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| Isihara A. — Statistical physics |
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| Предметный указатель |
A priori probability assumption 20 39 56
Absorption coefficient 70
Activity 61 62 124 126 170
Activity, absolute 61 62 289
Adiabatic expansion 119 120
Adiabatic process 96
Alloy 266 271
Annihilation operator 383
Antiferromagnetism 258
Autocorrelation function 199
Average speed 9 99
Average velocity 154
BBGKY hierarchy 155 197
BCS theory 428 429
Bernoulli equation 84
Bethe ansatz 335
Binary mixture 148 259
Blackbody radiation 71
Bloch's equation 280 282 362 413
Bogoliubov transformation 389
Bohr magneton 103
Bohr radius 325 383
Boltzmann equation 3 6 156 158 338
Boltzmann factor 51 285
Boltzmann H—function 6
Boltzmann relation 51
Boltzmann statistics 49 288
Boltzniann constant 33
Born — Green and Kirkwood equation 177
Bose function 88 342
Bose — Einstein condensation 84 86 106 388 421
Bose — Einstein distribution 82
Bose — Einstein gas 80 87 98 249 313 328 347 430
Bose — Einstein statistics 80 105 248 288 339 398 400 402
Boson 80 82 282 303 314 319 327 358
Bounds of free energy 147
Boyle temperature 116
Bragg — Williams theory 263 268
Brownian motion 159 182 201
Brownian particle 193 195 196 198 212
Bulk viscosity 160
Canonical distribution 33 367
canonical ensemble 52 53 280
Cauchy — Schwartz inequality 151
Chain diagram 172
Chain diagram, approximation 317
Chapman — Kolmogorov equation 206
Charged boson 327
chemical potential 61 261
Chemical potential, of solvent 150
Clausius — Mossotti formula 143
Clausius' virial theorem 18 164
Closed polygon 219
Cluster expansion 113 137 148 169 209 236 293ff 311 313 375
Cluster integral 120ff 122
Coarse grained distribution function 38 40
Coarse graining process 37 39
Collision cylinder 4 5
Collision hypothesis 4
Collision term 155 339
Compressibility 168 256 268 270
Condensation 84 86 106 136
Conductivity,electrical 69 271 352ff 369 373ff 423
Conductivity,thermal 15 16 100 340 345 346 352 355
Configurational partition function 114 121ff 125 253
Connected graph 121
Contraction 409
Convolution approximation 174
Cooperative phenomena 263
Correlation energy 304ff 392
Correlation function 160
Correlation function, density-density 169 204 266
Correlation function, space-time 203
Correlation function, spin 230
Correlation function, time 373 375
Creation operator 383
critical exponent 256ff
Critical temperature 139 253ff 428 431
Critical temperature, dip 271
Critical temperature, divergence 255 256
Critical temperature, opalescence 166
Critical temperature, slowing down 271
cross 224
Cross section 5 203 339 344 351 353
Cumulant theorem 133 (see also “Thiele's semi-invariant”)
De Haas — Van Alphen effect 101
Debye characteristic temperature 78 79 95 243
Debye function 78 79
Debye model 78 239
Debye — Huckel distribution function 136 321
Debye — Huckel distribution function, correction to 324
Debye — Huckel screening constant 135
Degenerate gas 84 343 347 388
Density fluctuation 64 167 169 266 399 424
Density matrix 278ff
Density of states 83
Detailed balance condition 7 44 156 352
dielectric constant 204 424
Dielectric constant, of plasma 398 426
Dielectric function 399 425 426
Diffusion 16 186 212 271 272 370
Diffusion, equation 185 211 212
Diffusion, in momentum space 159 200
Dipole interaction 141
Distribution function 21 33 I53ff 162 169 310ff
Distribution function, canonical 33 367
Distribution function, coarse-grained 38
Distribution function, Debye — Huckel 136 321
Distribution function, fine grained 38 40
Distribution function, frequency 77 240ff
Distribution function, phase space 21 280
Distribution function, singlet 154 157 376
Distribution function, time smoothed 198
Distribution function, triplet 316
Distribution function, Wigner 280
DNA melting 217
Doppler broadening 11
Dual lattice 220
Duality principle 221
Dulong — Petit's law 79
Dumbbell molecule 116 117
Dynamic form factor 397
Dynamic reversibility 17
Dyson's time ordering parameter 406
Eigenvalues of propagator 298 299ff
Einstein characteristic temperature 76
Einstein function 76
Einstein model 75
Einstein relation 194 370
Einstein viscosity formula 190 192
Elasticity of rubber 65
