Spin Glass Theory and Far Beyond

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About sixty years ago, the anomalous magnetic response of certain magnetic alloys drew the attention of theoretical physicists. It soon became clear that understanding these systems, now called spin glasses, would give rise to a new branch of statistical physics. As physical materials, spin glasses were found to be as useless as they were exotic. They have nevertheless been recognized as paradigmatic examples of complex systems with applications to problems as diverse as neural networks, amorphous solids, biological molecules, social and economic interactions, information theory and constraint satisfaction problems. This book presents an encyclopaedic overview of the broad range of these applications. More than 30 contributions are compiled, written by many of the leading researchers who have contributed to these developments over the last few decades. Some timely and cutting-edge applications are also discussed. This collection serves well as an introduction and summary of disordered and glassy systems for advanced undergraduates, graduate students and practitioners interested in the topic. Sample Chapter(s) Preface Chapter 1: Simulated Annealing, Optimization, Searching for Ground States Chapter 34: Future Perspectives Contents: Simulated Annealing, Optimization, Searching for Ground States (Sergio Caracciolo, Alexander Hartmann, Scott Kirkpatrick and Martin Weigel) Beyond the Ising Spin Glass I: m-Vector, Potts, p-Spin, Spherical, Induced Moment, Random Graphs (David Sherrington and Jairo R L de Almeida) Beyond the Ising Spin Glass II: Spin Glass Without Replicas (J Michael Kosterlitz) Renormalization Group in Spin Glasses (Tom Lubensky, Tamás Temesvári, Imre Kondor and Maria Chiara Angelini) Numerical Simulations and Replica Symmetry Breaking (Víctor Martín-Mayor, Juan J Ruiz-Lorenzo, Beatriz Seoane and A Peter Young) The High-dimensional Landscape Paradigm: Spin-Glasses, and Beyond (Valentina Ros and Yan V Fyodorov) Universal Aspects of the Structural Glass Transition from Density Functional Theory (Theodore R Kirkpatrick and Dave Thirumalai) Non-Perturbative Processes in Glasses (Peter G Wolynes and Tommaso Rizzo) Dynamical Mean-Field Theory and the Aging Dynamics (Andrea Crisanti, Silvio Franz, Jorge Kurchan and Andrea Maiorano) Dynamical Heterogeneity in Glass-Forming Liquids (Giulio Biroli, Kunimasa Miyazaki and David R Reichman) The Kauzmann Transition to an Ideal Glass Phase (Chiara Cammarota, Misaki Ozawa and Gilles Tarjus) The Gardner Glass (Pierfrancesco Urbani, Yuliang Jin and Hajime Yoshino) The Jamming Transition and the Marginally Stable Solid (Francesco Arceri, Eric I Corwin and Corey S O'Hern) From Polymers to the KPZ Equation (Victor Dotsenko, Pierre Le Doussal and Henri Orland) Emergent Dynamics in Glasses and Disordered Systems: Correlations and Avalanches (Annette Zippelius, Matthias Fuchs, Alberto Rosso, James P Sethna and Matthieu Wyart) Replica Symmetry Breaking in Random Lasers: Experimental Measurement of the Overlap Distribution (Claudio Conti, Neda Ghofraniha, Luca Leuzzi and Giancarlo Ruocco) Anderson Localization on the Bethe Lattice (Saverio Pascazio, Antonello Scardicchio and Marco Tarzia) Quantum Glasses (Leticia F Cugliandolo and Markus Müller) The Cavity Method: From Exact Solutions to Algorithms (Alfredo Braunstein and Guilhem Semerjian) Message Passing and Its Applications (Florent Krzakala, Manfred Opper and David Saad) Information and Communication (Yoshiyuki Kabashima and Toshiyuki Tanaka) The Mighty Force: Statistical Inference and High-Dimensional Statistics (Erik Aurell, Jean Barbier, Aurélien Decelle and Roberto Mulet) Disordered Systems Insights on Computational Hardness (David Gamarnik, Cris Moore and Lenka Zdeborová) Neural Networks: From the Perceptron to Deep Nets (Marylou Gabrié, Surya Ganguli, Carlo Lucibello and Riccardo Zecchina) From the Statistical Physics of Disordered Systems to Neuroscience (Nicolas Brunel, Rémi Monasson, Haim Sompolinsky and J Leo van Hemmen) Statistical Physics of Biological Molecules (Simona Cocco, Andrea De Martino, Andrea Pagnani, Martin Weigt and Felix Ritort) Application of Spin Glass Ideas in Social Sciences, Economics and Finance (Jean-Philippe Bouchaud, Matteo Marsili and Jean-Pierre Nadal) Complex Dynamics in Ecological Systems and Animal Behavior (M Cristina Marchetti, Irene Giardina and A Altieri) Optimization of Random High-Dimensional Functions: Structure and Algorithms (Antonio Auffinger, Andrea Montanari and Eliran Subag) Rigorous Results in the Sherrington–Kirkpatrick Model (Wei-Kuo Chen, Dmitry Panchenko and Francesco Guerra) Random Energy Models: Broken Replica Symmetry and Activated Dynamics (Bernard Derrida, Peter Mottishaw and Véronique Gayrard) Rigorous Results: Random Constraint Satisfaction Problems (Amin Coja-Oghlan, Allan Sly and Nike Sun) Metastates and Replica Symmetry Breaking (C M Newman, N Read and D L Stein) Future Perspectives (Giorgio Parisi) Readership: Advanced undergraduate and graduate students, researchers and practitioners in the fields of statistical physics and its applications, with a particular focus on glassy and disordered systems, both classical and quantum, and computer science, ecological, biological and financial applications.

An Introduction to Chaos in Nonequilibrium Statistical Mechanics

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This book provides an introduction to nonequilibrium statistical mechanics applied to ideas in chaotic dynamics. The author illustrates how techniques in statistical mechanics can be used to calculate quantities that are essential to understanding the chaotic behavior of fluid systems. Beginning with important background information, the volume goes on to introduce basic concepts of dynamical systems theory through simple examples before explaining advanced topics such as SRB and Gibbs measures. It will be of great interest to graduate students and researchers in condensed matter physics, nonlinear science, theoretical physics, mathematics, and theoretical chemistry.

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets (5版)

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書名：Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets 5/E 作者：Hagen Kleinert 出版社：World Scientific 出版日期：2009/00/00 ISBN：9789814273565