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Author: Domenico M. Carlucci
Publisher: Edizioni della Normale
ISBN: 9788876422768
Category : Science
Languages : en
Pages : 163
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Book Description
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.
Author: Domenico M. Carlucci
Publisher: Edizioni della Normale
ISBN: 9788876422768
Category : Science
Languages : en
Pages : 163
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Book Description
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.
Author: A. Peter Young
Publisher: World Scientific
ISBN: 9810232403
Category : Science
Languages : en
Pages : 454
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Book Description
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.
Author: M Mezard
Publisher: World Scientific Publishing Company
ISBN: 9813103914
Category : Science
Languages : en
Pages : 476
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Book Description
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.
Author: Dmitry Panchenko
Publisher: Springer Science & Business Media
ISBN: 1461462894
Category : Mathematics
Languages : en
Pages : 164
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Book Description
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.
Author: Patrick Charbonneau
Publisher: World Scientific
ISBN: 9811273936
Category : Science
Languages : en
Pages : 740
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Book Description
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.
Author: K. H. Fischer
Publisher: Cambridge University Press
ISBN: 9780521447775
Category : Science
Languages : en
Pages : 404
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Book Description
A comprehensive account of the theory, experimental work and computer modelling of spin glasses.
Author: Michel Talagrand
Publisher: Springer Science & Business Media
ISBN: 3642222536
Category : Mathematics
Languages : en
Pages : 633
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Book Description
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.
Author: V. S. Dotsenko
Publisher: CRC Press
ISBN: 9783718650392
Category : Science
Languages : en
Pages : 266
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Book Description
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
Author: Hidetoshi Nishimori
Publisher: Clarendon Press
ISBN: 9780198509400
Category : Computers
Languages : en
Pages : 264
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Book Description
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
Author: Cirano De Dominicis
Publisher: Cambridge University Press
ISBN: 1139459910
Category : Science
Languages : en
Pages : 5
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Book Description
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.
