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Course of Theoretical Physics, Volume 5: Statistical Physics, Third Edition, Part 1 covers the fundamental principles of statistical physics and thermodynamic quantities. The book discusses the Gibbs and Maxwellian distributions; the Boltzmann distribution for ideal gases; and the Fermi and Bose distributions. Solids are tackled with regard to their application of statistical methods of calculating the thermodynamic quantities. The book describes the deviations of gases from the ideal state, conditions of phase equilibrium, solutions, and chemical reactions. The text also discusses the properties of matter at very high density; the Gaussian distribution; fluctuations of the fundamental thermodynamic quantities; and fluctuations in solids and ideal gases. The symmetry of crystals; phase transitions of the second kind and critical phenomena; and surfaces are considered as well. Students taking statistical physics and those involved in the areas of statistical physics will find the book invaluable.
Edition
Language
Place of publication
Saint Louis
United Kingdom
ISBN-13
978-1-4831-0623-6 (9781483106236)
Schweitzer Classification
Preface to the Third Russian Edition From the Prefaces to Previous Russian Editions Notation I. The Fundamental Principles of Statistical Physics § 1. Statistical Distributions § 2. Statistical Independence § 3. Liouville's Theorem § 4. The Significance of Energy § 5. The Statistical Matrix § 6. Statistical Distributions in Quantum Statistics § 7. Entropy § 8. The Law of Increase of Entropy II. Thermodynamic Quantities § 9. Temperature § 10. Macroscopic Motion § 11. Adiabatic Processes § 12. Pressure § 13. Work and Quantity of Heat § 14. The Heat Function § 15. The Free Energy and the Thermodynamic Potential § 16. Relations Between the Derivatives of Thermodynamic Quantities § 17. The Thermodynamic Scale of Temperature § 18. The Joule-Thomson Process § 19. Maximum Work § 20. Maximum Work Done by a Body in an External Medium § 21. Thermodynamic Inequalities § 22. Le Chatelier's Principle § 23. Nernst's Theorem § 24. The Dependence of the Thermodynamic Quantities on the Number of Particles § 25. Equilibrium of a Body in an External Field § 26. Rotating Bodies § 27. Thermodynamic Relations in the Relativistic Region III. The Gibbs Distribution § 28. The Gibbs Distribution § 29. The Maxwellian Distribution § 30. The Probability Distribution for an Oscillator § 31. The Free Energy in the Gibbs Distribution § 32. Thermodynamic Perturbation Theory § 33. Expansion in Powers of h § 34. The Gibbs Distribution for Rotating Bodies § 35. The Gibbs Distribution for a Variable Number of Particles § 36. The Derivation of the Thermodynamic Relations from the Gibbs Distribution IV. Ideal Gases § 37. The Boltzmann Distribution § 38. The Boltzmann Distribution in Classical Statistics § 39. Molecular Collisions § 40. Ideal Gases Not in Equilibrium § 41. The Free Energy of an Ideal Boltzmann Gas § 42. The Equation of State of an Ideal Gas § 43. Ideal Gases With Constant Specific Heat § 44. The Law of Equipartition § 45. Monatomic Ideal Gases § 46. Monatomic Gases. The Effect of the Electronic Angular Momentum § 47. Diatomic Gases With Molecules of Unlike Atoms. Rotation of Molecules § 48. Diatomic Gases With Molecules of Like Atoms. Rotation of Molecules § 49. Diatomic Gases. Vibrations of Atoms § 50. Diatomic Gases. The Effect of the Electronic Angular Momentum § 51. Polyatomic Gases § 52. Magnetism of Gases V. The Fermi and Bose Distributions § 53. The Fermi Distribution § 54. The Bose Distribution § 55. Fermi and Bose Gases Not in Equilibrium § 56. Fermi and Bose Gases of Elementary Particles § 57. A Degenerate Electron Gas § 58. The Specific Heat of a Degenerate Electron Gas § 59. Magnetism of an Electron Gas. Weak Fields § 60. Magnetism of an Electron Gas. Strong Fields § 61. A Relativistic Degenerate Electron Gas § 62. A Degenerate Bose Gas § 63. Black-Body Radiation VI. Solids § 64. Solids at Low Temperatures § 65. Solids at High Temperatures § 66. Debye's Interpolation Formula § 67. Thermal Expansion of Solids § 68. Highly Anisotropic Crystals § 69. Crystal Lattice Vibrations § 70. Number Density of Vibrations § 71. Phonons § 72. Phonon Creation and Annihilation Operators § 73. Negative Temperatures VII. Non-Ideal Gases § 74. Deviations of Gases from the Ideal State § 75. Expansion in Powers of the Density § 76. Van Der Waals' Formula § 77. Relationship of the Virial Coefficient and the Scattering Amplitude § 78. Thermodynamic Quantities for a Classical Plasma § 79. The Method of Correlation Functions § 80. Thermodynamic Quantities for a Degenerate Plasma VIII.