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| Heer C.V. — Statistical Mechanics: Kinetic, Theory and Stochastic Process |
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| Предметный указатель |
Fluctuation(s), system with constraint and 96—97
Fluctuation(s), theory of 444—^50
Fluctuation(s), thermal motion 415
Fluctuation(s), thermal radiation 443
Fokker — Planck equation 101
Fourier integral 420
Free molecular flow 25—35
Free molecular flow, effusive flow 26
Free molecular flow, through long tube 27—29
Fugacity, definition of 226
Fusion, tables, heat of 330
Fusion, tables, temperature of 330
Galvanometer mirror, correlation function for 432—3
Game, duration of 104
Gas constant 14
Gas dynamics 182—190
Gas(es), Bose and Fermi mixtures 360—361
Gas(es), degenerate Bose — Einstein 318—323
Gas(es), high temperatures 261—263
Gas(es), ideal gas laws 14
Gas(es), line broadening curves 546 547
Gas(es), mass point 1—31
Gas(es), molecular, second virial coefficient of 291—300
Gas(es), nearly ideal 230—233
Gas(es), real or nonideul 279
Gaussian distribution, central limit theorem 88
Gaussian distribution, characteristic function for 88
Gaussian distribution, fluctuations 97
Gaussian distribution, general characteristic function for 486
Gaussian distribution, line shapes and 480 541
Gaussian distribution, Poisson distribution with large  85
Gaussian distribution, probability law for 88
Gaussian distribution, random walk for large N and 81
Generating function, Bose distribution 237
Generating function, canonical ensemble 223
Generating function, chemical equilibrium and 240
Generating function, combinatorial 372
Generating function, counting of arrangements with 89—91
Generating function, diatomic molecules 248
Generating function, distribution law with constraint 91—93
Generating function, Fermi distribution 237
Generating function, first passage 106—107
Generating function, nearly ideal gases 231
Generating function, one-dimensional combinatorial 383
Generating function, osmotic pressure and 363—364
Generating function, para and ortho hydrogen 254
Generating function, paramagnetism 266
Generating function, phonon gas 333
Generating function, photon gas 234
Generating function, thermal excitation 242
Generating function, translational 233
Gibbs function 215
Gibbs function, general definition of 342
Gibbs paradox 239
Gibbs — Duhem 343
grand canonical ensemble 224—226
Grand canonical ensemble for phases 331—332
Grand canonical ensemble, equation of state and 225
Grand canonical ensemble, fluctuations for 444
Grand canonical ensemble, generating function for 224
Grand canonical generating electron-positron gas 261
Grand canonical generating function, degenerate B-E gas 318
Grand canonical generating function, degenerate F-D gas 305
Grand canonical generating function, relativistic F-D gas 312
Grand generating or partition function, nearly ideal gases 232
H-Theorem 187
Hard sphere, second virial coefficient for 302
Heat 207
Heat capacity, A-B cubic lattice, curve for 383
Heat capacity, A-B lattice, B-W, Bethe and exact, curves for 387
Heat capacity, crystals and solids 335—336
Heat capacity, Debye curve for solids 336
Heat capacity, definition 208
Heat capacity, electronic, table of 309
Heat capacity, fluctuations and 444 448
Heat capacity, magnetic critical point, curve for 400
Heat capacity, para and ortho hydrogen 256
Heat capacity, rotational 251
Heat capacity, scattering and 572—573
Heat capacity, solid hydrogen mixtures 353
Heat capacity, vibrational 252
Heat conduction, binary collisions and 191—194
Heat conductivity of gases, elementary theory of 176
Heat transfer, free molecular flow 23—25
Helmholtz equation, space correlations and 452—453
Helmholtz function 214
Helmholtz function, crystal or solid 335 337
