Elementary Statistical Physics

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ISBN: 9780486435145 | 0486435148
Cover: Paperback
Copyright: 3/8/2004

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Geared toward graduate students in physics, this text covers such important topics as 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. Most sections include illustrative problems. 1958 edition.

part 1. Fundamental Principles of Statistical Mechanics

1. Review of Classical Mechanics

(4)

2. Systems and Ensembles

(4)

3. Liouville Theorem

(3)

4. The Microcanonical Ensemble

(4)

5. Entropy in Statistical Mechanics

(5)

6. Elementary Example of Probability Distribution and Entropy

(4)

7. Conditions for Equilibrium

(6)

8. Connection Between Statistical and Thermodynamic Quantities

(4)

9. Calculation of the Entropy of a Perfect Gas Using the Microcanonical Ensemble

(4)

10. Quantum Mechanical Considerations

(6)

11. The Canonical Ensemble

(6)

12. Thermodynamic Functions for the Canonical Ensemble

(7)

13. Maxwell Velocity Distribution and the Equipartition of Energy

(4)

14. Grand Canonical Ensemble

(5)

15. Chemical Potential in External Fields

(2)

16. Chemical Reactions

(3)

17. Thermodynamic Properties of Diatomic Molecules

(5)

18. Thermodynamics and Statistical Mechanics of Magnetization

(9)

19. Fermi-Dirac Distribution

(5)

20. Heat Capacity of a Free Electron Gas at Low Temperatures

(5)

21. Bose-Einstein Distribution and the Einstein Condensation

(6)

22. Black Body Radiation and the Planck Radiation Law

102

(5)

23. Density Matrix and Quantum Statistical Mechanics

107

(6)

24. Negative Temperatures

113

(4)

part 2. Fluctuations, Noise, and Irreversible Thermodynamics

25. Fluctuations

117

(8)

26. Quasi-thermodynamic Theory of Fluctuations

125

(2)

27. Review of the Fourier Integral Transform and Topics in the Theory of Random Processes

127

(6)

28. Wiener-Khintchine theorem

133

(8)

29. The Nyquist Theorem

141

(6)

30. Applications of the Nyquist Theorem

147

(6)

31. Brownian Movement

153

(4)

32. Fokker-Planck Equation

157

(2)

33. Thermodynamics of Irreversible Process and the Onsager Reciprocal Relations

159

(4)

34. Application of the Onsager Relations to Charge and Energy Transport in a Homogeneous Conductor

163

(2)

35. Principle of Minimum Entropy Production

165

(4)

part 3. Kinetic Methods and Transport Theory

36. Detailed Balance and the H-theorem

169

(4)

37. Applications of the Principle of Detailed Balance

173

(10)

38. Statistical Mechanics and the Compound Nucleus

183

(3)

39. Use of a Kinetic Equation in Relaxation Problems

186

(6)

40. Boltzmann Transport Equation

192

(4)

41. Electrical and Thermal Conductivity in an Electron Gas

196

(5)

42. Magnetoresistance

201

(4)

43. Calculation of Viscosity from the Boltzmann Equation

205

(1)

44. Kramers-Kronig Relations

206

(5)

45. Laws of Rarefied Gases

211

(4)

Appendix

A. Method of Steepest Descent

215

(2)

B. Dirichlet Discontinuous Factor

217

(2)

C. Solutions of Problems in Molecular Dynamics Using Electronic Computers

219

(3)

D. Virial Theorem

222

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Elementary Statistical Physics

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