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Interaction models : course given at Royal Holloway College, University of London, October-December 1976 /
This book is based on a set of lectures given to a mixed audience of physicists and mathematicians. The desire to be intelligible to both groups is the underlying preoccupation of the author. Physicists nowadays are particularly interested in phase transitions. The typical situation is that a system...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
Ã1977.
|
| Colección: | London Mathematical Society lecture note series ;
30. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Chapter 1 Preview; 1.1 Apologia; 1.2 States on a graph; 1.3 Interaction models; 1.4 Physical background; 1.5 Transition points; Notes and references; Chapter 2 Methods; 2.1 Resonant models; 2.2 The transfer matrix; 2.3 Applications of the trace formula; 2.4 Correlation functions; Notes and references; Chapter 3 Duality; 3.1 Flows on a graph; 3.2 Dual models; 3.3 The algebraic duality theorem; 3.4 Planarity and duality; 3.5 Transition points for planar graphs; Notes and references; Chapter 4 Expansions; 4.1 Graph types; 4.2 The subgraph counting problem
- 4.3 The cluster expansion4.4 Subgraph expansions revisited; 4.5 Vertex-transitive graphs; Notes and references; Chapter 5 Prospects; 5.1 Symmetry and dimensionality; 5.2 The eigenvalue method in two dimensions; 5.3 Existence of long-range order; Notes and references; Appendix A: Distributive identities; Appendix B: The Perron-Frobenius theorem; Index