Author : K. H. Fischer
Publisher : Cambridge University Press
Page : 404 pages
File Size : 34,18 MB
Release : 1993-05-27
Category : Science
ISBN : 9780521447775
A comprehensive account of the theory, experimental work and computer modelling of spin glasses.
Author : Daniel L. Stein
Publisher : Princeton University Press
Page : 336 pages
File Size : 13,85 MB
Release : 2013-01-15
Category : Science
ISBN : 1400845637
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 : Marc Mezard
Publisher : World Scientific Publishing Company
Page : 477 pages
File Size : 11,69 MB
Release : 1987-11-01
Category : Science
ISBN : 9813103914
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 : Pierluigi Contucci
Publisher : Cambridge University Press
Page : 219 pages
File Size : 31,58 MB
Release : 2013
Category : Science
ISBN : 0521763347
Presenting and developing the theory of spin glasses for mathematical physicists and probabilists working in disordered systems.
Author : Michel Talagrand
Publisher : Springer Science & Business Media
Page : 608 pages
File Size : 19,89 MB
Release : 2003-07-11
Category : Computers
ISBN : 9783540003564
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 : A. Peter Young
Publisher : World Scientific
Page : 454 pages
File Size : 36,50 MB
Release : 1998
Category : Science
ISBN : 9810232403
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 : Hidetoshi Nishimori
Publisher : Clarendon Press
Page : 264 pages
File Size : 31,12 MB
Release : 2001
Category : Computers
ISBN : 9780198509400
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
Page : 240 pages
File Size : 24,41 MB
Release : 2006-10-26
Category : Science
ISBN : 9780521847834
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 : J A Mydosh
Publisher : CRC Press
Page : 280 pages
File Size : 33,85 MB
Release : 1993-05-13
Category : Technology & Engineering
ISBN : 9780748400386
The phase of condensed matter known as spin glasses has become a vital and productive area of research. Historically, experiment has suggested unusual effects which have brought the theoretical study of the spin Glass Problem Onto The Same Footing As The Experimental Study. Experiments in the late 1960s on magnetic alloys presented interesting effects which were difficult to explain. It took until the mid 1970s for new developments in condensed matter theory to reveal that a sharp phase transition was at the root of the phenomenon. John Mydosh tells the story of the spin glasses in a phenomenological way. He describes these materials first from the premise of an experiment, using figures and tables rather than equations and derivations. This empirical approach then leads to recent advances in finding and measuring spin glasses which closely mimic the theoretical models. The author describes spin glasses as a state of magnetic ordering in third place after ferromagnetism and antiferromagnetism. He also pays heed to the importance of amorphous or glassy materials in contemporary physics while also describing the richness of analogues with many areas of research from astrophysics via molecular evolution to zoology.
Author : V Dotsenko
Publisher : World Scientific
Page : 166 pages
File Size : 21,25 MB
Release : 1995-01-16
Category : Science
ISBN : 9814501654
This book aims to describe in simple terms the new area of statistical mechanics known as spin-glasses, encompassing systems in which quenched disorder is the dominant factor. The book begins with a non-mathematical explanation of the problem, and the modern understanding of the physics of the spin-glass state is formulated in general terms. Next, the 'magic' of the replica symmetry breaking scheme is demonstrated and the physics behind it discussed. Recent experiments on real spin-glass materials are briefly described to demonstrate how this somewhat abstract physics can be studied in the laboratory. The final chapters of the book are devoted to statistical models of neural networks.The material here is self-contained and should be accessible to students with a basic knowledge of theoretical physics and statistical mechanics. It has been used for a one-term graduate lecture course at the Landau Institute for Theoretical Physics.
