Perspectives on Spin Glasses

By: Pierluigi Contucci, Cristian GiardinÃ

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Hardcover | 18 October 2012

At a Glance

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217 Pages

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24.77 x 17.15 x 1.4

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Presenting and developing the theory of spin glasses as a prototype for complex systems, this book is a rigorous and up-to-date introduction to their properties. The book combines a mathematical description with a physical insight of spin glass models. Topics covered include the physical origins of those models and their treatment with replica theory; mathematical properties like correlation inequalities and their use in the thermodynamic limit theory; main exact solutions of the mean field models and their probabilistic structures; and the theory of the structural properties of the spin glass phase such as stochastic stability and the overlap identities. Finally, a detailed account is given of the recent numerical simulation results and properties, including overlap equivalence, ultrametricity and decay of correlations. The book is ideal for mathematical physicists and probabilists working in disordered systems.

Industry Reviews

'This is a dense and concise review about a large spectrum of topics, related to equilibrium statistical mechanics of disordered systems, in particular spin glasses, on which the Authors have given recent relevant contribution ... rigorous, but quite simple, with complete details filled in great clarity.' Journal of Statistical Physics

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You Can Find This Book In

Non-Fiction Science Physics Electricity Materials & States of Matter Statistical Physics

Origins, models and motivations
Correlation inequalities
The infinite-volume limit
Exact result for mean field models
Spin glass identities
Numerical simulations
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Perspectives on Spin Glasses

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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