABC Linear Block Copolymer Melts  [Not invited]

  DOTERA Tomonari; HATANO Akira

  Meeting abstracts of the Physical Society of Japan  1998/09
• Simulations of ABCD Star Block Copolymer Melts  [Not invited]

  DOTERA Tomonari

  Meeting abstracts of the Physical Society of Japan  1998/09
• III F15 多元ブロック共重合体の計算機シミュレーションの示す複雑相  [Invited]

  堂寺知成; 波田野彰

  高分子学会 高分子討論会  1998/09
• 7p-YL-8 Simulation of polymers in curved boxes  [Not invited]

  Suzuki Yasuo Y; Dotera Tomonari

  Meeting abstracts of the Physical Society of Japan  1997/09
• 2G08 対角線ボンド法によるブロック共重合体高分子集合系のシミュレーション  [Invited]

  堂寺知成; 波田野彰

  高分子学会高分子討論会  1997/09
• Can Quasicrystals Flow?  [Not invited]

  Tomonari Dotera

  6th. Intl. Conference on Quasicrystals（Tokyo）  1997/05
• Formation of Multi-continuous Structures in Block Copolymer Melts  [Not invited]

  T.Dotera・A.Hatano

  Intl. Symposium on Colloids and Polymer Science, - Formation and Dynamics of Self-Organized Structures in Surfactant and Polymer Solutions - (Nagoya)  1996/10
• 3aG-12 Simulation Studies of Quasiperiodic Tilings  [Not invited]

  Dotera Tomonari

  Abstracts of the meeting of the Physical Society of Japan. Sectional meeting  1996/09
• The Diagonal Bond Method: A New Simulation Method of Block Copolymers  [Not invited]

  Tomonari Dotera

  3rd Liquid Matter Conference (Norwich , UK)  1996/07
• 2p-H-11 The Diagonal Bond Method : A New Lattice Polymer Model for Simulation Study of Block Copolymers  [Not invited]

  Dotera Tomonari

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting  1996/03
• Collective Atomic Flows in Random Tiling Quasi-crystals  [Not invited]

  Tomonari Dotera

  5th. Intl. Conference. on Quasicrystals (Avignon, France)  1995/05
• Monte Carlo Simulation of Block Copolymers - Self-Avoiding Chains with Crossings -  [Not invited]

  T.Dotera・A.Hatano

  5th SPSJ Intl. Polymer Conference （Osaka）  1994/11
• 28a-WA-11 Simulation Studies on Two-dimensional Block Copolymers  [Not invited]

  Dotera Tomonari; Hatano Akira

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting  1994/03
• Computer studies of a phase transition of icosahedral quasicrystals  [Not invited]

  Tomonari Dotera

  8th Intl. Conference on Rapid Quench and Metastable Materials (Sendai)  1993/10
• Phason Elasticity and Ising Models  [Not invited]

  Tomonari Dotera

  Intl. Symposium on Quasicrystals and Imperfectly Ordered Crystals (Chengde)  1993/08
• 31p-X-12 A Phase Transition of Icosahedral Quasicrystals  [Not invited]

  Dotera T; Steinhardt P.J

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting  1993/03
• 27a-T-6 Phase Transitions of Penrose Tilings  [Not invited]

  DOTERA Tomonari; STEINHARDT P.J; JEONG H.C

  秋の分科会講演予稿集  1992/09
• Properties of Decapod Defects  [Not invited]

  T.Dotera; H-C.Jeong; P.J.Steinhardt

  Methods of structural analysis of modulated structures and quasicrystals（Bilbao, Spain）  1991/04
• 4p-Q-5 Critical Compressibility Factor in the Two-Demensional lattice gas Modeles  [Not invited]

  ABE Ryuzo; DOTERA Tomonari; OGAWA Takesi

  秋の分科会講演予稿集  1990/10
• 4a-J-6 The trace maps of the Fibonacci model  [Not invited]

  Suzuki Toshi-kazu; Dotera Tomonari

  秋の分科会講演予稿集  1990/09
• Propeties of Transfer Matrices obtained from a Fibonacci Lattice  [Not invited]

