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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: A. Peter Young
Publisher: World Scientific
ISBN: 9810232403
Category : Science
Languages : en
Pages : 454
Get Book
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: Cirano De Dominicis
Publisher: Cambridge University Press
ISBN: 9780521847834
Category : Science
Languages : en
Pages : 240
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Book Description
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.
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.
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: 9783540003564
Category : Computers
Languages : en
Pages : 608
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Book Description
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.
Author: Daniel L. Stein
Publisher: Princeton University Press
ISBN: 1400845637
Category : Science
Languages : en
Pages : 336
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Book Description
Spin glasses are disordered magnetic systems that have led to the development of mathematical tools with an array of real-world applications, from airline scheduling to neural networks. Spin Glasses and Complexity offers the most concise, engaging, and accessible introduction to the subject, fully explaining what spin glasses are, why they are important, and how they are opening up new ways of thinking about complexity. This one-of-a-kind guide to spin glasses begins by explaining the fundamentals of order and symmetry in condensed matter physics and how spin glasses fit into--and modify--this framework. It then explores how spin-glass concepts and ideas have found applications in areas as diverse as computational complexity, biological and artificial neural networks, protein folding, immune response maturation, combinatorial optimization, and social network modeling. Providing an essential overview of the history, science, and growing significance of this exciting field, Spin Glasses and Complexity also features a forward-looking discussion of what spin glasses may teach us in the future about complex systems. This is a must-have book for students and practitioners in the natural and social sciences, with new material even for the experts.
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: Debashish Chowdhury
Publisher: Princeton University Press
ISBN: 1400858860
Category : Science
Languages : en
Pages : 400
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Book Description
Debashish Chowdhury's critical review of more than a thousand papers not only identifies the complexities involved in the theoretical understanding of the real spin glasses but also explains the physical concepts and the mathematical formalisms that have been used successfully in solving the infiniterange model. Originally published in 1987. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Author: D H Ryan
Publisher: World Scientific
ISBN: 9814505749
Category : Science
Languages : en
Pages : 344
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Book Description
Spin glasses exhibit random magnetic ordering as a result of competing interactions such as exchange or anisotropy. While they are easily prepared, and many of their general properties have been described, a detailed understanding of their behaviour is still lacking after more than 30 years of study. This book reviews the progress that has been made over the last five years on several aspects of the spin glass problem. Unlike several recent books, the authors concentrate here on experimental results, limiting the theoretical discussion to efforts most directly related to such work. The field of spin glasses, or more generally random magnets, continues to attract the interest of researchers worldwide, and the contributions in this book clearly show that this will be the case for many years to come. Contents:Exchange Frustration and Tranverse Spin Freezing (D H Ryan)Investigation of the Reentrant Spin Glass Phase by Neutron Scattering (I Mirebeau et al.)Random Anisotropy and Phase Transitions in Magnetic Glasses (D J Sellmyer & M J O'Shea)Magnetic Anisotropy of Spin Glasses (J S Kouvel)Phase Transitions in Magnets with Random Uniaxial Anisotropy (Y Y Goldschmidt)Finite Size Effects in Metallic Spin Glasses (J Bass & J A Cowen)Slow Dynamics in Spin Glasses and Other Complex Systems (E Vincent et al.)Spin Density Waves in Spin Glasses, Rare-Earth Metallic Alloys and Artificial Superlattices (S A Werner & J J Rhyne)Random Field Ising Model Experiments: Statics and Dynamics (D P Belanger)The Random Field Enigma (Y Shapir) Readership:Condensed matter physicists. keywords:
Author: Pierluigi Contucci
Publisher: Cambridge University Press
ISBN: 0521763347
Category : Science
Languages : en
Pages : 219
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Book Description
Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.
