Statistical Mechanics of Disordered Systems
A Mathematical Pespective
Anton Bovier - Collection Cambridge series in statistical and probabilistic mathematics
Résumé
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.
Sommaire
- Preface
- Nomenclature
- Statistical Mechanics
- Disordered Systems: Lattice Models
- Disordered Systems: Mean-Field Models
- References
- Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Cambridge University Press |
| Auteur(s) | Anton Bovier |
| Collection | Cambridge series in statistical and probabilistic mathematics |
| Parution | 06/06/2006 |
| Nb. de pages | 312 |
| Format | 18 x 25,5 |
| Couverture | Relié |
| Poids | 801g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780521849913 |
| ISBN13 | 978-0-521-84991-3 |
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