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Heer C.V. — Statistical Mechanics: Kinetic, Theory and Stochastic Process |
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Ïðåäìåòíûé óêàçàòåëü |
, solar atmosphere 243—244
, solar radiation 246
dilution refrigerator 367—369
, degenerate B-E gas 322
A-B lattice(s) see “Combinatorial problem”
A-B lattice(s), figure for 372 373
Absorption coefficient, atomic 62
Absorption coefficient, general definition 65
Absorption coefficient, thermal, curves of 48
Absorption coefficient, thermal, definition 46
Absorption coefficient, thermal, table of 49
Absorption coefficient, thermal, thermal radiation in matter 66
Accommodation coefficient, drag force 24
Accommodation coefficient, heat transfer 24
Acoustic power radiated by sphere 202
Acoustic waves in gases 200—204
Adiabatic cooling by rotation 276
Adiabatic demagnetization 273
Adsorption, isotherms, curves for 405
Adsorption, low pressure 404
Adsorption, table of 410
Adsorption, theory for 404—409
Affinity, electron, halogens 246
Affinity, electron, hydrogen 245—246
Arrangements, counting of 89—91
Average free path, binary collisions and 138
Average free path, circle 6
Average free path, cylinder 7
Average free path, sphere 8
Average value, general definition of 4 75
Avogadro’s law 14
Barometer formula 189
Bethe approximation 388—390.
Binary collisions 135—153
Binary collisions, inelastic, quantum 143—163
Binary collisions, laser kinetics and 148—152
Binary collisions, probability of encounter 135
Binary collisions, quantum aspects of 139—153
Binary collisions, rate of 137
Binary collisions, reduction to relative motion 117 121
Binary mixtures 355—371
Binomial distribution, probability law for 85
Binomial expansion 78
Boiling point, raising of 369—370
Boiling point, table of 330
Bolometer 490
Boltzmann distribution, general definition 258
Boltzmann H-theorem 187
Boltzmann transport equation 185
Born approximation 125
Bose distribution, generating function for 236—238
Bose — Einstein gas, fluctuations in 449
Bose — Einstein gas, mixture with Fermi gas 365—367
Bose — Einstein gas, second virial coefficient 289
Bose — Einstein statistics 237
Boyle’s law 14
Bragg — Williams 386—387
Brightness temperature 56
Brillouin scattering 566—574
Brillouin scattering, deuterium 571
Brillouin scattering, water 574
Brownian motion 417—419
Brownian motion, correlation function of 433—434
Brownian motion, granules 419
Brownian motion, spectral density of 434
Canonical ensemble, density matrix for 227
Canonical ensemble, fluctuations for 444
Canonical ensemble, generating function for 223
Canonical ensemble, probability of state and 258
Canonical ensemble, Slatersum for 228
Carnot cycle, reversible 209
Carnot engine, reversible 210
Carnot engine, theorem for 210
Carnot refrigerator, reversible 210
Central limit theorem 87—89
Chandrasekhar 109
Characteristic function, binomial 84—85
Characteristic function, binomial difference equation 87
Characteristic function, composition for mutually independent random variables 76—77
Characteristic function, coordinates of s.h.o. 520
Characteristic function, correlation and 480
Characteristic function, correlation function for line shapes 538
Characteristic function, crystal lattice coordinates 522
Characteristic function, crystal scattering and 557
Characteristic function, integral-valued random variables 75
Characteristic function, inversion of 75
Characteristic function, line shapes 481^182
Characteristic function, line shapes, for recoilless emission 520
Characteristic function, Moessbauer effect 520
Characteristic function, multidimensional 484
Characteristic function, Poisson distribution 85
Characteristic function, Poisson distribution, continuous in time 98—100
Characteristic function, random pulses 478—82
Characteristic function, random walk 79—80
Characteristic function, random walk, continuous in space and time 101
Characteristic function, spectral line broadening in gases 542
Characteristic function, thermal average for s.h.o. 520
Characteristic function, two-dimensional 480 484
Charles’ law 14
