Author : Pierluigi Contucci
Publisher : Cambridge University Press
Page : 219 pages
File Size : 29,30 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 : K. H. Fischer
Publisher : Cambridge University Press
Page : 404 pages
File Size : 14,97 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 : 14,21 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 : Cirano De Dominicis
Publisher : Cambridge University Press
Page : 240 pages
File Size : 27,76 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 : Hidetoshi Nishimori
Publisher : Clarendon Press
Page : 264 pages
File Size : 17,14 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 : Daniel L Stein
Publisher : World Scientific
Page : 277 pages
File Size : 32,89 MB
Release : 1992-08-11
Category : Science
ISBN : 9814507776
This volume is an introduction to the application of techniques developed for the study of disordered systems to problems which arise in biology. Topics presented include neural networks, adaptation and evolution, maturation of the immune response, and protein dynamics and folding. This book will appeal to students and researchers interested in statistical and condensed matter physics, glasses and spin glasses, and biophysics.
Author : A. Peter Young
Publisher : World Scientific
Page : 454 pages
File Size : 33,58 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 : Jan Leonard Hemmen
Publisher : Springer
Page : 376 pages
File Size : 49,96 MB
Release : 1983-12
Category : Computers
ISBN :
Author : Dmitry Panchenko
Publisher : Springer Science & Business Media
Page : 164 pages
File Size : 20,59 MB
Release : 2013-02-26
Category : Mathematics
ISBN : 1461462894
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 : Giorgio Parisi
Publisher : Cambridge University Press
Page : 341 pages
File Size : 43,50 MB
Release : 2020-01-09
Category : Science
ISBN : 1108126103
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.
