■Faculty | Department of Science / Graduate School of Science and Engineering Research |

■Position | Professor |

■Degree | |

■Commentator Guide | https://www.kindai.ac.jp/meikan/285-doutera-tomonari.html |

■URL | http://softmatter.phys.kindai.ac.jp/index.html |

Last Updated :2020/04/05

- 1979 04 - 1989 03 , University of Tokyo

- 2009 04 , - 現在, Professor, Department of Physics, Kindai University
- 2003 07 , - 2009 03 , Associate Professor, Department Polymer Chemistry, Kyoto University
- 1994 04 , - 2003 06 , Associate Professor, Saitama Study Center, Japanese Open University
- 1989 04 , - 1994 03 , Research Associate, Department of Pure and Applied Sciences, University of Tokyo
- 1990 09 , - 1992 02 , Postdoc, Department of Physics, University of Pennsylvania

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

- 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

- Metallic-mean quasicrystals as aperiodicapproximants of periodic crystals, J. Nakakura, P. Ziherl, J. Matsuzawa, T. Dotera, Nature Communications, Nature Communications, 10, 4235, Sep. 2019 , RefereedSummary: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, Communications Chemistry, 1, 92, Dec. 2018 , RefereedSummary: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.
- A geometric view of structure formation in soft colloids, Primoz Ziherl, Tomonari Dotera, Proceedings of the International School of Physics "Enrico Fermi" "Soft Matter Self-Assembly", Proceedings of the International School of Physics "Enrico Fermi" "Soft Matter Self-Assembly", 193, 307 - 329, 2016 , RefereedSummary:The phase sequence of many polymeric nanocolloidal particles of core-shell architecture is very different from that seen in classical hard colloids, and the differences must invariably be related to particle softness. Here we discuss the T = 0 phase diagram of 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 solids, and to illustrate how these structures can be systematically constructed and screened using a geometrical scheme based on canonical local packings of the particles.
- Softmatter Quasicrystals, 堂寺 知成, 固体物理, 固体物理, 48(7), 331 - 340, Jul. 2013 , Refereed
- Toward the discovery of new soft quasicrystals: From a numerical study viewpoint, Tomonari Dotera, J. Polym. Sci. Part B: Polym. Phys., J. Polym. Sci. Part B: Polym. Phys., 50, 155 - 167, Feb. 2012 , RefereedSummary: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.
- Hard Spheres on the Gyroid Surface, T. Dotera, M. Kimoto, J. Matsuzawa, Interface Focus, Interface Focus, 2, 575 - 581, 2012 , RefereedSummary:We find that 48/64 hard spheres per unit cell on the gyroid minimal surface are entropically self-organized. The 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 Poincar'e disk with a negative Gaussian curvature, one of which is equivalently, the arrangement of angels and devils in Escher's Circle Limit IV.
- Quasicrystals in Soft Matter, Israel Journal of Chemistry, Israel Journal of Chemistry, 51, 1197 - 1205, Dec. 2011 , RefereedSummary: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, J. Phys. Condens. Matter 23 284111 (12p), J. Phys. Condens. Matter 23 284111 (12p), 23, Jun. 2011 Summary: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.
- Hyperbolic Tiling on the Gyroid Surface in a Polymeric Alloy (Mathematics of Quasi-Periodic Order), DOTERA Tomonari, MATSUZAWA Junichi, RIMS Kokyuroku, RIMS Kokyuroku, 1725, 80 - 91, Feb. 2011
- 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, Journal of the Japanese Association of Crystal Growth, 36(1), 16 - 23, Apr. 2009 , Refereed Summary: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. - Mesoscopic Quasicrystalline and Archimedean Tilings in Polymer Alloys, DOTERA Tomonari, Journal of the Crystallographic Society of Japan, Journal of the Crystallographic Society of Japan, 51(1), 124 - 126, Feb. 2009
- MS84:Quasicrystals and Related Giant Crystalline Alloys, ABE Eiji, McGrath Ronan, SUGIYAMA Kazumasa, YUBUTA Kunio, HIRAGA Kenji, DOTERA Tomonari, X-RAYS, X-RAYS, 51(1), 121 - 126, 2009
- Giant Zincblende Structures Formed by an ABC Star-Shaped Terpolymers /homopolymer Blend System, Macromolecules (communication to the Editor), Macromolecules (communication to the Editor), 41, 6269 - 6271, Sep. 2008 , RefereedSummary: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, A.Polotsky・M.Charlaganov, Y.X.Frans, A.M.Leermakers, M.Daoud, A.H.E. Mueller, T.Dotera, O.Borisov, Macromolecules, Macromolecules, Jun. 2008 , RefereedSummary: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(nbutyl acrylate) shell, where the core forms pearl-necklace-like structures due to either a bad solvent for PAA or complexation with multivalent ions.
- Dodecagonal quasicrystal in a polymeric alloy II: specific heat, Tomonari Dotera, Philosophical Magazine, Philosophical Magazine, 88(13-15), 2245 - 2251, May 2008 , RefereedSummary: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 (4.82) ? (32.4.3.4) ? 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.

