# Course of Theoretical Physics

## 3rd Edition

**Authors:**L. D. Landau E. M. Lifshitz

**eBook ISBN:**9781483103372

**Imprint:**Pergamon

**Published Date:**28th March 1980

**Page Count:**562

## Description

Statistical Physics, Third Edition, Part 1: Course of Theoretical Physics, Volume 5 is a 15-chapter text that covers some theoretical physics-related topics, including thermodynamics, ideal gases, phase equilibrium, and chemical reactions.

This volume deals with the properties of gases, the thermodynamics of a degenerate plasma, liquid crystals, the fluctuation theory of phase transitions, and critical phenomena. Other chapters discuss the topics of solids, symmetry of crystals, and the theory of rreducible representations of space groups as applied to physics of the crystal state. This volume also explores the fluctuation-dissipation theorem; the Fermi and Bose distributions; non-ideal gases; phase equilibrium; and solutions.

This book is of great value to theoretical physicists, researchers, and students.

## Table of Contents

- Other Titles in the Course of Theoretical Physics
- PREFACE TO THE THIRD RUSSIAN EDITION
- FROM THE PREFACES TO PREVIOUS RUSSIAN EDITIONS
- NOTATION
- Chapter 1: THE FUNDAMENTAL PRINCIPLES OF STATISTICAL PHYSICS
- Publisher Summary
- § 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

- Chapter 2: THERMODYNAMIC QUANTITIES
- Publisher Summary
- § 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

- Chapter 3: THE GIBBS DISTRIBUTION
- Publisher Summary
- § 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 ħ
- § 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

- Chapter 4: IDEAL GASES
- Publisher Summary
- § 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

- Chapter 5: THE FERMI AND BOSE DISTRIBUTIONS
- Publisher Summary
- § 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

- Chapter 6: SOLIDS
- Publisher Summary
- § 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

- Chapter 7: NON-IDEAL GASES
- Publisher Summary
- § 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

- Chapter 8: PHASE EQUILIBRIUM
- Publisher Summary
- § 81. Conditions of phase equilibrium
- § 82. The Clapeyron–Clausius formula
- § 83. The critical point
- § 84. The law of corresponding states

- Chapter 9: SOLUTIONS
- Publisher Summary
- § 85. Systems containing different particles
- § 86. The phase rule
- § 87. Weak solutions
- § 88. Osmotic pressure
- § 89. Solvent phases in contact
- § 90. Equilibrium with respect to the solute
- § 91. Evolution of heat and change of volume on dissolution
- § 92. Solutions of strong electrolytes
- § 93. Mixtures of ideal gases
- § 94. Mixtures of isotopes
- § 95. Vapour pressure over concentrated solutions
- § 96. Thermodynamic inequalities for solutions
- § 97. Equilibrium curves
- § 98. Examples of phase diagrams
- § 99. Intersection of singular curves on the equilibrium surface
- § 100. Gases and liquids

- Chapter 10: CHEMICAL REACTIONS
- Publisher Summary
- § 101. The condition for chemical equilibrium
- § 102. The law of mass action
- § 103. Heat of reaction
- § 104. Ionisation equilibrium
- § 105. Equilibrium with respect to pair production

- Chapter 11: PROPERTIES OF MATTER AT VERY HIGH DENSITY
- Publisher Summary
- § 106. The equation of state of matter at high density
- § 107. Equilibrium of bodies of large mass
- § 108. The energy of a gravitating body
- § 109. Equilibrium of a neutron sphere

- Chapter 12: FLUCTUATIONS
- Publisher Summary
- § 110. The Gaussian distribution
- § 111. The Gaussian distribution for more than one variable
- § 112. Fluctuations of the fundamental thermodynamic quantities
- § 113. Fluctuations in an ideal gas
- § 114. Poisson’s formula
- § 115. Fluctuations in solutions
- § 116. Spatial correlation of density fluctuations
- § 117. Correlation of density fluctuations in a degenerate gas
- § 119. Time correlations of the fluctuations of more than one variable
- § 120. The symmetry of the kinetic coefficients
- § 121. The dissipative function
- § 122. Spectral resolution of fluctuations
- § 123. The generalised susceptibility
- § 124. The fluctuation–dissipation theorem
- § 125. The fluctuation–dissipation theorem for more than one variable
- § 126. The operator form of the generalised susceptibility
- § 127. Fluctuations in the curvature of long molecules

- Chapter 13: THE SYMMETRY OF CRYSTALS
- Publisher Summary
- § 128. Symmetry elements of a crystal lattice
- § 129. The Bravais lattice
- § 130. Crystal systems
- § 131. Crystal classes
- § 132. Space groups
- § 133. The reciprocal lattice
- § 134. Irreducible representations of space groups
- § 135. Symmetry under time reversal
- § 136. Symmetry properties of normal vibrations of a crystal lattice
- § 137. Structures periodic in one and two dimensions
- § 138. The correlation function in two-dimensional systems
- § 139. Symmetry with respect to orientation of molecules
- § 140. Nematic and cholesteric liquid crystals
- § 141. Fluctuations in liquid crystals

- Chapter 14: PHASE TRANSITIONS OF THE SECOND KIND AND CRITICAL PHENOMENA
- Publisher Summary
- § 142. Phase transitions of the second kind
- § 143. The discontinuity of specific heat
- § 144. Effect of an external field on a phase transition
- § 145. Change in symmetry in a phase transition of the second kind
- § 146. Fluctuations of the order parameter
- § 147. The effective Hamiltonian
- § 148. Critical indices
- § 149. Scale invariance
- § 150. Isolated and critical points of continuons transition
- § 151. Phase transitions of the second kind in a two-dimensional lattice
- § 152. Van der Waals theory of the critical point

- Chapter 15: SURFACES
- Publisher Summary
- § 154. Surface tension
- § 155. Surface tension of crystals
- § 156. Surface pressure
- § 157. Surface tension of solutions
- § 158. Surface tension of solutions of strong electrolytes
- § 159. Adsorption
- § 160. Wetting
- § 161. The angle of contact
- § 162. Nucleation in phase transitions
- § 163. The impossibility of the existence of phases in one-dimensional systems

- INDEX

## Details

- No. of pages:
- 562

- Language:
- English

- Copyright:
- © Pergamon 1980

- Published:
- 28th March 1980

- Imprint:
- Pergamon

- eBook ISBN:
- 9781483103372