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Perspectives on Spin Glasses

Perspectives on Spin Glasses
Author: Pierluigi Contucci
Publisher: Cambridge University Press
Total Pages: 219
Release: 2013
Genre: Science
ISBN: 0521763347

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Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.


Spin Glasses and Complexity

Spin Glasses and Complexity
Author: Daniel L. Stein
Publisher: Princeton University Press
Total Pages: 336
Release: 2013-01-15
Genre: Science
ISBN: 1400845637

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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.


Spin Glasses

Spin Glasses
Author: K. H. Fischer
Publisher: Cambridge University Press
Total Pages: 404
Release: 1993-05-27
Genre: Science
ISBN: 9780521447775

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A comprehensive account of the theory, experimental work and computer modelling of spin glasses.


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.


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.


Theory of Simple Glasses

Theory of Simple Glasses
Author: Giorgio Parisi
Publisher: Cambridge University Press
Total Pages: 341
Release: 2020-01-09
Genre: Science
ISBN: 1108126103

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This pedagogical and self-contained text describes the modern mean field theory of simple structural glasses. The book begins with a thorough explanation of infinite-dimensional models in statistical physics, before reviewing the key elements of the thermodynamic theory of liquids and the dynamical properties of liquids and glasses. The central feature of the mean field theory of disordered systems, the existence of a large multiplicity of metastable states, is then introduced. The replica method is then covered, before the final chapters describe important, advanced topics such as Gardner transitions, complexity, packing spheres in large dimensions, the jamming transition, and the rheology of glass. Presenting the theory in a clear and pedagogical style, this is an excellent resource for researchers and graduate students working in condensed matter physics and statistical mechanics.


Spin Glasses and Related Problems

Spin Glasses and Related Problems
Author: V. S. Dotsenko
Publisher: CRC Press
Total Pages: 266
Release: 1990
Genre: Science
ISBN: 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


The Sherrington-Kirkpatrick Model

The Sherrington-Kirkpatrick Model
Author: Dmitry Panchenko
Publisher: Springer Science & Business Media
Total Pages: 164
Release: 2013-02-26
Genre: Mathematics
ISBN: 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.


Mean Field Models for Spin Glasses

Mean Field Models for Spin Glasses
Author: Michel Talagrand
Publisher:
Total Pages: 504
Release: 2011
Genre: Spin glasses
ISBN: 9783642152030

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Spin Glasses and Complexity

Spin Glasses and Complexity
Author: Daniel L. Stein
Publisher: Princeton University Press
Total Pages: 336
Release: 2013-01-15
Genre: Mathematics
ISBN: 0691147337

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This primer builds the theory of spin glasses, starting with the real physical systems and experiments that inspired the theory.