Spin Glasses and Random Fields
Spin Glasses and Random Fields

Author: A. Peter Young

Publisher: World Scientific

Published: 1998

Total Pages: 454

ISBN-13: 9810232403

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The last few years have seen many developments in the study of ?frustrated? systems, such as spin glasses and random fields. In addition, the application of the idea of spin glasses to other branches of physics, such as vortex lines in high temperature superconductors, protein folding, structural glasses, and the vulcanization of rubber, has been flourishing. The earlier reviews are several years old, so now is an appropriate time to summarize the recent developments. The articles in this book have been written by leading researchers and include theoretical and experimental studies, and large-scale numerical work (using state-of-the-art algorithms designed specifically for spin-glass-type problems), as well as analytical studies.

Random Fields and Spin Glasses
Random Fields and Spin Glasses

Author: Cirano De Dominicis

Publisher: Cambridge University Press

Published: 2006-10-26

Total Pages: 240

ISBN-13: 9780521847834

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The book introduces some useful and little known techniques in statistical mechanics and field theory including multiple Legendre transforms, supersymmetry, Fourier transforms on a tree, infinitesimal permutations and Ward Takahashi Identities."--Jacket.

Spin Glasses
Spin Glasses

Author: K. H. Fischer

Publisher: Cambridge University Press

Published: 1993-05-27

Total Pages: 404

ISBN-13: 9780521447775

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A comprehensive account of the theory, experimental work and computer modelling of spin glasses.

Spin Glasses: A Challenge for Mathematicians
Spin Glasses: A Challenge for Mathematicians

Author: Michel Talagrand

Publisher: Springer Science & Business Media

Published: 2003-07-11

Total Pages: 608

ISBN-13: 9783540003564

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In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, that physicists studied by non-rigorous methods. They predicted spectacular behaviors, previously unknown in probability theory. They believe these behaviors occur in many models of considerable interest for several branches of science (statistical physics, neural networks and computer science). This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics, and contains proofs in complete detail of much of what is rigorously known on spin glasses at the time of writing.

The Sherrington-Kirkpatrick Model
The Sherrington-Kirkpatrick Model

Author: Dmitry Panchenko

Publisher: Springer Science & Business Media

Published: 2013-02-26

Total Pages: 164

ISBN-13: 1461462894

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The celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.

Perspectives on Spin Glasses
Perspectives on Spin Glasses

Author: Pierluigi Contucci

Publisher: Cambridge University Press

Published: 2013

Total Pages: 219

ISBN-13: 0521763347

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Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.

Statistical Physics of Spin Glasses and Information Processing
Statistical Physics of Spin Glasses and Information Processing

Author: Hidetoshi Nishimori

Publisher: Clarendon Press

Published: 2001

Total Pages: 264

ISBN-13: 9780198509400

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This superb new book is one of the first publications in recent years to provide a broad overview of this interdisciplinary field. Most of the book is written in a self contained manner, assuming only a general knowledge of statistical mechanics and basic probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments

Spin Glasses And Random Fields
Spin Glasses And Random Fields

Author: Peter A Young

Publisher: World Scientific

Published: 1997-12-23

Total Pages: 454

ISBN-13: 9814497266

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The last few years have seen many developments in the study of “frustrated” systems, such as spin glasses and random fields. In addition, the application of the idea of spin glasses to other branches of physics, such as vortex lines in high temperature superconductors, protein folding, structural glasses, and the vulcanization of rubber, has been flourishing. The earlier reviews are several years old, so now is an appropriate time to summarize the recent developments. The articles in this book have been written by leading researchers and include theoretical and experimental studies, and large-scale numerical work (using state-of-the-art algorithms designed specifically for spin-glass-type problems), as well as analytical studies.

Quantum Spin Glasses, Annealing and Computation
Quantum Spin Glasses, Annealing and Computation

Author: Shu Tanaka

Publisher: Cambridge University Press

Published: 2017-05-04

Total Pages: 424

ISBN-13: 110830253X

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Quantum annealing is a new-generation tool of information technology, which helps in solving combinatorial optimization problems with high precision, based on the concepts of quantum statistical physics. Detailed discussion on quantum spin glasses and its application in solving combinatorial optimization problems is required for better understanding of quantum annealing concepts. Fulfilling this requirement, the book highlights recent development in quantum spin glasses including Nishimori line, replica method and quantum annealing methods along with the essential principles. Separate chapters on simulated annealing, quantum dynamics and classical spin models are provided for enhanced learning. Important topics including adiabatic quantum computers and quenching dynamics are discussed in detail. This text will be useful for students of quantum computation, quantum information, statistical physics and computer science.

Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications
Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications

Author: Marc Mezard

Publisher: World Scientific Publishing Company

Published: 1987-11-01

Total Pages: 477

ISBN-13: 9813103914

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This book contains a detailed and self-contained presentation of the replica theory of infinite range spin glasses. The authors also explain recent theoretical developments, paying particular attention to new applications in the study of optimization theory and neural networks. About two-thirds of the book are a collection of the most interesting and pedagogical articles on the subject.