  Dotera Tomonari; Suzuki Toshikazu

  年会講演予稿集  1990/03
• Self-Similar Polynomials obtained from a Fibonacci Lattice  [Not invited]

  Tomonari Dotera

  1st. China-Japan Seminars on Quasicrystals(Tokyo)  1989/10
• 5a-N-4 High Temperature Expansion for the Ising Model on the Penrose Lattice.  [Not invited]

  ABE Ryuzo; DOTERA Tomonari

  秋の分科会講演予稿集  1989/09
• 5a-N-3 Self-similar polynomials obtained from a one-dimensional quasicrystal.  [Not invited]

  Dotera Tomonari

  秋の分科会講演予稿集  1989/09
• 5p-E4-8 二次元準結晶・原子構造のコンピューター・シミュレーション  [Not invited]

  堂寺 知成; 熊岸 正夫

  秋の分科会講演予稿集  1988/09
• 27p-JE-5 一次元準結晶の電子状態(統計力学・物性基礎論)  [Not invited]

  堂寺 知成

  年会講演予稿集  1987/03
• 1a-CM-9 近距離二十面体秩序を持つペンローズ格子模型(金属)  [Not invited]

  堂寺 知成

  年会講演予稿集  1986/03

MISC

• 青銅比準結晶？ – 黄金比でない準結晶を分子シミュレーションで生成

  堂寺知成  Academist Journal  2017/11  [Invited]
  
• 30aPS-127 ハードコア-ソフトショルダー粒子系の二次元準結晶 : 頂点統計(30aPS 領域12ポスターセッション,領域12(ソフトマター物理・化学物理・生物物理))

  別宮 進一; 堂寺 知成  日本物理学会講演概要集  69-  (1)  429  -429  2014/03
• 29pCB-8 Wrapping up : Complex Order-Transdisiplinary Approach with Various Materials Fields-

  Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  69-  (1)  808  -808  2014/03
• 27pXC-4 Confined Polymers

  Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  68-  (1)  435  -435  2013/03
• 27pXC-4 Confined Polymers

  Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  68-  (1)  934  -934  2013/03
• 20aAK-10 2D Quasicrystal formation of hardcore-soft shoulder particles

  Dotera T.; Oshiro T.; Ziherl Primoz  Meeting abstracts of the Physical Society of Japan  67-  (2)  336  -336  2012/08
• News and Comments: Quest for the Gyroid Labyrinth: Geometry and Topology in Soft Matter

  堂寺 知成  JPSJ Online―News and Comments [August 17, 2012]  2012/08  [Invited]
  
• 25aBF-7 Phase Transition of Hard Spheres on the Gyroid Surface

  Dotera T.; Kimoto M.; Matsuzawa J.  Meeting abstracts of the Physical Society of Japan  67-  (1)  407  -407  2012/03
• 26pBH-5 Physics of Quasicrystals : Theoretical Aspect

  Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  67-  (1)  853  -853  2012/03
• 27pEG-3 Quasicrystal formation of hardcore-softshell disks

  Oshiro T.; Dotera T.  Meeting abstracts of the Physical Society of Japan  66-  (1)  834  -834  2011/03
• 24pTB-4 Hyperbolic Tiling on the Gyroid Membrane in ABC Star Block Copolymers

  Hayashida K.; Dotera T.; Matsuzawa J.; Takano A.; Matsushita Y.  Meeting abstracts of the Physical Society of Japan  65-  (2)  322  -322  2010/08
• 25pYB-4 Structural transition of dodecagonal quasicrystalline tiling

  Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  64-  (2)  694  -694  2009/08
• POLY 564-Mesoscopic quasicrystal in a three-arm polymeric star

  Ken-ichi Hayashida; Tomonari Dotera; Atsushi Takano; Yushu Matsushita  ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY  235-  2008/04
• 24pWA-3 Landau Theory of Archimedean and Dodecagonal Phases in Star Polymers

  Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  63-  (1)  772  -772  2008/02
• 23pXQ-4 Polymeric Quasicrystal : Mesoscopic Quasicrystalline Tiling in ABC Star Polymers

  Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  62-  (2)  831  -831  2007/08
• 28pXE-2 Simulation of a Dodecagonal Polymeric Quasicrystal II

  Dotera Tomonari; Ueda Kazunari  Meeting abstracts of the Physical Society of Japan  61-  (1)  776  -776  2006/03
• 30aTC-8 Photonic band calculation of microphase separated patterns of star polymers II

  Ueda Kazunari; Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  61-  (1)  766  -766  2006/03
• 30aTC-8 Photonic band calculation of microphase separated patterns of star polymers II

  Ueda Kazunari; Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  61-  (1)  184  -184  2006/03
• 21pXB-11 Photonic band calculation of microphase separated patterns of starpolymers

  Ueda Kazunari; Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  60-  (2)  81  -81  2005/08
• 22aXJ-1 2D quasicrystalline structure in ABC star terpolymer melts

  Dotera Tomonari; Ueda Kazunari; Gemma Tohru  Meeting abstracts of the Physical Society of Japan  60-  (2)  248  -248  2005/08
• 20pYK-3 Simulation of a Dodecagonal Polymeric Quasicrystal

  Dotera Tomonari; Ueda Kazunari; Gemma Tohru  Meeting abstracts of the Physical Society of Japan  60-  (2)  646  -646  2005/08
• 21pXB-11 Photonic band calculation of microphase separated patterns of star polymers

  Ueda Kazunari; Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  60-  (2)  614  -614  2005/08
• みみず鎖モデルの末端間距離の厳密解「海外ニュース」

  堂寺知成  高分子学会会誌「高分子」  54-  (7)  492  -492  2005/07  [Invited]
  
• 2. Polymeric Quasicrystals : Dodecagonal quasicrystal in ABC star block copolymers(poster presentation,Soft Matter as Structured Materials) :

  Dotera Tomonari  物性研究  84-  (6)  870  -871  2005
• 超分子デンドリマーがつくる液晶準結晶「海外ニュース」

  堂寺知成  高分子学会会誌「高分子」  53-  (11)  890  -890  2004/11  [Invited]
  
• Electrophoresis of long deoxyribonucleic acid (DNA) in curved channels: the effect of channel width in curved channel

  M. Ueda; T. Hayama; Y. Takamura; Y. Horiike; T. Dotera; Y. Baba  J. Appl. Phys.  in press  2004
• 26pYC-8 Monte Cazlo Simulations of Cubic Phases in ABC/A/C BIock Copolymer and Homopolymer Blends II

  DOTERA Tomonari  Meeting abstracts of the Physical Society of Japan  57-  (1)  328  -328  2002/03
• 24pYC-11 Dynamics of a long DNA chain duriong electrophoresis in a manofabeiacted channel

  Ueda M.; Hayama T.; Takawura Y.; Horiike Y.; Dotera T.; Baba Y.  Meeting Abstracts of the Physical Society of Japan  57-  (0)  313  -313  2002
• Curvature Effect of a Confined Polymer

  DOTERA Tomonari  Meeting abstracts of the Physical Society of Japan  56-  (2)  268  -268  2001/09
• Simulation of polymers strongly confined in curved boxes

  Suzuki Y. Y.; Dotera T.  Meeting abstracts of the Physical Society of Japan  56-  (2)  268  -268  2001/09
• The Origitl of Entropy Reduction of Polymer Confinement

  DOTERA Tomonari  Meeting abstracts of the Physical Society of Japan  56-  (1)  298  -298  2001/03
• Simulation of polymers in curved boxes 3

  Suzuki Y. Y.; Dotera T.; Hirabayashi M.  Meeting abstracts of the Physical Society of Japan  56-  (1)  298  -298  2001/03
• Molecular Dynamics Simulations of Polymer Having side Chains II

  Tokita Nakako; Hirabayashi Megumi; Dotera Tomonari; Azuma Chiaki  Meeting abstracts of the Physical Society of Japan  56-  (1)  296  -296  2001/03
• Dynamics of a long DNAchain confined in micro-and nanochannels