Helmholtz function, generating function for 224
Helmholtz function, nearly ideal gases 231
Helmholtz function, para and ortho hydrogen 254
Helmholtz function, paramagnetism 269
Helmholtz function, rotational 250
Helmholtz function, vibrational 252
Helmholtz generating function, photon gas 234—235
Impact parameter b 118
Index of refraction 584
Intensity, index of refraction 65
Intensity, radiation and photon number 43
Intensity, spectral density and 423
Interactions, dispersion energy 114
Interactions, molecular, Lennard-Jones potential 162
Interactions, repulsive forces 114
Interactions, van der Waals 114
Internal energy U 207
Ising model 379
Ising model, chains and walks 392
Ising model, closed polygon expansion 379
Ising model, combinatorial problem and 379
Ising model, dispersion 381
Ising model, dispersion, of pairs and polygons 383—385
Ising model, four correlations 394
Ising model, generating function for 379
Ising model, nature of singularity 390—395
Ising model, pair correlation 391
Joule — Thomson coefficient 284—285
Joule — Thomson coefficient, curves of 285
Kelvin temperature scale 210—211
Khinchin 73 89
Kilogram-mole 14
Kirchhoff, latent heat equation 329 339
Kirchhoff’s law for matter 66
Kirchhoff’s law for surfaces 47
Knudsen’s absolute manometer 32—33
Kronecker  function 77
Lagrange multipliers 326
Large numbers, expansion for 78
Laser(s), reaction rates in 148—152
Laser(s), self-sustained oscillator 470
Laser(s), stimulated scattering and 582
Latent heat 327
Law of corresponding states, quantum mechanical 304
Lennard-Jones 302
Lennard-Jones potential 162
Line shape,  interaction 542
Line shape, Brownian motion 556
Line shape, characteristic function and 481
Line shape, correlation function and 538
Line shape, Doppler 61
Line shape, elementary theory of 534
Line shape, gases, experiment 546
Line shape, Gaussian limit 541
Line shape, impact approximation 539
Line shape, impulses, curves for 539
Line shape, krypton, curves for 546
Line shape, Lennard-Jones interaction 546
Line shape, Ne, curves for 547
Line shape, simple models 538—540
Line shape, simple theory for Moessbauer line 521
Line shape, statistical limit 544
Line shape, wings of line 544
| Line shift 540 543
Line width, motion and 517
Line width, natural 513—515
Liquids, scattering, inelastic 563
Liquids, scattering, of visible radiation 461—468
Local field, magnetic 266—268
Long range order, curves for 388
Lorentz line shape, absorption and dispersion curve 504
Magnetic refrigerator 274
magnetic susceptibility 270
Magnetic susceptibility, density matrix for 503
Matter, very dense 313
Maxwell — Boltzmann 20 188
Maxwell — Boltzmann distribution function 188
Maxwell — Boltzmann gas mixtures 197—198
Melting point, lowering of 369—370
microcanonical ensemble 220
Microcanonical ensemble, entropy of 222
Microcanonical ensemble, number of configurations of 222
Microcanonical ensemble, temperature of 222
Mixtures, binary 355—371
Mixtures, Bose and Fermi gases 360
Mixtures, entropy of mixing 359
Mixtures, generating function for 361
Mixtures, partial molal variables 356—358
Moessbauer effect 518—526
Moessbauer effect,  , curves for 526
Moessbauer effect, crystal lattice 522
Moessbauer effect, crystals, curves for 525
Moessbauer effect, illustrative example 519
Molecular pump 31—32
Moment expansion 74
Multinomial expansion 78
Multipliers, Lagrange 326
Navier — Stokes equation 197
Negative temperature 354—355
Neutron scattering, density of crystal states 561
Neutron scattering, solid and liquid Al 563
Neutron scattering, solid and liquid Ne 564
Neutron scattering, vibrational frequencies in Al 560
Noise, resistor 436
Noise, shot 439
Noise, thermal 430
Nonideal gases 279
Nonlinear constitutive equation 502 507
Nonlinear physical systems 469^78
Nonlinear processes, density matrix and 502