Chemical constant 331
Chemical equilibrium 240
Chemical equilibrium, general definition of 344
Chemical potential, any statistics and low density 238
Chemical potential, binary mixtures 362
Chemical potential, definition 216
Chemical potential, electrons, positrons 265
Chemical potential, equality of for phases 327
Chemical potential, external field and 217
Chemical potential, fugacity and 226
Chemical potential, general definition of 342
Chemical potential, liquid mixtures 364—365
Chemical potential, nearly ideal gases 232
Chemical potential, protons, neutrons, neutrinos 265
Chemical potential, solids 337
Chemical potential, vapor 331
Chemical reaction rates 147
Chemisorption 171
Clausius — Clapeyron equation 328—329
Clausius — Clapeyron surface-vapor 403
Cluster expansion 279—281
Collisions, elastic, dynamic aspects of classical 115—116
Collisions, elastic, geometrical aspects of classical 117—119
Collisions, elastic, integral equation for 122—123
Collisions, elastic, quantum aspects 120—131
Collisions, elastic, scattering amplitude and 123
Collisions, inelastic 143—163
Collisions, inelastic, atomic and molecular 153—154
Collisions, inelastic, chemical reaction rates 147
Collisions, inelastic, electrons with atoms and molecules 153—163
Collisions, inelastic, laser kinetics 148—152
Collisions, inelastic, nuclear fusion and 144
Collisions, inelastic, reaction kinetics 144—147
Combinatorial problem 312—A02
Combinatorial problem, Bethe 388
Combinatorial problem, Bragg — Williams 386
Combinatorial problem, entropy for 378
Combinatorial problem, generating function for 372
Combinatorial problem, high temperature expansion 377
Combinatorial problem, low temperature dispersion 376
Combinatorial problem, low temperature expansion 374—377
Combinatorial problem, one dimension 382—383
Combinatorial problem, two and four correlation 391—394
Compressibility, fluctuations and 444 448
Conditional probability 89—98
Configurational entropy 351—352
Configurations, counting of, system with constraint 89—93
Constraint, distribution law for system with 91—93
Coordinates, center of mass and relative 115
Correlation function, Brownian motion 434
Correlation function, damping and 531
| Correlation function, dielectric constant and 555
Correlation function, differentiation of 426
Correlation function, four 394
Correlation function, line shapes and 538
Correlation function, pair for Ising model 391
Correlation function, s.h.o. with small damping 431
Correlation function, space 453 455
Correlation function, spectral line broadening in gases 542
Correlation function, theory for time 423^27
Correlation function, transition rate and 529
Correlation function, velocity 557
Correlation(s), elastic scattering and 396
Correlation(s), measurement of space 452—461
Correlation(s), space spectral density 453 455
Cosine law, average free paths 6—8
Cosine law, Knudsen’s determination of 170
Cosine law, molecular chaos 9—10
Cosine law, particles, crossing surface 10
Cosine law, particles, restituted from surface 11—12
Cosine law, restitution from surface 170
Cosine law, thermal radiation 47
Critical point(s) 397—404
Critical point(s), antiferromagnet 401
Critical point(s), binary mixtures 401
Critical point(s), density curve for 399
Critical point(s), ferromagnet 401
Critical point(s), Ising model 394 398
Critical point(s), lattice gas 400
Cross section(s), atomic absorption 62
Cross section(s), atomic beam experiments for 163—164
Cross section(s), classical 118—119
Cross section(s), diffusion 131—135
Cross section(s), elastic, Born approximation and 125—127
Cross section(s), experimental, electron exchange 156
Cross section(s), experimental, electrons and hydrogen 154 155
Cross section(s), experimental, optically allowed, Na 3s-3p 156
Cross section(s), experimental, rotational excitation of 162
Cross section(s), experimental, vibrational excitation for 163
Cross section(s), phase-shifts and 125
Cross section(s), viscosity 131—135
Crystal lattice, Moessbauer effect for 522
Crystal(s), Helmholtz energy of 335 337
Crystal(s), scattering, inelastic 559—561
