Methods of Statistical Physics
Methods of Statistical Physics
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This text by one of the originators of the cluster variation method of statistical mechanics is aimed at second- and third-year graduate students studying such topics as the theory of complex analysis, classical mechanics, classical electrodynamics, and quantum mechanics. The central theme is that, given the Hamiltonian for a system, it is possible to calculate the thermodynamics correlation function, either numerically or through the use of infinite series. The book is self-contained, with all required mathematics included either in the text or in Appendixes. The text includes many exercises designed for self-study.
- Was the first book to describe powerful techniques for determining the correlation effects on which thermodynamic properties are based
- Presents novel formulations for the cluster variation method and its expression in terms of correlation functions
- Entirely self-contained, with all essential mathematical formulations included
Reviews & endorsements
'Each chapter in the book ends with challenging exercises for the student. The mathematics are set out clearly with a type that is clear, in a font that is easily read.' Contemporary Physics
Product details
- Published: June 2002
- Format: Paperback
- ISBN: 9780521589581
- Length: 312 pages
- Dimensions: 248 × 176 × 17 mm
- Weight: 0.658kg
- Contains: 48 b/w illus. 11 tables
- Availability: Available
Table of Contents
- 1. Laws of thermodynamics
- 2. Thermodynamic relations
- 3. The ensemble theory
- 4. System Hamiltonians
- 5. The density matrix
- 6. The cluster variation method
- 7. Infinite series representations of correlation functions
- 8. The extended mean-field approximation
- 9. The exact Ising lattice identities
- 10. Propagation of short range order
- 11. Phase transition of the two-dimensional Ising model
- Appendix 1. The gamma function
- Appendix 2. The critical exponent in the tetrahedron approximation
- Appendix 3. Programming organization of the cluster variation method
- Appendix 4. A unitary transformation applied to the Hubbard Hamiltonian
- Appendix 5. Exact Ising identities on the diamond lattice
- References
- Subject index.
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