Keywords: phase transformations, polymers, quasicrystals, self-assembly, specific heat - Symmetry in Polymers : Tricontinuous Cubic and Tiling Structures, MATSUSHITA Yushu, DOTERA Tomonari, Kobunshi, Kobunshi, 57(2), 71 - 75, Feb. 2008 , RefereedSummary: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>
- Mean-Field Theory of Archimedean and Quasicrystalline Tilings, Tomonari Dotera, Phil. Mag., Phil. Mag., 87, 3011 - 3019, Jul. 2007 , RefereedSummary: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. Alexander-MacTague and Mermin-Troian theories of weak crystallization are revisited.

Keywords: quasicrystals; polymers; phase stability, self-assembly; approximants; Archimedean tilings - Photonic band structure calculations of two-dimensional Archimedean tiling patterns, K.Ueda・T.Dotera, T.Gemma, Phys. Rev. B, Phys. Rev. B, 75, 19512, May 2007 , RefereedSummary:We present a study of photonic band structures of two-dimensional Archimedean tiling patterns. The tilings we have investigated are (4.8.8), (6.6.6), (4.6.12), and (3.3.4.3.4), which have been discovered computationally and experimentally in self-assembled microphase separation of ABC star block terpolymers 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 (3.3.4.3.4) structures in the same way as in dodecagonal quasicrystals. Complex tilings open up a new way to construct photonic crystals.
- Polymeric Quasicrystal: Mesoscopic Quasicrystalline Tiling in a Three-arm Polymeric Star Polymers, K.Hayashida・T. Dotera, A.Takano, Y.Matsushita, Phys. Rev. Lett., Phys. Rev. Lett., 98, May 2007 , RefereedSummary:A mesoscopic tiling pattern with twelvefold 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. TEM images reveal a nonperiodic tiling pattern covered with equilateral triangles and squares, their triangle/square number ratio of 2.3 ($\approx 4/\sqrt{3}$), and a microbeam X-ray diffraction pattern shows dodecagonal symmetry. The same kind of quasicrystalline structures have been found for metal alloys (-0.5 nm), chalcogenides (-2 nm), and liquid crystals(-10 nm). The present result (-50 nm) confirms the universal nature of dodecagonal quasicrystals over several hierarchical length scales.
- Archimedean Tilings Obtained from Polymers, DOTERA Tomonari, Butsuri, Butsuri, 61(8), 598 - 602, Aug. 2006 , RefereedSummary: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, Phil. Mag., Phil. Mag., 86, 1085 - 1091, Feb. 2006 , RefereedSummary: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 (32.4.3.4) 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*128*10) can be regarded as the Stampfli inflation of the (32.4.3.4) 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.

