Statistical mechanics of disordered systems: a mathematical perspective
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...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2006
|
| Schriftenreihe: | Cambridge series on statistical and probabilistic mathematics
18 |
| Links: | https://doi.org/10.1017/CBO9780511616808 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiv, 312 Seiten) |
| ISBN: | 9780511616808 |
Internformat
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| illustrated | Not Illustrated |
| indexdate | 2025-03-03T11:58:03Z |
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| isbn | 9780511616808 |
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| spelling | Bovier, Anton 1957- Statistical mechanics of disordered systems a mathematical perspective Anton Bovier Cambridge Cambridge University Press 2006 1 Online-Ressource (xiv, 312 Seiten) txt c cr Cambridge series on statistical and probabilistic mathematics 18 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. Erscheint auch als Druck-Ausgabe 9780521849913 Erscheint auch als Druck-Ausgabe 9781107405332 |
| spellingShingle | Bovier, Anton 1957- Statistical mechanics of disordered systems a mathematical perspective |
| title | Statistical mechanics of disordered systems a mathematical perspective |
| title_auth | Statistical mechanics of disordered systems a mathematical perspective |
| title_exact_search | Statistical mechanics of disordered systems a mathematical perspective |
| title_full | Statistical mechanics of disordered systems a mathematical perspective Anton Bovier |
| title_fullStr | Statistical mechanics of disordered systems a mathematical perspective Anton Bovier |
| title_full_unstemmed | Statistical mechanics of disordered systems a mathematical perspective Anton Bovier |
| title_short | Statistical mechanics of disordered systems |
| title_sort | statistical mechanics of disordered systems a mathematical perspective |
| title_sub | a mathematical perspective |
| work_keys_str_mv | AT bovieranton statisticalmechanicsofdisorderedsystemsamathematicalperspective |