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9780750633727

Statistical Physics

by ;
  • ISBN13:

    9780750633727

  • ISBN10:

    0750633727

  • Edition: 3rd
  • Format: Paperback
  • Copyright: 1980-01-01
  • Publisher: Elsevier Science
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Summary

A lucid presentation of statistical physics and thermodynamics which develops from the general principles to give a large number of applications of the theory.

Table of Contents

Preface to the third Russian edition xiii
From the prefaces to previous Russian editions xv
Notation xvii
I. THE FUNDAMENTAL PRINCIPLES OF STATISTICAL PHYSICS
Statistical distributions
1(5)
Statistical independence
6(3)
Liouville's theorem
9(2)
The significance of energy
11(3)
The statistical matrix
14(7)
Statistical distributions in quantum statistics
21(2)
Entropy
23(6)
The law of increase of entropy
29(5)
II. THERMODYNAMIC QUANTITIES
Temperature
34(2)
Macroscopic motion
36(2)
Adiabatic processes
38(3)
Pressure
41(3)
Work and quantity of heat
44(3)
The heat function
47(1)
The free energy and the thermodynamic potential
48(3)
Relations between the derivatives of thermodynamic quantities
51(4)
The thermodynamic scale of temperature
55(1)
The Joule-Thomson process
56(1)
Maximum work
57(2)
Maximum work done by a body in an external medium
59(4)
Thermodynamic inequalities
63(2)
Le Chatelier's principle
65(3)
Nernst's theorem
68(2)
The dependence of the thermodynamic quantities on the number of particles
70(3)
Equilibrium of a body in an external field
73(1)
Rotating bodies
74(2)
Thermodynamic relations in the relativistic region
76(3)
III. THE GIBBS DISTRIBUTION
The Gibbs distribution
79(3)
The Maxwellian distribution
82(5)
The probability distribution for an oscillator
87(4)
The free energy in the Gibbs distribution
91(4)
Thermodynamic perturbation theory
95(3)
Expansion in powers of h
98(6)
The Gibbs distribution for rotating bodies
104(2)
The Gibbs distribution for a variable number of particles
106(3)
The derivation of the thermodynamic relations from the Gibbs distribution
109(2)
IV. IDEAL GASES
The Boltzmann distribution
111(2)
The Boltzmann distribution in classical statistics
113(2)
Molecular collisions
115(3)
Ideal gases not in equilibrium
118(2)
The free energy of an ideal Boltzmann gas
120(1)
The equation of state of an ideal gas
121(4)
Ideal gases with constant specific heat
125(4)
The law of equipartition
129(3)
Monatomic ideal gases
132(3)
Monatomic gases. The effect of the electronic angular momentum
135(2)
Diatomic gases with molecules of unlike atoms. Rotation of molecules
137(4)
Diatomic gases with molecules of like atoms. Rotation of molecules
141(2)
Diatomic gases. Vibrations of atoms
143(3)
Diatomic gases. The effect of the electronic angular momentum
146(2)
Polyatomic gases
148(4)
Magnetism of gases
152(6)
V. THE FERMI AND BOSE DISTRIBUTIONS
The Fermi distribution
158(1)
The Bose distribution
159(1)
Fermi and Bose gases not in equilibrium
160(2)
Fermi and Bose gases of elementary particles
162(4)
A degenerate electron gas
166(2)
The specific heat of a degenerate electron gas
168(3)
Magnetism of an electron gas. Weak fields
171(4)
Magnetism of an electron gas. Strong fields
175(3)
A relativistic degenerate electron gas
178(2)
A degenerate Bose gas
180(3)
Black-body radiation
183(8)
VI. SOLIDS
Solids at low temperatures
191(4)
Solids at high temperatures
195(3)
Debye's interpolation formula
198(3)
Thermal expansion of solids
201(2)
Highly anisotropic crystals
203(4)
Crystal lattice vibrations
207(4)
Number density of vibrations
211(4)
Phonons
215(3)
Phonon creation and annihilation operators
218(3)
Negative temperatures
221(4)
VII. NON-IDEAL GASES
Deviations of gases from the ideal state
225(5)
Expansion in powers of the density
230(2)
Van der Waal's formula
232(4)
Relationship of the virial coefficient and the scattering amplitude
236(3)