Keywords: quasicrystals; polymers; alloys; self-assembly; approximants; Monte-Carlo simulation - 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, J. Polym. Sci. Part B: Polym. Phys., J. Polym. Sci. Part B: Polym. Phys., 43, 2427 - 2432, Jul. 2005 , RefereedSummary:The Archimedean tiling (32.4.3.4) 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 hierarchy.
- 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, J. Appl. Phys., J. Appl. Phys., 96, 2937 - 2944, Sep. 2004 , RefereedSummary: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.
- Simulations of Gaussian and Excluded-Volume Chains in Curved Slits, Y.Y.Suzuki, T.Dotera, M. Hirabayashi, AIP Conference proceedings, AIP Conference proceedings, 708, 257 - 258, Apr. 2004 , RefereedSummary: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.
- Monte Carlo Simulation of Microphase Separations, DOTERA Tomonari, Kobunshi, Kobunshi, 53(4), 263 - 266, Apr. 2004 , RefereedSummary: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, Jpn. J. Appl. Phys., Jpn. J. Appl. Phys., 43, 1649 - 1650, Apr. 2004 , RefereedSummary: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, Bulletin of science and engineering, Takushoku University, 9(1), 33 - 38, Jan. 25 2004 Summary: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: Topological Effects, free Volume and surface end segregation, Journal of Chemical Physics, Journal of Chemical Physics, 120, 496 - 505, Jan. 2004 , RefereedSummary: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 localized 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.
- Tricontinuous Cubic Structures in ABC/A/C Copolymer and Homopolymer Blends, Tomonari Dotera, Physical Review Letters, Physical Review Letters, 89, 20550, Nov. 2002 , RefereedSummary:Cover: Using 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 Starpolymers using the Diagonal Bond Method, Tohru Gemma, Akira Hatano, Tomonari Dotera, Macromolecules, Macromolecules, 35, 3225 - 3237, 2002 , RefereedSummary: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 starpolymer 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.
- Polymer confinement in undulated membrane boxes and tubes, T.Dotera, Y.Suzuki, Physical Review E, Physical Review E, 62, 5318 - 5323, Oct. 2000 , RefereedSummary: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, DOTERA Tomonari, HATANO Akira, GEMMA Tohru, Kobunshi Kagaku, Kobunshi Kagaku, 56(10), 667 - 673, Oct. 1999 Summary: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, doublediamond, lamellar, and cylindrical structures. For all structures in this paper pictorial presentation is given.
- Cell Crystals: Kelvin’s Polyhedra in Block Copolymer Melts, Tomonari Dotera, Physical Review Letters, Physical Review Letters, 82, 105 - 108, Jan. 1999 , RefereedSummary: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.
- Formation of Multicontinuous Structures in Block Copolymer Melts, Tomonari Dotera, Akira Hatano, Progress in Colloid & Polymer Science, Progress in Colloid & Polymer Science, 106, 147 - 149, Oct. 1997 , RefereedSummary: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.

Key words: Block copolymer, microphase separation, double-diamond, computer simulation - The Diagonal Bond Method: A New Lattice Polymer Model for Simulation Study of Block Copolymers, T. Dotera, A. Hatano, Journal of Chemical Physics, Journal of Chemical Physics, 105, 8413 - 8427, Nov. 1996 , RefereedSummary: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.
- Collective Atomic Flows in Random Tiling Quasicrystals, Tomonari Dotera, Proceedings of the 5th. Intl. Conf. on Quasicrystals, World Scientific, Proceedings of the 5th. Intl. Conf. on Quasicrystals, World Scientific, 232 - 235, May 1995 , RefereedSummary: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 quasicrystals, Tomonari Dotera, Materials Science Engineering, Materials Science Engineering, A181/A182, 758 - 761, May 1994 , RefereedSummary: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 (kBTc= 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 Tc.
- Ising-Like Transition and Phason Unlocking in Icosahedral Quasicrystals, T.Dotera, P.J.Steinhardt, Physical Review Letters, Physical Review Letters, 72, 1670 - 1673, Mar. 1994 , RefereedSummary: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, Tomonari Dotera, Material Science Forum, Material Science Forum, 150-151, 375 - 386, Mar. 1994 , RefereedSummary: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 quasiperiodic chains and new self-similar polynomials, T.-k.Suzuki, T.Dotera, Journal of Physics.A, Mathematical and General, Journal of Physics.A, Mathematical and General, 26, 6101 - 6113, Nov. 1993 , RefereedSummary: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, Proceedings of the 5th. Intl. Conf. on Quasicrystals, World Scientific, 232 - 235, May 1991 , RefereedSummary: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.
- Properties of Decapod Defects, T.Dotera, H.-C. Jeong, P.J.Steinhardt, Methods of Structural Analysis of Modulated Structures and Quasicrystals,World Scientific, Methods of Structural Analysis of Modulated Structures and Quasicrystals,World Scientific, 660 - 666, May 1991 Summary: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.
- Comments on Eigenvalue Problems on the Fibonacci Quasicrystals, Tomonari Dotera, Proceedings of China-Japan Seminars, Quasicrystals, World Scientific, Proceedings of China-Japan Seminars, Quasicrystals, World Scientific, 316 - 323, Apr. 1991 Summary: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 Two-Dimensional Ising models, R. Abe, T. Dotera, Prog. Theor. Phys., Prog. Theor. Phys., 85, 509 - 525, Mar. 1991 , RefereedSummary: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.
- Critical Compressibility Factor of Two-Dimensional Lattice Gas - Kagome and Diced Lattices, R. Abe, T. Dotera, T. Ogawa, Prog. Theor. Phys., Prog. Theor. Phys., 84, 425 - 435, Sep. 1990 , RefereedSummary: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 Penrose Lattice, R. Abe, T. Dotera, J. Phys. Soc. Jpn., J. Phys. Soc. Jpn., 58, 3219 - 3226, Sep. 1989 , RefereedSummary: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, Tomonari Dotera, Physical Review B, Physical Review B, 38, 11534 - 11542, Dec. 1988 , RefereedSummary: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.

