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On spin glass theory beyond mean field

1998-10-01 Science
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Release : 1998-10-01
Genre : Science
Kind : eBook
Book Rating : 768/5 ( reviews)

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Book Synopsis On spin glass theory beyond mean field by : Domenico M. Carlucci

Download or read book On spin glass theory beyond mean field written by Domenico M. Carlucci. This book was released on 1998-10-01. Available in PDF, EPUB and Kindle. Book excerpt: Spin glass theory is really one of the most fascinating and appealing topics in theoretical and statistical physics. Since the oldest paper in 1959, such systems, which appearently are neither ferromagnetic nor antiferromagnetic, have been studied far and wide, but a full and complete understanding of the transition of disordered systems is still missing. The physical reason of their complexity is that the free energy at low temperature occurs as a rough landscape with a huge number of metastable states and the conventional statistical techniques fail.

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

1987-11-01 Science
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Release : 1987-11-01
Genre : Science
Kind : eBook
Book Rating : 914/5 ( reviews)

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Book Synopsis Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications by : Marc Mezard

Download or read book Spin Glass Theory And Beyond: An Introduction To The Replica Method And Its Applications written by Marc Mezard. This book was released on 1987-11-01. Available in PDF, EPUB and Kindle. Book excerpt: 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

2023-07-26 Science
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Release : 2023-07-26
Genre : Science
Kind : eBook
Book Rating : 936/5 ( reviews)

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Book Synopsis Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years by : Patrick Charbonneau

Download or read book Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years written by Patrick Charbonneau. This book was released on 2023-07-26. Available in PDF, EPUB and Kindle. Book excerpt: 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 Glasses and Random Fields

1998 Science
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Release : 1998
Genre : Science
Kind : eBook
Book Rating : 403/5 ( reviews)

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Book Synopsis Spin Glasses and Random Fields by : A. Peter Young

Download or read book Spin Glasses and Random Fields written by A. Peter Young. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction To The Theory Of Spin Glasses And Neural Networks

1995-01-16 Science
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Release : 1995-01-16
Genre : Science
Kind : eBook
Book Rating : 654/5 ( reviews)

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Book Synopsis An Introduction To The Theory Of Spin Glasses And Neural Networks by : V Dotsenko

Download or read book An Introduction To The Theory Of Spin Glasses And Neural Networks written by V Dotsenko. This book was released on 1995-01-16. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks.The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics.

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