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Statistical Mechanics of Disordered Systems: A Mathematical Perspective

Statistical Mechanics of Disordered Systems: A Mathematical Perspective

Paperback

Series: Cambridge Statistical and Probabilistic Mathematics, Book 18

Probability & Statistics

ISBN10: 1107405335
ISBN13: 9781107405332
Publisher: Cambridge
Published: Jul 19 2012
Pages: 328
Weight: 1.26
Height: 0.69 Width: 7.00 Depth: 10.00
Language: English
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.

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