Cumulant expansion, cluster and 280
Cumulant expansion, Gaussian random variable 486
Cumulant expansion, osmotic pressure and 363
Cumulant expansion, pair distribution function and 294
Curie’s law 270
Dalton’s law of partial pressure 14
Damping 526—529
Damping, correlation function for 531
Damping, statistical mechanics and 529—533
Debye 335
Debye , table of 336
Debye model 334—336
Debye — Waller factor 523
Degenerate B-E and F-D gases 305—323
Delta function 420 497
Demagnetization factor 267
Dense matter 313—317
Density matrix, canonical ensemble and 227
Density matrix, electric susceptibility 503
Density matrix, sinusoidal signal 501
Density matrix, stimulated absorption or emission 501
Density matrix, time dependent 497
Density matrix, transition rate and 498
Density matrix, two state 499
Density of states, elastic waves for Al 338
Density of states, electron gas 306 310
Density of states, solids 337
Density of states, transition rates 528
Diatomic molecules, generating function for 248
Diatomic molecules, homonuclear 252—256
Diatomic molecules, thermodynamics properties 247—258
Dielectric constant, fluctuations and scattering 555
Difference equation, binomial distribution 86
Difference equation, random walk 82—83
Difference equation, random walk, characteristic function for 83
Diffusion coefficient 200
Diffusion equation, absorbing and reflecting surfaces 103
Diffusion equation, random walk and 101
Diffusion, cross section for 131—135
Diffusion, elementary theory of 181
Diffusion, theory of 198—200
Diffusion, velocity correlation function 557
Dispersion forces 158
Dispersion or variance, definition of 74
Distribution function, differential equation for f(r,v,t) 183
Distribution function, external field of force 188—189
Distribution function, nonequilibrium properties 190—197
Distribution law(s), exponential 111
Distribution law(s), integral valued random variables 74
Distribution law(s), Maxwell — Boltzmann 20 187—188
Distribution law(s), system with constraint 91—93
Distribution law(s), transport of particles 18 21
Distribution(s), binomial 84
Distribution(s), Planck 44
Distribution(s), rule of composition of 76
Doppler effect 17—18 61
Drag force, free molecular flow 23
Effusive flow 10—12
Einstein A coefficient 59
Elastic scattering, A-B lattice 395—397
Elastic scattering, coherent 460
Elastic scattering, incoherent 461
Electric susceptibility 503
Electrical circuits, random pulses and 435^40
Electrical circuits, thermal noise and 436
Electron(s), vapor pressure of metallic 340
Electron-positron thermal equilibrium 262
Energy levels, , , , 151
Energy levels, helium and neon 149
Energy, fluctuation in 444
Ensemble, Canonical 222—224
Ensemble, microcanonical 220
Enthalpy, definition 214
Entropy, accessible configurations with constraint and 93—95
Entropy, canonical ensemble and 223
Entropy, fluctuations in 448
Entropy, maximum and equilibrium 212—213
Entropy, mixing 359
Entropy, nitrogen, chart of 286
Entropy, paramagnetic salt 270
Entropy, second law and 211—213
Entropy, temperature and 212
Entropy, thermal radiation 235
Equation of state, PVT surface for 328
Equation of state, second virial coefficient 281—286
Equation of state, temperature and 206
Equation of state, Van der Waals 295
Equilibrium constant 345
Equipartition theorem 256—257
Ergodic process 485
Expectation or average value, definition of 74
Fermi distribution, generating function for 237
Fermi — Dirac gas, electrons in metals 305—312
Fermi — Dirac gas, fluctuations in 449
Fermi — Dirac gas, mixture with Bose gas 365—367
Fermi — Dirac gas, relativistic, degenerate 312
Fermi — Dirac gas, second virial coefficient 289
Fermi — Dirac gas, very dense matter 313—317
Fermi — Dirac statistics 237
First law of thermodynamics 207
First passage 106—108
Fluctuation dissipation theorem 440—442
Fluctuation(s), correlation function and 553
Fluctuation(s), correlation of 450—461
Fluctuation(s), scattering, by entropy 572
Fluctuation(s), scattering, by pressure 571
Fluctuation(s), space correlation and 454
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