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Methods of Statistical Physics Tomoyasu Tanaka (Ohio University)

Methods of Statistical Physics By Tomoyasu Tanaka (Ohio University)

Methods of Statistical Physics by Tomoyasu Tanaka (Ohio University)


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Summary

This graduate-level textbook on thermal physics covers classical thermodynamics, statistical mechanics and its applications. The mathematical formulations are accessible and entirely self-contained. It is therefore the ideal companion text for graduate students studying courses on complex analysis, classical mechanics, classical electrodynamics, and quantum mechanics.

Methods of Statistical Physics Summary

Methods of Statistical Physics by Tomoyasu Tanaka (Ohio University)

This graduate-level textbook on thermal physics covers classical thermodynamics, statistical mechanics and its applications. It describes theoretical methods to calculate thermodynamic properties, such as the equation of state, specific heat, Helmholtz free energy, magnetic susceptibility and phase transitions of macroscopic systems. In addition to the more standard material covered, this book also describes powerful techniques, which are not found elsewhere, to determine the correlation effects on which the thermodynamic properties are based. Particular emphasis is given to the cluster variation method and a novel formulation is developed for its expression in terms of correlation functions. Although a basic knowledge of quantum mechanics is required, the mathematical formulations are accessible and entirely self-contained. The book will therefore constitute an ideal companion text for graduate students studying courses on the theory of complex analysis, classical mechanics, classical electrodynamics, and quantum mechanics.

Methods of Statistical Physics Reviews

'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

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.

Additional information

NPB9780521580564
9780521580564
0521580560
Methods of Statistical Physics by Tomoyasu Tanaka (Ohio University)
New
Hardback
Cambridge University Press
2002-03-14
310
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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