Statistical Mechanics of Disordered Systems

A Mathematical Perspective

By:

Anton Bovier

Format:

Paperback / softback

Series:

Cambridge Series in Statistical and Probabilistic Mathematics

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Description

This self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical understanding of mean-field spin glass models. In particular, progress towards a rigorous understanding of the replica symmetry-breaking solutions of the Sherrington-Kirkpatrick spin glass models, due to Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in some detail.

Release date Australia

July 19th, 2012

Author

Anton Bovier

Audience

Professional & Vocational

Pages

328

Series

Cambridge Series in Statistical and Probabilistic Mathematics

Dimensions

178x254x17

ISBN-13

9781107405332

Product ID

19865523

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