 collision operator 509
collision operator, explicit expression for 525
Absolute temperature see "Temperature absolute"
Absorptivity 382
Accessible states 53 87
Adiabatic demagnetization 445—451
Adiabatic expansion of ideal gas 158—159
Adiabatic isolation 68
Adsorbed molecules in equilibrium with a gas 398
Atmospheres, law of 211
Be See "Bose—Einstein statistics"
Binomial distribution 10
Black body 386
Black body, radiation by 386—383
Boltzmann 4 635
Boltzmann constant 137
Boltzmann equation 525
Boltzmann equation in absence of collisions 500
Boltzmann equation in presence of collisions 509
Boltzmann equation in presence of collisions in complete form 525
Boltzmann equation in presence of collisions in complete form, linearized 536
Boltzmann equation in presence of collisions in complete form, solution by moments 536—537
Boltzmann equation in presence of collisions in complete form, solution by variational principle 537—539
Boltzmann equation in presence of collisions with relaxation time approximation 509
Boltzmann factor 205
Boltzmann factor, derivation of 202—204
Bose — Einstein statistics 346—349
Bose — Einstein statistics and counting of states 337—338
Bose — Einstein statistics and symmetry requirements 332
Bose — Einstein statistics, distribution function for 342 348
Bose — Einstein statistics, fluctuation in particle numbers 349
Bose — Einstein statistics, nature of ground state 338
Bose — Einstein statistics, partition function for 348
Bosons 332
Boyle's law 134
Brillouin function 260
Brownian motion 251 560
Brownian motion, Langevin equation 564
Brownian motion, mean velocity increment 571 602
Brownian motion, mean-square displacement 567 575—577
Brownian motion, mean-square velocity increment 575 602
Brownian motion, probability distribution for velocity 581
Calorie 141
Calorimetry see "Heat measurement
Canonical distribution 205
Canonical distribution, calculation of mean values 212—214
Canonical distribution, derivation by combinatorial argument 229—231
Carnot 3
Carnot engine 188—190
Celsius temperature scale 137
Center-of-mass motion 517—519
Central limit theorem 39
Chemical equilibrium 317—325
Chemical equilibrium, between ideal gases 319—325
Chemical equilibrium, equilibrium constant 322—324
Chemical equilibrium, general equilibrium conditions for 317—319
Chemical equilibrium, law of mass action 322—324
Chemical equilibrium, standard free energy change 322
chemical potential 313
Chemical potential and Fermi energy for FD gas 388
Chemical potential and Planck's constant 363
Chemical potential of ideal gas 322
Chemical potential, relation to Gibbs free energy 313—314
Clausius 3
Clausius — Clapeyron equation 304
Clausius — Clapeyron equation and slope of melting curve 305
Clausius — Clapeyron equation and vapor pressure 305—306
Coefficient of linear expansion 195—196
Coefficient of volume expansion 168
Coefficient of volume expansion of ideal gas 169
Coefficient of volume expansion, behavior as  170
Cold, definition of 102
Cold, relation to absolute temperature 106
Collision probabilities 463—465 see
Collision time 465
Collision time, related to scattering cross section 460—470
Compressibility 168
Compressibility of ideal gas 169
Compressibility, positive sign of 300
Conservation equations of hydrodynamics 529—531
Constraints 87—91
Continuity, equation of 530
Cooperative behavior 406
Correlation function 570
Correlation function for cross-correlation 597
Correlation function of velocity in Brownian motion 576 602
Correlation function, properties of 570—571
Correlation time 562
Critical point 198 305 311
Critical point, fluctuations near 301
Critical point, opalescence at 301
Curie temperature 432
Curie — Weiss law 433
Curie's law 208
Curie's law in general case 261
Cyclic process 35 184
D drift derivative operator 500
Darwin — Fowler method 225n
De Broglie relation 363
Debye frequency 415
Debye function 415
Debye normal mode distribution 414
Debye specific heat of solids 415
Debye specific heat of solids in low temperature limit 416—417
Debye temperature 415
Debye theory of solids 411—418
Degenerate gas 353
Degrees Kelvin 136
Degrees of freedom 51
Delta function 614—615
Delta function, integral representation of 617—618
Delta symbol, Kronecker 616
Density of states 61
Density of states for a free particle in a box 358
Density of states for ideal gas 63—66
Density of states, effect of changing external parameters 112—114
Density of states, general properties of 61 63
Detailed balance and evaporation 400
Detailed balance and Nyquist's formula 691—594
Detailed balance and radiation by hot bodies 385—388
Detailed balance conditions 550
Detailed balance, microscopic discussion of 383—384
Detailed balance, principle of 381—383
Dewar 439
Differential scattering cross section see "Scattering cross section"
Differentials, exact and inexact 79
Diffusion 483—484
Diffusion as a Random Walk 486—487
Diffusion, coefficient for dilute gas 485
Diffusion, coefficient for dilute gas, related to viscosity 486
Diffusion, coefficient for self-diffusion 484
Diffusion, coefficient related to friction constant 567
Diffusion, equation for concentration 484
Diffusion, mean-square displacement in 486—488
Diffusion, related to mobility 567
Dirac delta function see "Delta function"
dispersion 13 see
Dispersion for the random walk 16 34
Dispersion of Gaussian distribution 24
Dissociation energy of a molecule 372
Dissociation of H atom 363—365
Distribution function for molecules 263 495
Doppler broadening 285
Dulong and Petit law 254 411
Efficiency of heat engine 188
Effusion 273—278
Einstein relation between diffusion and mobility 567 601
Einstein temperature 255
Einstein theory of specific heat of solids 254—256
Elastic waves 412—414