  Ueda Masanori; Baba Yoshinobu; Totera Tomonari; Takamura Yuzuru; Horiike Yasuhiro  Meeting Abstracts of the Physical Society of Japan  56-  (0)  268  -268  2001
• Polymer confinement in undulated membrane boxes and tubes

  Dotera Tomonari; Suzuki Yasuo Y.  Meeting abstracts of the Physical Society of Japan  55-  (2)  303  -303  2000/09
• Molecular Dynamics Simulations of Polymer Having Side Chains

  Tokita Nakako; Hirabayashi Megumi; Dotera Tomonari; Azuma Chiaki  Meeting abstracts of the Physical Society of Japan  55-  (1)  310  -310  2000/03
• 27aP-6 Simulations of Complex Phases Having Negative Gaussian Curvatures in Block Copolymer Systems

  DOTERA Tomonaei  Meeting abstracts of the Physical Society of Japan  54-  (2)  321  -321  1999/09
• 29p-XC-11 Simulation of polymers in curved boxes 2

  Suzuki Y.Y.; Dotera T.; Hirabayashi M.  Meeting abstracts of the Physical Society of Japan  54-  (1)  711  -711  1999/03
• 29a-XG-8 Simulations of ABC Star Block Copolymer Melts

  Gemma T.; Hatano A.; Dotera T.  Meeting abstracts of the Physical Society of Japan  54-  (1)  725  -725  1999/03
• Simulations of ABCD Star Block Copolymer Melts

  DOTERA Tomonari  Meeting abstracts of the Physical Society of Japan  53-  (2)  851  -851  1998/09
• 7p-YL-8 Simulation of polymers in curved boxes

  Suzuki Yasuo Y.; Dotera Tomonari  Meeting abstracts of the Physical Society of Japan  52-  (2)  797  -797  1997/09
• Simulation Studies of Quasiperiodic Tilings

  Dotera Tomonari  Abstracts of the meeting of the Physical Society of Japan. Sectional meeting  1996-  (3)  309  -309  1996/09
• 2p-H-11 The Diagonal Bond Method : A New Lattice Polymer Model for Simulation Study of Block Copolymers

  Dotera Tomonari  Abstracts of the meeting of the Physical Society of Japan. Annual meeting  51-  (3)  737  -737  1996/03
• 28a-WA-11 Simulation Studies on Two-dimensional Block Copolymers

  Dotera Tomonari; Hatano Akira  Abstracts of the meeting of the Physical Society of Japan. Annual meeting  49-  (3)  596  -596  1994/03
• 31p-X-12 A Phase Transition of Icosahedral Quasicrystals

  Dotera T.; Steinhardt P.J.  Abstracts of the meeting of the Physical Society of Japan. Annual meeting  48-  (3)  225  -225  1993/03
• 27a-T-6 Phase Transitions of Penrose Tilings

  DOTERA Tomonari; STEINHARDT P.J; JEONG H.C  秋の分科会講演予稿集  1992-  (3)  228  -228  1992/09
• 4p-Q-5 Critical Compressibility Factor in the Two-Demensional lattice gas Modeles

  ABE Ryuzo; DOTERA Tomonari; OGAWA Takesi  秋の分科会講演予稿集  1990-  (3)  477  -477  1990/10
• 4a-J-6 The trace maps of the Fibonacci model

  Suzuki Toshi-kazu; Dotera Tomonari  秋の分科会講演予稿集  1990-  (4)  86  -86  1990/09
• Propeties of Transfer Matrices obtained from a Fibonacci Lattice

  Dotera Tomonari; Suzuki Toshikazu  年会講演予稿集  45-  (3)  139  -139  1990/03
• 5a-N-4 High Temperature Expansion for the Ising Model on the Penrose Lattice.

  ABE Ryuzo; DOTERA Tomonari  秋の分科会講演予稿集  1989-  (3)  171  -171  1989/09
• 5a-N-3 Self-similar polynomials obtained from a one-dimensional quasicrystal.