Thermodynamic quantities for a classical plasma
239(4)
The method of correlation functions
243(2)
Thermodynamic quantities for a degenerate plasma
245(6)
VIII. PHASE EQUILIBRIUM
Conditions of phase equilibrium
251(4)
The Clapeyron-Clausius formula
255(2)
The critical point
257(3)
The law of corresponding states
260(3)
IX. SOLUTIONS
Systems containing different particles
263(1)
The phase rule
264(1)
Weak solutions
265(2)
Osmotic pressure
267(1)
Solvent phases in contact
268(3)
Equilibrium with respect to the solute
271(3)
Evolution of heat and change of volume on dissolution
274(3)
Solutions of strong electrolytes
277(2)
Mixtures of ideal gases
279(2)
Mixtures of isotopes
281(2)
Vapour pressure over concentrated solutions
283(3)
Thermodynamic inequalities for solutions
286(3)
Equilibrium curves
289(6)
Examples of phase diagrams
295(5)
Intersection of singular curves on the equilibrium surface
300(1)
Gases and liquids
301(4)
X. CHEMICAL REACTIONS
The condition for chemical equilibrium
305(1)
The law of mass action
306(4)
Heat of reaction
310(3)
Ionisation equilibrium
313(2)
Equilibrium with respect to pair production
315(2)
XI. PROPERTIES OF MATTER AT VERY HIGH DENSITY
The equation of state of matter at high density
317(3)
Equilibrium of bodies of large mass
320(7)
The energy of a gravitating body
327(2)
Equilibrium of a neutron sphere
329(4)
XII. FLUCTUATIONS
The Gaussian distribution
333(2)
The Gaussian distribution for more than one variable
335(3)
Fluctuations of the fundamental thermodynamic quantities
338(7)
Fluctuations in an ideal gas
345(2)
Poisson's formula
347(2)
Fluctuations in solutions
349(1)
Spatial correlation of density fluctuations
350(4)
Correlation of density fluctuations in a degenerate gas
354(5)
Correlations of fluctuations in time
359(4)
Time correlations of the fluctuations of more than one variable
363(2)
The symmetry of the kinetic coefficients
365(3)
The dissipative function
368(3)
Spectral resolution of fluctuations
371(6)
The generalised susceptibility
377(7)
The fluctuation-dissipation theorem
384(5)
The fluctuation-dissipation theorem for more than one variable
389(4)
The operator form of the generalised susceptibility
393(3)
Fluctuations in the curvature of long molecules
396(5)
XIII. THE SYMMETRY OF CRYSTALS
Symmetry elements of a crystal lattice
401(2)
The Bravais lattice
403(2)
Crystal systems
405(4)
Crystal classes
409(2)
Space groups
411(2)
The reciprocal lattice
413(3)
Irreducible representations of space groups
416(6)
Symmetry under time reversal
422(5)
Symmetry properties of normal vibrations of a crystal lattice
427(5)
Structures periodic in one and two dimensions
432(4)
The correlation function in two-dimensional systems
436(2)
Symmetry with respect to orientation of molecules
438(2)
Nematic and cholesteric liquid crystals
440(2)
Fluctuations in liquid crystals
442(4)
XIV. PHASE TRANSITIONS OF THE SECOND KIND AND CRITICAL PHENOMENA
Phase transitions of the second kind
446(5)
The discontinuity of specific heat
451(5)
Effect of an external field on a phase transition
456(3)
Change in symmetry in a phase transition of the second kind
459(12)
Fluctuations of the order parameter
471(7)
The effective Hamiltonian
478(5)
Critical indices
483(6)
Scale invariance
489(4)
Isolated and critical points of continuous transition
493(5)
Phase transitions of the second kind in a two-dimensional lattice
498(8)
Van der Waals theory of the critical point
506(5)
Fluctuation theory of the critical point
511(6)
XV. SURFACES
Surface tension
517(3)
Surface tension of crystals
520(2)
Surface pressure
522(2)
Surface tension of solutions
524(2)
Surface tension of solutions of strong electrolytes
526(1)
Adsorption
527(2)
Wetting
529(2)
The angle of contact
531(2)
Nucleation in phase transitions
533(4)
The impossibility of the existence of phases in one-dimensional systems
537(2)
Index 539

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