- Aperiodic tilings derived from the Ammann-Beenker tiling, Joichiro Nakakura, Interdisciplinary Symposium for Quasicrystals and Strongly Correlated Electron Systems (23-27 June, 2019, Tohoku University, 2019 06 26
- Metallic-mean quasicrystals: Sequences of quasicrystals that approach crystals, Tomonari Dotera, Interdisciplinary Symposium for Quasicrystals and Strongly Correlated Electron Systems (23-27 June, 2019, Tohoku University, 2019 06 26 , 招待有り
- Metallic-mean quasicrystals: Sequences of quasicrystals that approach crystals, Tomonari Dotera, International Workshop on Soft Matter: Analysis, Computation, and Applications (14-16 June, 2019, Jilin University, Changchun, China), 2019 06 15 , 招待有り
- Metallic-mean quasicrystals: Sequences of quasicrystals that approach crystals, Tomonari Dotera, The 14th International Conference on Quasicrystals (ICQ14) (May 26-31, Kranjska Gora, Slovenia), 2019 05 30 , 招待有り
- Aperiodic tilings derived from the Ammann-Beenker tiling, Joichiro Nakakura, The 14th International Conference on Quasicrystals (ICQ14) (May 26-31, Kranjska Gora, Slovenia), 2019 05 28
- Bronze-mean hexagonal quasicrystal, Tomonari Dotera, Seminar, Australian National University, 2019 03 29
- Self-assembly of hexagons into infinite bicontinuous cubic polyhedra, 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 12
- Bronze-mean quasiperiodic tiling and its extensions, Tomonari Dotera, Quasicrystals: pattern formation and aperiodic order ((June 4-8, International Center for Mathematical Sciences, Edinburgh, Scotland), 2018 06 06 , 招待有り
- Associated tilings derived from the bronze-mean quasicrystal, Joichiro Nakakura, Tomonari Dotera, Primoz Ziherl, Quasicrystals: pattern formation and aperiodic order ((June 4-8, International Center for Mathematical Sciences, Edinburgh, Scotland), 2018 06 04
- Bronze-mean quasicrystalline tiling and its extensions, Tomonari Dotera, 2018 03 27 , 招待有り
- Two extensions: Bronze-mean quasicrystal and crystals on saddle-shaped surfaces, 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 22 , 招待有り
- The magic numbers of equal spheres on triply periodic minimal surfaces, 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 18
- Two extensions in crystallography: Bronze-mean quasicrystal and crystals on saddle-shaped surfaces, Tomonari Dotera, Monday physics colloquium, Dept. of physics, Univ. of Ljubljana (Ljubljana, Slovenia), 2017 03 20
- Bronze-mean hexagonal quasicrystal, Tomonari Dotera, 13th International Conference on Quasicrystals (ICQ13, Sept. 18 - 23, Kathmandu, Nepal), 2016 09 19 , 招待有り
- Origin of 18-fold quasicrystal, S. Bekku, P. Ziherl, T. Dotera, 13th International Conference on Quasicrystals (ICQ13, Sept. 18 - 23, Kathmandu, Nepal), 2016 09 19
- Regular Arrangement on the P-Surface, Yusuke Takahashi, Tomonari Dotera, Animal Vegetal Minearal? Boden Research Conference (Sept. 19-23, Yallingup, Western Australia, Australia), 2016 09 19
- Regular Arrangement on the D-Surface, Hideaki Tanaka, Tomonari Dotera, Animal Vegetal Minearal? Boden Research Conference (Sept. 19-23, Yallingup, Western Australia, Australia), 2016 09 19
- Hard-core/square-shoulder quasicrystals, 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 19 , 招待有り
- Novel periodic and aperiodic tilings formed by hard-core/square-shoulder particles, S. Bekku, T. Dotera, Toyota RIKEN International Workshop 2015, Strongly Correlated Electron Systems: Open Space between Heavy Fermions and Quasicrystal (Nagoya Univ.), 2015 11 19
- 17pPSB-31 Hard spheres on the Diamond surface, Tanaka Hideaki, Dotera Tomonari, 日本物理学会講演概要集, 2015 09 17
- 16pCU-7 Novel tiling structures in core-shell particle systems, Bekku Shinichi, Dotera Tomonari, 日本物理学会講演概要集, 2015 09 16
- Regular tessellations of hard spheres on the P-surface, Tomonari Dotera, Gordon Research Conference, Soft Condensed Matter Physics (Colby-Sawyer College, New London, NH), 2015 08 09
- Hard Spheres on the Diamond Surface, Hideaki Tanaka, Tomonari Dotera, Workshop on minimal surfaces (Nara), 2015 04 05
- Hard Spheres on the Primitive Surface, Yusuke Takahashi, Tomonari Dotera, Workshop on minimal surfaces (Nara), 2015 04 05
- Hard Spheres on the Primitive Surface, Tomonari Dotera, APS March Meeting (San Antonio, Texas), Focus Session: Beyond the Gyroid: Complex Network Phases in Self-Assembled Soft Materials, 2015 03 02 , 招待有り