  Dotera Tomonari  秋の分科会講演予稿集  1989-  (3)  171  -171  1989/09
• 5p-E4-8 二次元準結晶・原子構造のコンピューター・シミュレーション

  堂寺 知成; 熊岸 正夫  秋の分科会講演予稿集  1988-  (3)  181  -181  1988/09
• 27p-JE-5 一次元準結晶の電子状態(統計力学・物性基礎論)

  堂寺 知成  年会講演予稿集  42-  (3)  303  -303  1987/03
• 1a-CM-9 近距離二十面体秩序を持つペンローズ格子模型(金属)

  堂寺 知成  年会講演予稿集  41-  (3)  199  -199  1986/03

Awards & Honors

• 2007 Journal of Polymer Science Part B: Polymer Physics Prize for 2007
   

  受賞者: Tomonari Dotera

Research Grants & Projects

• Advanced study of softmatter quasicrystals and quasiperiodic tiling theory

  JSPS：Grant-in-Aid for Scientific Research (C)

  Date (from‐to) : 2019/04 -2022/03 

  Author : Tomonari Dotera
• Design of quasicrystals and skyrmions in soft matter - The discovery of innovative m aterials structures -

  JSPS：Joint Research Projects under the Bilateral Programs between Japan and Slovenia

  Date (from‐to) : 2019/04 -2021/03 

  Author : Tomonari Dotera
• Design of soft matter quasicrystals and complex crystals - establishing soft matter crystallography

  JSPS：Grant-in-Aid for Scientific Research (B)

  Date (from‐to) : 2016/04 -2019/03 

  Author : Tomonari Dotera
• 結晶の対称性と極小曲面に関する研究

  JSPS：Grant-in-Aid for Scientific Research (C) Sub

  Date (from‐to) : 2013/04 -2018/03 

  Author : Junichi Matsuzawa
• Theoretical Studies on the Structures and the Physical Properties of Triply Periodic Minimal Surfaces

  JSPS：Grant-in-Aid for Scientific Research (C)

  Date (from‐to) : 2013/04 -2016/03 

  Author : Tomonari Dotera

   

  On a flat surface the hexagonal arrangement is a ubiquitous regular arrangement arising from dense packing, space division, or interactions between particles. What is regular arrangement when a surface is curved? On a sphere, this question was firstly raised by J. J. Thomson for electrons constituting atoms, Goldberg elucidated regular polyhedra, and for biological icosahedral viruses Caspar and Klug found a construction principle of regular arrangements on a sphere. In contrast, regular arrangements of particles on saddle-shaped periodic surfaces with negative curvatures have not been pursued. In this project, we have shown numerous regular arrangements of spheres on the Schwarz P- and D-surfaces obtained through the Alder transition, where magic numbers have been obtained in analogy with icosahedral viruses. These unprecedented arrangements are analyzed in terms of space groups, and polygonal & hyperbolic tilings.
• Soft quasicrystals - Theoretical studies on the universality and new physical properties of quasicrystals

  JSPS：Grant-in-Aid for Scientific Research (C)

  Date (from‐to) : 2010/04 -2013/03 

  Author : Tomonari Dotera

   

  Alder's discovery in 1957 that attractive interactions are notnecessary for the formation of crystals caused a great sensation at that time. Thisstudy showed that several (10-fold, 12-fold and 18-fold) quasicrystals were obtainedfrom the simple hard-core / soft-shell model made of hard-core plus square-shoulder potential. This result implies that the formation of quasicrystals does not depend onscales nor materials, rather they obeys a generic principle, therefore this study madegreat progress in the study of quasicrystals and material sciences.
• 多元高分子配列ナノ空間物質の構造設計と物性理論

  JSPS：科学研究費 特定領域研究

  Date (from‐to) : 2008/04 -2010/03 

  Author : Tomonari Dotera

   

