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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Biggs, Norman
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge [England] ; New York : Cambridge University Press, Ã1977.
Colección:London Mathematical Society lecture note series ; 30.
Temas:
Phase transformations (Statistical physics)
Graph theory.
Transitions de phase.
SCIENCE > Mechanics > Thermodynamics.
Interactie.
Statistische mechanica.
Acceso en línea:Texto completo

MARC

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490 1 |a London Mathematical Society lecture note series ;  |v 30 
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520 |a 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 of interacting particles exhibits an abrupt change of behaviour at a certain temperature, although the local forces between the particles are thought to be smooth functions of temperature. This account discusses the theory behind a simple model of such phenomena. An important tool is the mathematical discipline known as the Theory of Graphs. There are five chapters, each subdivided into sections. The first chapter is intended as a broad introduction to the subject, and it is written in a more informal manner than the rest. Notes and references for each chapter are given at the end of the chapter. 
505 0 |a 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 
505 8 |a 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 
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650 0 |a Graph theory. 
650 6 |a Transitions de phase. 
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650 7 |a Phase transformations (Statistical physics)  |2 fast  |0 (OCoLC)fst01060410 
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650 1 7 |a Statistische mechanica.  |2 gtt 
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