Spin Glass Theory and Far Beyond

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.

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 Computat

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