Spin glasses and complexity

by Stein, Daniel L.

Type Book

Rate 0.0 /5

Details

Files

Reviews

Download

Title Statements

Full title :Spin glasses and complexity / Daniel L. Stein, Charles M. Newman.

Summary

"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, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts"--

Edition Statements

Publication Date:2012.

Publication Statements

Publisher(s):Princeton University Press
Place of Publication:Princeton
Language:eng
Publication Date:2012.

The Physical Object

Description:1 online resource (xviii, 317 pages) : : illustrations.

Edition Identifiers

ISBN:9781400845637, 1400845637
oclc:ocn994995644
LC Classification:QC176.8.S68
Dewey Decimal:530.4/12

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 Proble…