- Mosaic quasicrystals: Isosceles triangular tilings, Tomonari Dotera, 2014 10 27 , 招待有り
- Chair, Organizer, Tomonari Dotera, IUCr2014 MS-57 Macromolecular and Soft-matter Aperiodic Crystals (crystallography, growth and self-assembly, applications), 2014 08 09 , 招待有り
- Soft Matter Quasicrystals, Tomonari Dotera, IUCr2014 Workshop: Introduction to Aperiodic Crystals, 2014 08 05 , 招待有り
- The Expanding Universe of Quasicrystals, Tomonari Dotera, 2014 05 12 , 招待有り
- 29pCB-8 Wrapping up : Complex Order-Transdisiplinary Approach with Various Materials Fields-, Dotera Tomonari, Meeting abstracts of the Physical Society of Japan, 2014 03 29 , 招待有り
- Random quasicrystals formed by hard-core/square-shoulder particles, Dotera, T. Oshiro, P. Ziherl, International Conference: Geometry and Physics of Spatial Random Systems (Freudenstadt (Black Forest), Germany), 2013 09 10
- Simulation study of two-lengthscale quasicrystals, T. Dotera, T. Oshiro, P. Ziherl, 12th International Conference on Quasicrystals (ICQ12, Sept. 1 - 6, Kraków, Poland), 2013 09 02
- 27pXC-4 Confined Polymers, Dotera Tomonari, Meeting abstracts of the Physical Society of Japan, 2013 03 27 , 招待有り
- Quasicrystals formed by hard-core/square-shoulder particles, Tomonari Dotera, 2013 02 25
- Hard Spheres on the Gyroid Surface, Tomonari Dotera, MRS Fall Meeting 2012 (Boston), 2012 11 29
- Quasicrystals formed by hard-core/square-shoulder particles, Tomonari Dotera, MRS Fall Meeting 2012 (Boston), 2012 11 27
- 20aAK-10 2D Quasicrystal formation of hardcore-soft shoulder particles, Dotera T, Oshiro T, Ziherl Primoz, Meeting abstracts of the Physical Society of Japan, 2012 09 20
- Quasicrystals formed by hard-core/square-shoulder particles, T. Dotera, T. Oshiro, P. Ziherl, Aperiodic 2012 (Cairns, Australia), 2012 09 04
- #102QUASICRYSTALS FORMED BY HARD-CORE/SQUARE-SHOULDER PARTICLES, T. Dotera, T. Oshiro, P. Ziherl, Quasicrystal International Conference at Taipei Tech (30 years of the QC), 2012 05 08
- 26pBH-5 Physics of Quasicrystals : Theoretical Aspect, Dotera Tomonari, Meeting abstracts of the Physical Society of Japan, 2012 03 26 , 招待有り
- 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, 2012 03 25
- Phase Transition of Hard Spheres on the Gyroid Surface, M. Kimoto, T. Dotera, J. Matsuzawa, Phase Transition Dynamics in Soft Matter : Bridging Microscale and Mesoscale, 2012 02 20
- Quasicrystalline and Archimedean Phases in Polymeric Alloys, Tomonari Dotera, Monday physics colloquium, Dept. of physics, Univ. of Ljubljana (Ljubljana, Slovenia), 2011 10 10 , 招待有り
- Hard Spheres on the Gyroid Surface, Tomonari Dotera, Masakiyo Kimoto, J. Matsuzawa, Geometry of Interfaces (Primosten, Croatia), 2011 10 05
- Hard Disks on the minimal Gyroid surface, Tomonari Dotera, Masakiyo Kimoto, J. Matsuzawa, The eighth Liquid Matter Conference (Wien), 2011 09 07
- Geometric problems in soft matter, Tomonari Dotera, Seminar, Department of Physics, Sejong University （世宗大学校, 韓国）, 2011 06 03 , 招待有り
- Structural Transition of Dodecagonal Quasicrystals: Defect-mediated approach, 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 30
- Dodecatic phase: quasicrystal formation in hardcore-softshell particles, 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 30 , 招待有り
- Hard Disks on the Gyroid surface, 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 19 , 招待有り
- 27pEG-3 Quasicrystal formation of hardcore-softshell disks, Oshiro T, Dotera T, Meeting abstracts of the Physical Society of Japan, 2011 03 27
- 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, 2010 09 24
- Hyperbolic Tiling on the Gyroid Surface in ABC Star Polymers, K. Hayashida, T. Dotera, J. Matsuzawa, A. Takano, Y. Matsushita, International Soft Matter Conference 2010 (Granada, Spain), 2010 07 05
- Hyperbolic Tiling on the Gyroid Surface in a Polymeric Alloy, Tomonari Dotera, Junichi Matsuzawa, Mathematics of Quasi-Periodic Order (RIMS, Kyoto University, Kyoto, Japan), 2010 06 22
- STRUCTURAL TRANSITION OF DODECAGONAL QUASICRYSTALS AND APPROXIMANTS, Tomonari Dotera, 11th International Conference on Quasicrystals (ICQ11, Sapporo, Japan), 2010 06 14 , 招待有り
- 25pYB-4 Structural transition of dodecagonal quasicrystalline tiling, Dotera Tomonari, Meeting abstracts of the Physical Society of Japan, 2009 09 25
- Geometric problems in multi-component polymer systems, Tomonari Dotera, 2009 06 30 , 招待有り
