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
Total Pages: 477
Release: 1987-11-01
Genre: Science
ISBN: 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.

Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years

Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years
Author: Patrick Charbonneau
Publisher: World Scientific
Total Pages: 740
Release: 2023-07-26
Genre: Science
ISBN: 9811273936

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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.

Spin Glass Theory and Far Beyond

Spin Glass Theory and Far Beyond
Author: Patrick Charbonneau
Publisher:
Total Pages: 0
Release: 2023
Genre: Computational complexity
ISBN: 9789811273926

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Neural Networks And Spin Glasses - Proceedings Of The Statphys 17 Workshop

Neural Networks And Spin Glasses - Proceedings Of The Statphys 17 Workshop
Author: Roland Koebarle
Publisher: World Scientific
Total Pages: 335
Release: 1990-04-01
Genre: Science
ISBN: 9813201215

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Emphasis of the proceedings is on the performance of neural networks through selection of the complex state structure of spin glasses in condensed matter physics.

Spin Glasses

Spin Glasses
Author: Erwin Bolthausen
Publisher: Springer
Total Pages: 190
Release: 2007-01-11
Genre: Science
ISBN: 3540409084

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This book serves as a concise introduction to the state-of-the-art of spin glass theory. The collection of review papers are written by leading experts in the field and cover the topic from a wide variety of angles. The book will be useful to both graduate students and young researchers, as well as to anyone curious to know what is going on in this exciting area of mathematical physics.

Spin Glasses And Random Fields

Spin Glasses And Random Fields
Author: Peter A Young
Publisher: World Scientific
Total Pages: 454
Release: 1997-12-23
Genre: Science
ISBN: 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.

Random Fields and Spin Glasses

Random Fields and Spin Glasses
Author: Cirano De Dominicis
Publisher: Cambridge University Press
Total Pages: 240
Release: 2006-10-26
Genre: Science
ISBN: 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.