Elementary Statistical Physics

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Courier Corporation, Mar 1, 2004 - Science - 228 pages

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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Contents

Fundamental principles of statistical mechanics
1
2 Systems and Ensembles
5
3 The Liouville Theorem
9
4 The Microcanonlcal Ensemble
12
5 Entropy in Statistical Mechanics
16
6 Elementary Example of Probability Distribution and Entropy
20
7 Conditions for Equilibrium
23
8 Connection between Statistical and Thermodynamic Quantities
29
24 Negative Temperatures
111
Fluctuations noisey and irreversible thermodynamics
115
26 Quasithermodynamic Theory of Fluctuations
123
27 Review of the Fourier Integral Transform and Topics in the Theory of Random Processes
125
28 WienerKhintchine Theorem
131
29 The Nyquist Theorem
139
30 Applications of the Nyquist Theorem
145
31 Brownian Movement
151

9 Calculation of the Entropy of a Perfect Gas Using the Microcanonical Ensemble
33
10 Quantum Mechanical Considerations
37
11 The Canonical Ensemble
43
12 Thermo dynamic Functions for the Canonical Ensemble
49
13 Maxwell Velocity Distribution and the Equipartition of Energy
56
14 Grand Canonical Ensemble
60
15 Chemical Potential in External Fields
65
16 Chemical Reactions
67
17 Thermo dynamic Properties of Diatomic Molecules
70
18 Thermodynamics and Statistical Mechanics of Magnetization
75
19 FermiDirac Distribution
84
20 Heat Capacity of a Free Electron Gas at Low Temperatures
89
and the Einstein Condensation
94
and the Planck Radiation Law
100
and Quantum Statistical Mechanics
105
32 FokkerPlanck Equation
155
33 Thermodynamics of Irreversible Processes and the Onsager Reciprocal Relations
157
34 Application of the Onsager Relations to Charge and Energy Transport in a Homogeneous Conductor
161
35 Principle of Minimum Entropy Production
163
Kinetic methods and transport theory
167
37 Applications of the Principle of Detailed Balance
171
and the Compound Nucleus
181
39 Use of a Kinetic Equation in Relaxation Problems
184
40 Boltzmann Transport Equation
190
41 Electrical and Thermal Conductivity in an Electron Gas
194
42 Magnetoresistance
199
43 Calculation of Viscosity from the Boltzmann Equation
203
44 KramersKronig Relations
204
45 Laws of Rarefied Cases
209
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