| Electrical conductivity 488
Electrical conductivity of charged particles in a dilute gas 486
Electrical conductivity of charged particles in a dilute gas, calculation by momentum arguments 532—534 545—546
Electrical conductivity of charged particles in a dilute gas, calculation in terms of  504—506
Electrical conductivity of electrons in metals 506—507
Electrochemical cell 167—198
Electromagnetic radiation see "Radiation"
Electrons in metals 388—393
Electrons in metals, paramagnetism of 401
Electrons in metals, specific heat of 391—393 397
Electrons in metals, thermal conductivity of 482—483
Emissivity 382
Energy fluctuation 109—110 213
Energy fluctuation of ideal gas 242
Engine, Carnot 188—186
Engine, perfect 184—186
Engine, quasi-static 188
Ensemble 5
Ensemble average 561 583
Ensemble for system in uniform motion 227—229
Ensemble for system with indefinite number of particles 225—227
Ensemble, Canonical 205
Ensemble, Grand Canonical 225—227
Ensemble, microcanonical 202
Enskog equation of change 527
Enthalpy 162
Enthalpy in throttling process 180
Entropy and heat capacity 140—141
Entropy and probability 123
Entropy of ideal gas 160
Entropy of mixing 243—244 282
Entropy of monatomic ideal gas 245
Entropy, additivity of 111 217
Entropy, implications of third law 145—148
Entropy, limiting behavior as 119—121
Entropy, measurement of 142—143
Entropy, related to absorbed heat 108 115 118
Entropy, related to partition function 215
Entropy, statistical definition of 99 110
Entropy, thermodynamic calculation of 172
Equation of state 124
Equation of state for ideal classical gas 125
Equation of state for slightly nonideal gas 422
Equation of state, calculated from partition function 214
Equation of state, Van der Waals 173
Equation of state, virial expansion 183
Equilibrium 54
Equilibrium conditions between chemical components 317—391
Equilibrium conditions between phases 301—306 315—317
Equilibrium conditions for homogeneous substance 296—300
Equilibrium conditions for isolated system 284—291
Equilibrium conditions under conditions of constant T 291—294
Equilibrium conditions under conditions of constant T and p 294—296
Equilibrium constant 322—324
Equilibrium constant, calculation from first principles 363—365
Equilibrium constant, temperature dependence of 325
Equilibrium, metastable 290
Equipartition theorem 248
Ergodic ensemble 584
Ergodic ensemble, equality of ensemble end time average 585
Error function 609—610
Euler equation of hydrodynamics 531
exchange interaction 428
Exclusion principle 33
Exclusion principle and exchange energy 428
Exclusion principle and ground state of FD gas 338—339
Exclusion principle, application to homonuclear molecules 371
Extensive parameter 149
External parameter 66
FD see "Fermi — Dirac statistics"
Fermi energy 388 391
Fermi function 389—390
Fermi function, integrals involving 393—39
Fermi momentum 390
Fermi sphere 390
Fermi temperature 391
Fermi — Dirac statistics 350—351
Fermi — Dirac statistics and conduction electrons in metals 388—393
Fermi — Dirac statistics and counting of states 338
Fermi — Dirac statistics and symmetry requirements 332—333
Fermi — Dirac statistics, distribution function for 341 350
Fermi — Dirac statistics, fluctuation in particle numbers 351
Fermi — Dirac statistics, nature of ground state 339 390
Fermi — Dirac statistics, partition function for 350
fermions 333
ferromagnetism 428—434
Ferromagnetism and exchange interaction 428—429
Ferromagnetism, Curie temperature for 432
Ferromagnetism, Weiss molecular field theory of 430—434
First law of thermodynamics 82 122
Fluctuation of density 300—301
Fluctuation of energy 109—110 213 242
Fluctuation of energy of ideal gas 242
Fluctuation of gas pressure 399
Fluctuation of particle number 336—337
Fluctuation of particle number for BE statistics 349
Fluctuation of particle number for FD statistics 351
Fluctuation of particle number for MB statistics 345
Fluctuation of particle number for photons 346
Fluctuation of volume 300
Fluctuation, near critical point 301
Fluctuation-dissipation theorem 572—573 603
Fluctuation-dissipation theorem and Nyquist theorem 588—588
Fluctuation-dissipation theorem, general case 597
Flux of molecular quantities 495—497
Flux of molecules 270—273
Fokker — Planck equation 579
Fokker — Planck equation, solution for Brownian motion 580—581
Fourier analysis of random functions 582—583
Free energy, Gibbs 164
Free energy, Helmholtz 163
Free energy, related to partition function 216
Free expansion of an arbitrary gas 175—177
Free expansion of an ideal gas 155
Friction constant 563
Friction constant, expressed in terms of fluctuating force 572
Gamma function 608
Gas constant 136
Gasoline engine 200
Gaussian distribution 21—24
Gaussian distribution as general limiting case 37—40
Gaussian distribution as limiting case of binomial distribution 17—21
Gaussian integral 607
Generalized force 75
Geometric series, sum of 605—606
Gibbs 3 4 635
Gibbs free energy 164
Gibbs paradox 243—245
Gibbs — Duhem relation 315
Grand canonical distribution 226
Grand partition function 347
Grueneisen constant 436
H-theorem for dilute gas 546—547
H-theorem, general case 624—626
Harmonic oscillator, classical phase space for 55—56
Harmonic oscillator, energy levels of 49
Harmonic oscillator, mean thermal energy of 251—253
Heat 67 73
Heat bath see "Heat reservoir"
heat capacity 139—141 see
Heat engines 184—190
Heat pump 199
Heat reservoir 107
Heat, measurement of 131—133
Helmholtz free energy 163
Hot, definition of 102
Hydrogen atom, thermal ionization of 363—365
Hyperfine interaction 557
Ideal gas in classical limit 64
Ideal gas in classical limit, adiabatic processes 158—159
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