Statistical Mechanics of Disordered Systems: A Mathematical Perspective

Bovier, Anton

ISBN 10: 1107405335 / ISBN 13: 9781107405332

Published by Cambridge University Press 2012-07, 2012

About this Item

Seller Inventory # 6666-IUK-9781107405332

Bibliographic Details

• Title: Statistical Mechanics of Disordered Systems: A Mathematical Perspective
• Publisher: Cambridge University Press 2012-07
• Publication Date: 2012
• Language: English
• ISBN 10: 1107405335
• ISBN 13: 9781107405332
• Binding: PF
• Condition: New

About this title

Synopsis

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.

Book Description

A self-contained graduate-level introduction to the statistical mechanics of disordered systems. In three parts, the book treats basic statistical mechanics; disordered lattice spin systems; and latest developments in the mathematical understanding of mean-field spin glass models. It assumes basic knowledge of classical physics and working knowledge of graduate-level probability theory.