- X20.00010Quasicrystalline long-range order in an ABC star block copolymer, Tomonari Dotera, APS March Meeting (Pittsburgh, PA), 2009 03 19
- Mesoscopic quasicrystalline and Archimedean tilings in polymer alloys, Tomonari Dotera, IUCr2008 (Aug. 23-31, Osaka), 2008 08 29 , 招待有り
- Quasicrystalline and Archimedean Phases in Polymeric Alloys, Tomonari Dotera, Seminar, the Department of Physical, Inorganic and Structural Chemistry at Stockholm University, 2008 07 14
- Quasicrystalline and Archimedean Phases in Polymeric Alloys, Tomonari Dotera, 10th International Conference on Quasicrystals (ICQ10, July 6 - 11, Zurich, Switzerland), 2008 07 11 , 招待有り
- Mean-Field Theory of Archimedean and Quasicrystalline Tilings, Tomonari Dotera, 10th International Conference on Quasicrystals (ICQ10, July 6 - 11, Zurich, Switzerland), 2008 07 10
- 24pWA-3 Landau Theory of Archimedean and Dodecagonal Phases in Star Polymers, Dotera Tomonari, Meeting abstracts of the Physical Society of Japan, 2008 03 29 , 招待有り
- Mean-Field Theory of Archimedean, Quasicrystalline and Diamond Structures in ABC Star Polymers, T.Dotera・R. Kodama, The 10th Pacific Polymer Conference (Kobe, Japan), 2007 12
- 23pXQ-4 Polymeric Quasicrystal : Mesoscopic Quasicrystalline Tiling in ABC Star Polymers, Dotera Tomonari, Meeting abstracts of the Physical Society of Japan, 2007 08 21 , 招待有り
- Photonic Band Structure of Archimedean Tilings and a Dodecagonal Quasicrystal, K.Ueda・T.Dotera, Aperiodic'06 (Zao, Miyagi, Japan), 2006 09 Summary:Kazunari UEDA, Student Award
- A Dodecagonal Quasicrystal and Archimedean Tilings in a Polymeric Alloy, Tomonari Dotera, Aperiodic'06 (Zao, Miyagi, Japan), 2006 09 , 招待有り
- Archimedean Tiling Phases from ABC Starpolymers: The Road to Polymeric Quasicrystals, Tomonari Dotera, Structures and Dynamics in Soft Matter-Beyond Self-Organization and Hierarchical Structures-, 2006 07 , 招待有り
- 28pXE-2 Simulation of a Dodecagonal Polymeric Quasicrystal II, Dotera Tomonari, Ueda Kazunari, Meeting abstracts of the Physical Society of Japan, 2006 03 04
- 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, 2006 03 04
- Self-Organized Phason Dynamics in a Polymeric Quasicrystal, 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), Tomonari Dotera, Dept. of Polymer Chemistry Kyoto Univ, 物性研究, 2005 09 20 Summary: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。
- 20pYK-3 Simulation of a Dodecagonal Polymeric Quasicrystal, Dotera Tomonari, Ueda Kazunari, Gemma Tohru, Meeting abstracts of the Physical Society of Japan, 2005 08 19
- 22aXJ-1 2D quasicrystalline structure in ABC star terpolymer melts, Dotera Tomonari, Ueda Kazunari, Gemma Tohru, Meeting abstracts of the Physical Society of Japan, 2005 08 19
- 21pXB-11 Photonic band calculation of microphase separated patterns of starpolymers, Ueda Kazunari, Dotera Tomonari, Meeting abstracts of the Physical Society of Japan, 2005 08 19
- Polymeric Quasicrystals Tomonari Dotera, Tomonari Dotera, YITP Workshop "Soft Matter as Structured Materials", 2005 08
- Novel Structures in ABC 3-miktoarm Star Terpolymer Melts, T.Dotera, T.Gemma, The 8th SPSJ International Polymer Conference (IPC 2005), 2005 07
- Dodecagonal Quasicrystal in a Polymeric Alloy, T.Dotera, T.Gemma, 9th International Conference on Quasicrystals (Ames, USA), 2005 05
- Can polymer alloys be complex as metallic alloys?, 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, T.Dotera, A.Takano, N.Tanaka, Y.Matsushita, American Physical Society Meeting (LA, USA), 2005 03
- Simulations of Gaussian and Excluded-volume Chains in Curved Slits, Y.Y.Suzuki, T.Dotera, M. Hirabayashi, Slow Dynamics in Complex Systems(Sendai), 2003 11
- Voronoi Space Division of a Polymer, 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, Tomonari Dotera, IUPAP Polymer Conference(Kyoto), 2002 12
- Curvature Effect of a Confined Polymer, Tomonari Dotera, Polymers in Confined Geometry (Mainz, Germany), 2002 09
- [L10.004]Monte Carlo Lattice Simulations of Cubic Phases in ABC/A/C Copolymer and Homopolymer Blends, 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, Ueda M, Hayama T, Takawura Y, Horiike Y, Dotera T, Baba Y, Meeting abstracts of the Physical Society of Japan, 2002 03 01
- 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, 2002 03 01
