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About Statistical Mechanics of Disordered Systems: A Mathematical Perspective
Our mathematical understanding of the statistical mechanics of disordered systems is going through a period of stunning progress. 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, recent 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.
Detailed Information
| Author: | Anton Bovier |
|---|---|
| Publication Year: | 2006 |
| ISBN: | 9780511169113 |
| Pages: | 328 |
| Language: | English |
| File Size: | 2.299 |
| Format: | |
| Price: | FREE |
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