  研究題目「多元高分子配列ナノ空間物質の構造設計と物性理論」の研究目的は、多元高分子による全く新しい配列ナノ空間構造を設計構築すること、およびその新規物性の理論研究を行うことであった。特にコロイド結晶では作成できない充填密度が低いダイヤモンド構造創製の成果を世界に発信し、物性発現として未来のデバイス、フォトニック結晶への応用可能性を研究することであった。 平成21年度は、新しく発見した階層シャイロイド構造の構造解析を進め、実施計画に基づき研究成果の公表準備をした。また、フォトニックバンド計算の精度を高めるべくコンパクト差分法を導入したFDTD法の開発を進めた。この研究には数値計算の専門家に援助を受け、共同研究に発展しつつある。方法論としての有効性を検証しているところである。次に、高分子の作るシングルジャイロイド構造の螺旋軸に注目し、コレステリック液晶あるいは甲虫などに見られる左右螺旋偏光の反射率が異なるという現象が、多元高分子配列ナノ空間物質でも生ずるという仮説を立て、数値実験で確かめた。この研究は継続する予定である。 まとめると当該研究期間で、多元高分子による全く新しい配列ナノ空間構造を設計し、自己組織化を用いて2つの新規な構造(巨大ジンクブレンド構造、階層ジャイロイド構造)を構築することに成功した。これらの研究は物質科学、物理および高分子化学の進展に貢献し、学術的にも意義の高いもので、結晶学、数学への関連も重要だと考えている。また理論的には多元高分子のフォトニック結晶への応用可能性を広げた点、これまで議論されなかった偏光実験を提案するなど新しい物性発現の予言を行った点で当初の目標を達成したと言える。
• The Discovery of Polymeric Quasicrystals : Theoretical Study of Structures and Physical Properties of Novel Quasicrystalline Materials

  JSPS：Grant-in-Aid for Scientific Research (C)

  Date (from‐to) : 2007/04 -2010/03 

  Author : Tomonari Dotera

   

  The discovery of quasicrystals that have non-crystallographic rotational symmetry is one of great milestones in physics and material sciences in the late 20th-century. However, quasicrystalline structures had not been observed in any polymeric systems. In this research project the author showed evidence of a "polymeric quasicrystal" tiling for the first time, and studied polymeric quasicrystals theoretically. The present results elucidated the universal nature of quasicrystalline order from metals (hard matter) to polymers (soft matter). The work attracted much attention from both physics and chemistry fields.
• 準結晶の塑性変形-転位を含む構造転移のシミュレーション

  JSPS：科学研究費 奨励研究(A)

  Date (from‐to) : 1994/04 -1995/03 

  Author : 堂寺知成

   

  1 金属学の常識として、大変形には転位の介在が必要とされる。しかし、本研究の過程において、転位に関わりなく、準結晶特有のフェイゾン欠陥のふるまいそのものが、大変形に本質的役割を果たしうることを発見した。従って、研究の焦点を、準結晶中の転位から、フェイゾン欠陥のふるまいに軌道修正した。 2 過去にわれわれが示したように、準結晶は高温で、ランダムタイリングと呼ばれる準周期構造に転移しうる。この相では、フェイゾン欠陥が、熱的に激しく励起され、フェイゾンフリップにより、原子移動が起こる。最近、いくつかの実験的研究がフェイゾンフリップによる原子運動の存在を示唆している。また、理論的にこの原子移動によって、原子が準結晶中を自己拡散することが、国外の研究者によって示された。 3 我々は本研究に於いて、この原子移動は、自己拡散だけでなく、集団運動を引き起こしうることを主張した。すなわち、原子の流れと大規模変形が起こりうる。今まで、ランダムタイリングについては、フェイゾン空間での特徴が詳しく研究されてきたが、我々は新たに実空間での運動に注目し、集団原子運動という極めてランダムタイリングに特徴的な性質を指摘した。実際には、(補助金を受けた設備品を利用した)コンピューターシミュレーションによって、簡単なタイリングモデルで、その動きを観察した。 4 この研究成果の意味するところは、高温での塑性変形の由来を、単に転位だけと考えるのではなく、準周期構造の特徴的性質が関与しているという新たな視点をもたらすことである。研究結果は、第5回準結晶国際会議(フランス、1995年5月)で報告される。

Committee Membership

• 2013 -2019   JST   PRESTO " Hyper-nano-space design toward innovative functionality" Advisor
• 2008/04 -2009/03   Research Group on Computational Polymer Science   Vice Chair
• 2003/11 -2009/03   Research Group on Computational Polymer Science   Steering committee

Other link

researchmap

https://researchmap.jp/dotera