- Simulation of polymers strongly confined in curved boxes, Suzuki Y. Y, Dotera T, Meeting abstracts of the Physical Society of Japan, 2001 09 03
- Curvature Effect of a Confined Polymer, DOTERA Tomonari, Meeting abstracts of the Physical Society of Japan, 2001 09 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, 2001 09 03
- Polymer Confinement in Undulated Membrane Boxes, Tomonari Dotera, Intl. Conf. From Biomembranes to Cationic Liposomes; (Espoo, Finland), 2001 08
- The Origitl of Entropy Reduction of Polymer Confinement, DOTERA Tomonari, Meeting abstracts of the Physical Society of Japan, 2001 03 09
- Simulation of polymers in curved boxes 3, Suzuki Y. Y, Dotera T, Hirabayashi M, Meeting abstracts of the Physical Society of Japan, 2001 03 09
- 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, 2001 03 09
- Polymer confinement in undulated membrane boxes and tubes, Dotera Tomonari, Suzuki Yasuo Y, Meeting abstracts of the Physical Society of Japan, 2000 09 10
- I F10 Polymer confinement in curved or undulated boxes and tubes, Tomonari Dotera, 2000 09
- New Morphologies in Multiblock Copolymer Melts II, Tomonari Dotera, Gordon Research Conferences: Polymer Physics （New London, USA）, 2000 07
- New Morphologies in Multiblock Copolymer Melts, Tomonari Dotera, Gordon Research Conferences: Polymers (East) （New London, USA）, 2000 06
- Molecular Dynamics Simulations of Polymer Having Side Chains, Tokita Nakako, Hirabayashi Megumi, Dotera Tomonari, Azuma Chiaki, Meeting abstracts of the Physical Society of Japan, 2000 03 10
- 27aP-6 Simulations of Complex Phases Having Negative Gaussian Curvatures in Block Copolymer Systems, DOTERA Tomonaei, Meeting abstracts of the Physical Society of Japan, 1999 09 03
- Simulations of Complex Phases in Multiblock Copolymer Melts, Tomonari Dotera, Interface and Colloidal Systems (Aghia Pelaghia , Greece), 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, 1999 03 15
- 29a-XG-8 Simulations of ABC Star Block Copolymer Melts, Gemma T, Hatano A, Dotera T, Meeting abstracts of the Physical Society of Japan, 1999 03 15
- Simulations of ABC Linear Block Copolymer Melts, DOTERA Tomonari, HATANO Akira, Meeting abstracts of the Physical Society of Japan, 1998 09 05
- Simulations of ABCD Star Block Copolymer Melts, DOTERA Tomonari, Meeting abstracts of the Physical Society of Japan, 1998 09 05
- 7p-YL-8 Simulation of polymers in curved boxes, Suzuki Yasuo Y, Dotera Tomonari, Meeting abstracts of the Physical Society of Japan, 1997 09 16
- Can Quasicrystals Flow?, Tomonari Dotera, 6th. Intl. Conference on Quasicrystals（Tokyo）, 1997 05
- Formation of Multi-continuous Structures in Block Copolymer Melts, 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, Dotera Tomonari, Abstracts of the meeting of the Physical Society of Japan. Sectional meeting, 1996 09 13
- The Diagonal Bond Method: A New Simulation Method of Block Copolymers, 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, Dotera Tomonari, Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 1996 03 15
- Collective Atomic Flows in Random Tiling Quasi-crystals, Tomonari Dotera, 5th. Intl. Conference. on Quasicrystals (Avignon, France), 1995 05
- Monte Carlo Simulation of Block Copolymers - Self-Avoiding Chains with Crossings -, T.Dotera・A.Hatano, 5th SPSJ Intl. Polymer Conference （Osaka）, 1994 11
- 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, 1994 03 16
- Computer studies of a phase transition of icosahedral quasicrystals, Tomonari Dotera, 8th Intl. Conference on Rapid Quench and Metastable Materials (Sendai), 1993 10
- Phason Elasticity and Ising Models, Tomonari Dotera, Intl. Symposium on Quasicrystals and Imperfectly Ordered Crystals (Chengde), 1993 08
- 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, 1993 03 16
- 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 09 14
- Properties of Decapod Defects, 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, ABE Ryuzo, DOTERA Tomonari, OGAWA Takesi, 秋の分科会講演予稿集, 1990 10 02
- 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 09 12
- Propeties of Transfer Matrices obtained from a Fibonacci Lattice, Dotera Tomonari, Suzuki Toshikazu, 年会講演予稿集, 1990 03 16
- Self-Similar Polynomials obtained from a Fibonacci Lattice, 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., ABE Ryuzo, DOTERA Tomonari, 秋の分科会講演予稿集, 1989 09 12
- 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 09 12

