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Methods of Statistical Physics - Tomoyasu Tanaka

Methods of Statistical Physics

Paperback Published: 23rd May 2002
ISBN: 9780521589581
Number Of Pages: 312

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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.

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'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

Laws of thermodynamics
Thermodynamic relations
The ensemble theory
System Hamiltonians
The density matrix
The cluster variation method
Infinite series representations of correlation functions
The extended mean-field approximation
The exact Ising lattice identities
Propagation of short range order
Phase transition of the two-dimensional Ising model
The gamma function
The critical exponent in the tetrahedron approximation
Programming organization of the cluster variation method
A unitary transformation applied to the Hubbard Hamiltonian
Exact Ising identities on the diamond lattice
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521589581
ISBN-10: 0521589584
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 312
Published: 23rd May 2002
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.77 x 17.78  x 1.91
Weight (kg): 0.65