Nuclear fusion 144—147
Number density, fluctuation in 444
Nyquist noise 436
Occupation number, Bose — Einstein 238
Occupation number, Fermi — Dirac 237
Occupation number, photon 235
Optical theorem 130
Oscillators, coupled self-sustained, entrainment of 474—475
Oscillators, coupled self-sustained, locking and quenching 414—A15
Oscillators, coupled self-sustained, nonlinear theory for 473^78
Oscillators, coupled self-sustained, singular points 475^176
Oscillators, self-sustained, bandwidth 472
Oscillators, self-sustained, laser model and 470
Oscillators, self-sustained, nonlinear theory of 470—473
Oscillators, self-sustained, thermal noise and 471
Osmotic pressure 362—366
Osmotic pressure,  curves for 367
Osmotic pressure, Fermi — Bose mixtures 365—367
Osmotic pressure, generating function and 363—364
Pair correlation function, general definition of 550 553
Pair correlation, fluctuations and 451
Pair correlation, space 456
Pair correlation, x-ray scattering and 457
Pair distribution function 294
Pair(s), number of A-B pairs 361
Paramagnetic ions 271 275
Paramagnetism 266—277
Partition function see “Generating function”
Phase rule 343—344
Phase rule, conservation of particles and 343—344
Phase shift method 124
Phase shift, classical angular deflection and 134
Phase shift, hard spheres 127—129
Phase shift, second virial coefficient from 298
Phase space, second virial coefficient 291—292
Phase(s), equilibrium between 326
Phase(s), grand canonical ensemble and 331—332
Phase(s), statistical aspects of equilibrium between 330—331
Phonon gas 333
Photon echoes 510
Photon gas 234—235
Photon gas, generating function for 234
Photon number, intensity 56
Photon number, temperature 56
Photon(s), definition of photon number 43
Photon(s), flux of 50
Physisorption 171
Planck 44
Planck distribution, derivation of 235
Plasmon scattering 579
Plasmon scattering, hydrogen 581
Poiseuille flow 177—178
Poisson distribution, characteristic function 85
Poisson distribution, continuous in time 98—100
Poisson distribution, particles 450
Polarization, linear and circular 60
Polygons, closed, figure for counting 380
Population extinction 104—106
Potential energy curves,  ,  ,  161
Potential energy curves, electronic for  160
Potential energy curves, physisorption and 171
Potential energy curves, surface 170
Potential energy, intermolecular 301
Potential energy, Lennard-Jones 302
Pressure, fluctuations in 448
Pressure, mass point gas 12—15
Pressure, standard atmosphere 15
Pressure, thermal radiation 48
Primeval fireball 263—264
Probability law, binomial 85
Probability law, gamma 112
Probability law, grand canonical ensemble 225
Probability law, negative binomial 110
Probability law, normal or Gaussian 111
Probability law, Poisson distribution 85
Probability law, Poisson distribution, continuous in time 98—100
Probability law, random distribution continuous in space and time 101
Probability law, random walk 80 82
Probability law, summary of 109—112
Probability law, uniform 111
Probability, canonical ensemble 223
Probability, constraint and 92
Probability, transition rate and 515
Quenching of spectral lines 244
Radiation 36—72
Radiation intensity, Lorentz transformation 69—70
Radiation pressure 48
Radiation pressure, applications of 50
Radiation temperature 56—57
Radiation temperature, velocity of observer 70
Radiation transfer 47
Radiation, electromagnetic 37^0
Radiation, intensity 39
Radiation, interactions with atom 58—63
Radiation, linear and circular polarization 60
Radiation, normal modes 40—42
Radiation, quanta 40
Radiation, random pulses and 422
Radiation, thermal 44 234 443
Radiation, transfer between two surfaces 47 53
Radiometer action 34
Raman scattering 575
Raman scattering, experimental curves 578
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