- BEHIND THE PAPER: Metallic-mean quasicrystals as aperiodic approximants of periodic crystals, Tomonari Dotera, Nature Research Device & Materials Engineering Community, 2019 09 , 招待有り, https://devicematerialscommunity.nature.com/users/297762-tomonari-dotera/posts/53215-metallic-mean-quasicrystals-as-aperiodic-approximants-of-periodic-crystal
- News and Comments: Quest for the Gyroid Labyrinth: Geometry and Topology in Soft Matter, JPSJ Online―News and Comments [August 17, 2012], 2012 08 , 招待有り, http://storagex.ipap.jp/~jpsjoffice/jpsj.ipap.jp/news/jpsj-nc_112.html
- 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 , 10.11316/jpsgaiyo.56.2.2.0_268_3

- 2007 , Journal of Polymer Science Part B: Polymer Physics Prize for 2007

- JSPS, Grant-in-Aid for Scientific Research (C), Advanced study of softmatter quasicrystals and quasiperiodic tiling theory
- JSPS, Joint Research Projects under the Bilateral Programs between Japan and Slovenia, Design of quasicrystals and skyrmions in soft matter - The discovery of innovative m aterials structures -
- JSPS, Grant-in-Aid for Scientific Research (B), Design of soft matter quasicrystals and complex crystals - establishing soft matter crystallography
- JSPS, Grant-in-Aid for Scientific Research (C), Theoretical Studies on the Structures and the Physical Properties of Triply Periodic Minimal Surfaces, 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.
- JSPS, Grant-in-Aid for Scientific Research (C), Soft quasicrystals - Theoretical studies on the universality and new physical properties of quasicrystals, 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.
- JSPS, Grant-in-Aid for Scientific Research (C), The Discovery of Polymeric Quasicrystals : Theoretical Study of Structures and Physical Properties of Novel Quasicrystalline Materials, 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.