On spin glass theory beyond mean field

On spin glass theory beyond mean field

Author: Domenico M. Carlucci

Publisher: Edizioni della Normale

Published: 1998-10-01

Total Pages: 163

ISBN-13: 9788876422768

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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.


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 and published by Edizioni della Normale. This book was released on 1998-10-01 with total page 163 pages. 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 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.


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 and published by World Scientific. This book was released on 1998 with total page 454 pages. 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.

Spin Glass Theory and Beyond

Spin Glass Theory and Beyond

Author: M Mezard

Publisher: World Scientific Publishing Company

Published: 1987-11-01

Total Pages: 476

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.


Book Synopsis Spin Glass Theory and Beyond by : M Mezard

Download or read book Spin Glass Theory and Beyond written by M Mezard and published by World Scientific Publishing Company. This book was released on 1987-11-01 with total page 476 pages. 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

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

Author: Patrick Charbonneau

Publisher: World Scientific

Published: 2023-07-26

Total Pages: 740

ISBN-13: 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.


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 and published by World Scientific. This book was released on 2023-07-26 with total page 740 pages. 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.

Mean Field Models for Spin Glasses

Mean Field Models for Spin Glasses

Author: Michel Talagrand

Publisher: Springer Science & Business Media

Published: 2011-08-14

Total Pages: 633

ISBN-13: 3642222536

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This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians" in two volumes (this is the 2nd volume). 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, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by non-rigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The present Volume II contains a considerable amount of new material, in particular all the fundamental low-temperature results obtained after the publication of the first edition.


Book Synopsis Mean Field Models for Spin Glasses by : Michel Talagrand

Download or read book Mean Field Models for Spin Glasses written by Michel Talagrand and published by Springer Science & Business Media. This book was released on 2011-08-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians" in two volumes (this is the 2nd volume). 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, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by non-rigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The present Volume II contains a considerable amount of new material, in particular all the fundamental low-temperature results obtained after the publication of the first edition.

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.


Book Synopsis The Sherrington-Kirkpatrick Model by : Dmitry Panchenko

Download or read book The Sherrington-Kirkpatrick Model written by Dmitry Panchenko and published by Springer Science & Business Media. This book was released on 2013-02-26 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Spin Glasses and Related Problems

Spin Glasses and Related Problems

Author: V. S. Dotsenko

Publisher: CRC Press

Published: 1990

Total Pages: 266

ISBN-13: 9783718650392

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Three scientists from the L.D. Landau Institute of Theoretical Physics, Moscow, review recent developments in the theory of spin glasses and related strongly disordered systems. They discuss in particular the problems of irreversibility and nonergodicity in the framework of the mean field theory, a phase transition in three- dimensional spin glasses, and glass-like systems with hidden correlations. Addressed to researchers in theoretical physics. Book club price $59. Annotation copyrighted by Book News, Inc., Portland, OR


Book Synopsis Spin Glasses and Related Problems by : V. S. Dotsenko

Download or read book Spin Glasses and Related Problems written by V. S. Dotsenko and published by CRC Press. This book was released on 1990 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Three scientists from the L.D. Landau Institute of Theoretical Physics, Moscow, review recent developments in the theory of spin glasses and related strongly disordered systems. They discuss in particular the problems of irreversibility and nonergodicity in the framework of the mean field theory, a phase transition in three- dimensional spin glasses, and glass-like systems with hidden correlations. Addressed to researchers in theoretical physics. Book club price $59. Annotation copyrighted by Book News, Inc., Portland, OR

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.


Book Synopsis Spin Glasses by : K. H. Fischer

Download or read book Spin Glasses written by K. H. Fischer and published by Cambridge University Press. This book was released on 1993-05-27 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account of the theory, experimental work and computer modelling of spin glasses.

Spin Glasses

Spin Glasses

Author: Erwin Bolthausen

Publisher:

Published: 2007-01-01

Total Pages: 179

ISBN-13: 9786610745357

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Spin glass theory is going through a stunning period of progress while finding exciting new applications in areas beyond theoretical physics, in particular, in combinatorics and computer science. This collection of state-of-the-art review papers written by leading experts in the field covers the topic from a wide variety of angles. The topics covered are mean field spin glasses, including a pedagogical account of Talagrand's proof of the Parisi solution, short range spin glasses, emphasizing the open problem of the relevance of the mean-field theory for lattice models, and the dynamics of spin glasses, in particular the problem of ageing in mean field models. The book will serve as a concise introduction to the state of the art of spin glass theory, 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.


Book Synopsis Spin Glasses by : Erwin Bolthausen

Download or read book Spin Glasses written by Erwin Bolthausen and published by . This book was released on 2007-01-01 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spin glass theory is going through a stunning period of progress while finding exciting new applications in areas beyond theoretical physics, in particular, in combinatorics and computer science. This collection of state-of-the-art review papers written by leading experts in the field covers the topic from a wide variety of angles. The topics covered are mean field spin glasses, including a pedagogical account of Talagrand's proof of the Parisi solution, short range spin glasses, emphasizing the open problem of the relevance of the mean-field theory for lattice models, and the dynamics of spin glasses, in particular the problem of ageing in mean field models. The book will serve as a concise introduction to the state of the art of spin glass theory, 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.

Random Fields and Spin Glasses

Random Fields and Spin Glasses

Author: Cirano De Dominicis

Publisher: Cambridge University Press

Published: 2006-10-26

Total Pages: 5

ISBN-13: 1139459910

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Disordered magnetic systems enjoy non-trivial properties which are different and richer than those observed in their pure, non-disordered counterparts. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. This book deals with the theory of magnetic systems in the presence of frozen disorder, in particular paradigmatic and well-known spin models such as the Random Field Ising Model and the Ising Spin Glass. This is a unified presentation using a field theory language which covers mean field theory, dynamics and perturbation expansion within the same theoretical framework. Particular emphasis is given to the connections between different approaches such as statics vs. dynamics, microscopic vs. phenomenological models. The book introduces some useful and little-known techniques in statistical mechanics and field theory. This book will be of great interest to graduate students and researchers in statistical physics and basic field theory.


Book Synopsis Random Fields and Spin Glasses by : Cirano De Dominicis

Download or read book Random Fields and Spin Glasses written by Cirano De Dominicis and published by Cambridge University Press. This book was released on 2006-10-26 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disordered magnetic systems enjoy non-trivial properties which are different and richer than those observed in their pure, non-disordered counterparts. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. This book deals with the theory of magnetic systems in the presence of frozen disorder, in particular paradigmatic and well-known spin models such as the Random Field Ising Model and the Ising Spin Glass. This is a unified presentation using a field theory language which covers mean field theory, dynamics and perturbation expansion within the same theoretical framework. Particular emphasis is given to the connections between different approaches such as statics vs. dynamics, microscopic vs. phenomenological models. The book introduces some useful and little-known techniques in statistical mechanics and field theory. This book will be of great interest to graduate students and researchers in statistical physics and basic field theory.