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...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2006
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| Schriftenreihe: | Cambridge series on statistical and probabilistic mathematics
18 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
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Inhaltsangabe:
- Principles of statistical mechanics
- Lattice gases and spin systems
- Gibbsian formalism for lattice spin systems
- Cluster expansions
- Gibbsian formalism and metastates
- The random-field Ising model
- Disordered mean-field models
- The random energy model
- Derrida's generalized random energy models
- The SK models and the Parisi solution
- Hopfield models
- The number partitioning problem