Mathematical Challenges in a New Phase of Materials Science [[electronic resource] ] : Kyoto, Japan, August 2014 / / edited by Yasumasa Nishiura, Motoko Kotani |
Edizione | [1st ed. 2016.] |
Pubbl/distr/stampa | Tokyo : , : Springer Japan : , : Imprint : Springer, , 2016 |
Descrizione fisica | 1 online resource (VII, 157 p. 39 illus., 21 illus. in color.) |
Disciplina | 620.110151 |
Collana | Springer Proceedings in Mathematics & Statistics |
Soggetto topico |
Partial differential equations
Physics Dynamics Ergodic theory Convex geometry Discrete geometry Partial Differential Equations Mathematical Methods in Physics Dynamical Systems and Ergodic Theory Convex and Discrete Geometry |
ISBN | 4-431-56104-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910254063103321 |
Tokyo : , : Springer Japan : , : Imprint : Springer, , 2016 | ||
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Lo trovi qui: Univ. Federico II | ||
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A New Direction in Mathematics for Materials Science [[electronic resource] /] / by Susumu Ikeda, Motoko Kotani |
Autore | Ikeda Susumu |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (93 p.) |
Disciplina | 510 |
Collana | SpringerBriefs in the Mathematics of Materials |
Soggetto topico |
Mathematical physics
Topology Chemometrics Mathematical Applications in the Physical Sciences Math. Applications in Chemistry |
ISBN | 4-431-55864-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; 1 A Historical View of Materials Science; 1.1 Emergence of Materials Science as an Interdisciplinary Field; 1.2 Classical Fields Within Materials Science; 1.3 Peculiarity of Materials Science and Partnership with Mathematics; References; 2 Influence of Mathematics on Materials Science Upto Date; 2.1 Geometric Structures of Atomic Configurations; 2.1.1 Atomism; 2.1.2 The Miracle Year of 1669; The Emergence of Crystallography and Optocrystallography from Mineralogy; 2.1.3 Quasicrystals; 2.1.4 Aperiodic Tiling and Disordered System; 2.1.5 Graph Modeling for Nano-Materials
2.1.6 Crystal Lattices and Their Standard Realizations2.2 Quantum Materials; 2.2.1 Electronic Characteristics of Periodic Materials System: Band Theory; 2.2.2 Spin Current; 2.2.3 Integer Quantum Hall Effect (IQHE); 2.2.4 Hofstadter's Butterfly; 2.2.5 Central Limit Theorem for Magnetic Transition Operators; 2.2.6 Topological Insulator; 2.2.7 Non Commutative Bloch Theory; 2.3 Pattern Formation; 2.3.1 Patterns in Equilibrium: Soap Films, Soap Bubbles; 2.3.2 Fundamentals of Crystal Growth; 2.3.3 Reaction--Diffusion Equation; 2.3.4 Mean Curvature Flow to Describe Crystal Growth 2.3.5 Level Set Method2.3.6 Phase Field Method; 2.4 Other Tools; 2.4.1 Computed Tomography; 2.4.2 Some Other Computational Tools; 2.5 Global Trend to Encourage Mathematics--Materials Science Cooperation; References; 3 Some Specific Examples of Mathematics--Materials Science Collaboration at AIMR; 3.1 Elucidation of Metallic Glass Structure by Computational Homology; 3.2 Application of a Stochastic Model; 3.2.1 Stoichiometry Control Based on a Mathematical Model; 3.2.2 Deformation Analysis of Bulk Metallic Glass Using a Stochastic Model 3.3 New Geometric Measures for Finite Carbon Nanotubes3.4 Materials Having Network Structures; 3.4.1 Mathematical Technique Predicts Molecular Magnet; 3.4.2 Mixing Time of Molecules Inside of Nanoporous Gold; References; 4 Breakthroughs Based on the Mathematics--Materials Science Collaboration; 4.1 Real Interdisciplinary Integration; 4.2 Organization Promoting Mathematics--Materials Science Collaboration; 4.3 Specific Problems and Applications in the Future; 5 Epilogue; References; Appendix A Supplements to "Quantum Materials" |
Record Nr. | UNINA-9910300250503321 |
Ikeda Susumu
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Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015 | ||
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Lo trovi qui: Univ. Federico II | ||
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