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Random Fields And Spin Glasses

Author: Cirano De Dominicis
Publisher: Cambridge University Press
ISBN: 9780521847834
Size: 67.90 MB
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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.

Spin Glasses And Random Fields

Author: A. Peter Young
Publisher: World Scientific
ISBN: 9810232403
Size: 25.25 MB
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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.

Rugged Free Energy Landscapes

Author: Wolfhard Janke
Publisher: Springer Science & Business Media
ISBN: 3540740252
Size: 50.47 MB
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This collection of lectures and tutorial reviews by renowned experts focusses on the common computational approaches in use to unravel the static and dynamical behaviour of complex physical systems at the interface of physics, chemistry and biology. Paradigmatic examples of condensed matter physics are spin and structural glasses and protein folding, as well as their aggregation and adsorption to hard and soft surfaces, in physico-chemical biology. Among the most prominent joint key features of the systems considered in this volume are rugged free-energy landscapes. These generate metastability and are often responsible for very slow dynamics allowing for the system to be trapped in one of the many available local minima. The challenge set forth by the authors of this volume is to provide a common basis and technical language for the (computational) technology transfer between the fields and systems considered.

Perspectives On Spin Glasses

Author: Pierluigi Contucci
Publisher: Cambridge University Press
ISBN: 0521763347
Size: 31.53 MB
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Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.

Random Walks Random Fields And Disordered Systems

Author: Anton Bovier
Publisher: Springer
ISBN: 3319193392
Size: 49.34 MB
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Focusing on the mathematics that lies at the intersection of probability theory, statistical physics, combinatorics and computer science, this volume collects together lecture notes on recent developments in the area. The common ground of these subjects is perhaps best described by the three terms in the title: Random Walks, Random Fields and Disordered Systems. The specific topics covered include a study of Branching Brownian Motion from the perspective of disordered (spin-glass) systems, a detailed analysis of weakly self-avoiding random walks in four spatial dimensions via methods of field theory and the renormalization group, a study of phase transitions in disordered discrete structures using a rigorous version of the cavity method, a survey of recent work on interacting polymers in the ballisticity regime and, finally, a treatise on two-dimensional loop-soup models and their connection to conformally invariant systems and the Gaussian Free Field. The notes are aimed at early graduate students with a modest background in probability and mathematical physics, although they could also be enjoyed by seasoned researchers interested in learning about recent advances in the above fields.

Spin Glasses A Challenge For Mathematicians

Author: Michel Talagrand
Publisher: Springer Science & Business Media
ISBN: 9783540003564
Size: 37.55 MB
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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.

Spin Glasses And Related Problems

Author: V. S. Dotsenko
Publisher: CRC Press
ISBN: 9783718650392
Size: 24.86 MB
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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

Spin Glasses

Author: K. H. Fischer
Publisher: Cambridge University Press
ISBN: 9780521447775
Size: 10.30 MB
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A comprehensive account of the theory, experimental work and computer modelling of spin glasses.

Spin Glasses And Complexity

Author: Daniel L. Stein
Publisher: Princeton University Press
ISBN: 1400845637
Size: 26.98 MB
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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.

Mean Field Models For Spin Glasses

Author: Michel Talagrand
Publisher: Springer Science & Business Media
ISBN: 9783642152023
Size: 68.64 MB
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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". This new edition will appear in two volumes, the present first volume presents the basic results and methods, the second volume is expected to appear in 2011. 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 first volume of this new and completely rewritten edition presents six fundamental models and the basic techniques to study them.