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Mathematical Challenges in a New Phase of Materials Science [[electronic resource] ] : Kyoto, Japan, August 2014 / / edited by Yasumasa Nishiura, Motoko Kotani
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
Materiale a stampa
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
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  
Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui