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Spin Glasses and Complexity /
"Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, f...
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2013.
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| Colección: | Book collections on Project MUSE.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Preface; Introduction: Why Spin Glasses?; 1. Order, Symmetry, and the Organization of Matter; 1.1 The Symmetry of Physical Laws; 1.2 The Hamiltonian; 1.3 Broken Symmetry; 1.4 The Order Parameter; 1.5 Phases of Matter; 1.6 Phase Transitions; 1.7 Summary: The Unity of Condensed Matter Physics; 2. Glasses and Quenched Disorder; 2.1 Equilibrium and Nonequilibrium; 2.2 The Glass Transition; 2.3 Localization; 3. Magnetic Systems; 3.1 Spin; 3.2 Magnetism in Solids; 3.3 The Paramagnetic Phase; 3.4 Magnetization.
- 3.5 The Ferromagnetic Phase and Magnetic Susceptibility3.6 The Antiferromagnetic Phase; 3.7 Broken Symmetry and the Heisenberg Hamiltonian; 4. Spin Glasses: General Features; 4.1 Dilute Magnetic Alloys and the Kondo Effect; 4.2 A New State of Matter?; 4.3 Nonequilibrium and Dynamical Behavior; 4.4 Mechanisms Underlying Spin Glass Behavior; 4.5 The Edwards-Anderson Hamiltonian; 4.6 Frustration; 4.7 Dimensionality and Phase Transitions; 4.8 Broken Symmetry and the Edwards-Anderson Order Parameter; 4.9 Energy Landscapes and Metastability; 5. The Infinite-Range Spin Glass; 5.1 Mean Field Theory.
- 5.2 The Sherrington-Kirkpatrick Hamiltonian5.3 A Problem Arises; 5.4 The Remedy; 5.5 Thermodynamic States; 5.6 The Meaning of Replica Symmetry Breaking; 5.7 The Big Picture; 6. Applications to Other Fields; 6.1 Computational Time Complexity and Combinatorial Optimization; 6.2 Neural Networks and Neural Computation; 6.3 Protein Folding and Conformational Dynamics; 6.4 Short Takes; 7. Short-Range Spin Glasses: Some Basic Questions; 7.1 Ground States; 7.2 Pure States; 7.3 Scenarios for the Spin Glass Phase of the EA Model; 7.4 The Replica Symmetry Breaking and Droplet/Scaling Scenarios.
- 7.5 The Parisi Overlap Distribution7.6 Self-Averaging and Non-Self-Averaging; 7.7 Ruling Out the Standard RSB Scenario; 7.8 Chaotic Size Dependence and Metastates; 7.9 A New RSB Scenario; 7.10 Two More (Relatively) New Scenarios; 7.11 Why Should the SK Model Behave Differently from the EA Model?; 7.12 Summary: Where Do We Stand?; 8. Are Spin Glasses Complex Systems?; 8.1 Three Foundational Papers; 8.2 Spin Glasses as a Bridge to Somewhere; 8.3 Modern Viewpoints on Complexity; 8.4 Spin Glasses: Old, New, and Quasi-Complexity; Notes; Glossary; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R.
- ST; U; W; Z; Bibliography; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; U; V; W; Y.