Elementary Statistical Physics

By: CHARLES KITTEL

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Paperback | 8 March 2004

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240 Pages

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20.9 x 13.6 x 1.91

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Noteworthy for the philosophical subtlety of its foundations and the elegance of its problem-solving methods, statistical mechanics can be employed in a broad range of applications - among them, astrophysics, biology, chemistry, nuclear and solid state physics, communications engineering, metallurgy, and mathematics. Geared toward graduate students in physics, this text covers such important topics as stochastic processes and transport theory in order to provide students with a working knowledge of statistical mechanics.To explain the fundamentals of his subject, the author uses the method of ensembles developed by J. Willard Gibbs. Topics include the properties of the Fermi-Dirac and Bose-Einstein distributions; the interrelated subjects of fluctuations, thermal noise, and Brownian movement; and the thermodynamics of irreversible processes.Negative temperature, magnetic energy, density matrix methods, and the Kramers-Kronig causality relations are treated briefly. Most sections include illustrative problems. Appendix. 28 figures. 1 table.

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Non-Fiction Science Physics Classical Mathematics Mathematical Physics Science in General

Fundamental Principles of Statistical Mechanics
Review of Classical Mechanics	p. 1
Systems and Ensembles	p. 5
Liouville Theorem	p. 9
The Microcanonical Ensemble	p. 12
Entropy in Statistical Mechanics	p. 16
Elementary Example of Probability Distribution and Entropy	p. 21
Conditions for Equilibrium	p. 25
Connection Between Statistical and Thermodynamic Quantities	p. 31
Calculation of the Entropy of a Perfect Gas Using the Microcanonical Ensemble	p. 35
Quantum Mechanical Considerations	p. 39
The Canonical Ensemble	p. 45
Thermodynamic Functions for the Canonical Ensemble	p. 51
Maxwell Velocity Distribution and the Equipartition of Energy	p. 58
Grand Canonical Ensemble	p. 62
Chemical Potential in External Fields	p. 67
Chemical Reactions	p. 69
Thermodynamic Properties of Diatomic Molecules	p. 72
Thermodynamics and Statistical Mechanics of Magnetization	p. 77
Fermi-Dirac Distribution	p. 86
Heat Capacity of a Free Electron Gas at Low Temperatures	p. 91
Bose-Einstein Distribution and the Einstein Condensation	p. 96
Black Body Radiation and the Planck Radiation Law	p. 102
Density Matrix and Quantum Statistical Mechanics	p. 107
Negative Temperatures	p. 113
Fluctuations, Noise, and Irreversible Thermodynamics
Fluctuations	p. 117
Quasi-thermodynamic Theory of Fluctuations	p. 125
Review of the Fourier Integral Transform and Topics in the Theory of Random Processes	p. 127
Wiener-Khintchine theorem	p. 133
The Nyquist Theorem	p. 141
Applications of the Nyquist Theorem	p. 147
Brownian Movement	p. 153
Fokker-Planck Equation	p. 157
Thermodynamics of Irreversible Process and the Onsager Reciprocal Relations	p. 159
Application of the Onsager Relations to Charge and Energy Transport in a Homogeneous Conductor	p. 163
Principle of Minimum Entropy Production	p. 165
Kinetic Methods and Transport Theory
Detailed Balance and the H-theorem	p. 169
Applications of the Principle of Detailed Balance	p. 173
Statistical Mechanics and the Compound Nucleus	p. 183
Use of a Kinetic Equation in Relaxation Problems	p. 186
Boltzmann Transport Equation	p. 192
Electrical and Thermal Conductivity in an Electron Gas	p. 196
Magnetoresistance	p. 201
Calculation of Viscosity from the Boltzmann Equation	p. 205
Kramers-Kronig Relations	p. 206
Laws of Rarefied Gases	p. 211
Appendix
Method of Steepest Descent	p. 215
Dirichlet Discontinuous Factor	p. 217
Solutions of Problems in Molecular Dynamics Using Electronic Computers	p. 219
Virial Theorem	p. 222
Table of Contents provided by Ingram. All Rights Reserved.

Elementary Statistical Physics

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