Statistical Mechanics of Disordered Systems : A Mathematical Perspective
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Overview
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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Details
- ISBN-13: 9780521849913
- ISBN-10: 0521849918
- Publisher: Cambridge University Press
- Publish Date: June 2006
- Dimensions: 9.9 x 6.6 x 0.7 inches
- Shipping Weight: 1.7 pounds
- Page Count: 328
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