Electrical conductivity 69 271 352ff 369 373
Electron gas 134ff 320 391
Electron interaction via phonon 395
Electron phonon interaction 393
Electronic heat capacity 94
Electronic heat capacity, specific heat 94
Energy density 73 74
Energy gap 430
Ensemble 52
Ensemble, average 24 26 53 56
Ensemble, Canonical 24 26 53 56
Ensemble, Grand Canonical 57
Ensemble, microcanonical 22
Enthalpy 120
entropy 55 264
Entropy, increase 36
Entropy, statistical definition of 33 39
Equation of state, Bernoulli's 84
Equation of state, of ideal gas 8
| Equation of state, of imperfect gas 114 122ff 125 127
Equation of state, of quantum gases 74 83 84 86 92 94 292 334
Equation of state, Van der Waals 115
Equation of state, virial 164
Equipartition law 10 201 239
Ergodic hypothesis 24
Ergodic theory 24 25 200
Exchange energy 305 390
Extensive Variable 56
f-bond 121
f-sum rule 397 400
Fermi (Dirac) distribution 82 97 302 325 339 345 350 352 356 385 415
Fermi (Dirac) statistics 80 105 339 401
Fermi energy 305
Fermi function 342
Fermi gas 80 86 91 99 332 343
Fermi liquid 91 96 344
Fermi momentum 92 102 302
Fermi sphere 92
Fermion 80 82 282 302 319 325 344 415 421 423
Ferrimagnetism 214
Ferromagnclism 215 248 257 264
Fine grained distribution function 38
First law of thermodynamics 35
First order phase transition 252 428
Fluctuating force 192 197 199
Fluctuation 63 64 149
Fluctuation, spin 344
Fokker — Planck's equation 198 205ff
Fourth virial coefficient 178
Free energy, Gibbs' 35 61
Free energy, Helmholtz's 35 36 53 55 62 90 108 264
Free energy, statistical definition of 35
Free path 12
Frenkel defect 68
Frequency distribution function 240
Frequency spectrum 239ff
Friction constant (frictional coefficient) 159 192 195 370
Fugacity 61
Gamma space 37
Gibbs ensemble 53
Gibbs free energy 61
Gibbs H-theorem 31
Gibbs inequality 37 45 144
Gibbs paradox 55
Grand ensemble 57 123 311 384 406
Grand partition function 58 59 81 123 124 142 148 164 233 293 299 412 415
Grand potential 60 146 406
Green's function 211 286 361 405ff
Green's function, differential equation for 195 407 426
Green's function, lattice 245
Green's function, retarded 422ff
Green's function, temperature 425ff 423
Green's function, time 418ff
Griineisen — Bloch formula 354
Ground state energy 249 304 306 330 334 392 419
H-Theorem 6 30—32 40 42 43
H-theorem, Boltzmann's 6 17 30
H-theorem, Gibbs' 31
Hard-sphere gas 178 217
Hard-sphere gas, Bose 329
Hard-sphere gas, Fermi 332
harmonic oscillator 72 75 284 387 400
heat capacity see “Specific heat”
Heisenberg model 215 247ff
Helium-three, mixed with 4He 261
Helium-three, refrigeration 261
Helix-coil transition 217
Helmholtz free energy 35
Henry's constant 149
Henry's law 125
HNC approximation 174
Hollow space radiation 71
Ideal gas 8 36 55 56 62 64 81
Ideal gas, mixture 63 125 150
Ideal gas, solution 150
induced dipole 140
Interaction representation 413
Internal energy 34 52 53 75 87 106 107 163 264
Internal energy, of radiation 74
Internal energy, statistical definition of 34 53
Internal energy, surface 164
Intrinsic viscosity 188
Invariant part of phase space 25
Inverse collision 6
Irreducible integral 127 128
Irreversibility 39 43 156 197 198 200 360ff 366 376ff
Irreversible process 13 see
Ising lattice 214ff
Isothermal compressibility 168 256 268 270
Isotope effect 428
Joule — Thomson effect 119
Kinetic theory 3ff 18
Kirchhoff's law 71
Kirkwood — Boggs equation 180
Kramers — Kronig relations 195 365
Langevin equation 159 192 194 201
Lattice defect 68 247
Lattice dynamics 75
Lattice gas 232ff 249 263ff
Lattice vibration 75 215 239ff 387
Lattice walk 182 186
Law of corresponding states 79 116 253
Lehmann representation 416
Lennard — Jones potential 115 176
Liouville equation 22 153 155 162 196
Liouville operator 196 361
Liouville theorem 18 22 26 361
Liquid solution 148 259ff 261
Logarithmic divergence 229 255 358
Long range order 263
Lorentz group 403
Loschmidfs number 12
Magnon 248 344
Markoff chain 206
Markoff method 183 185
Markoff process 206
Master equation 43 44 377
Maxwell — Boltzmann distribution 7 12ff 192
Maxwell's law of equal areas 253
Mean ergodic theorem 25
Mean free path 12 98 99
Meissner — Ochsenfeld effect 428
Metrically indecomposable set 25 26
Microcanonical distribution 20
microcanonical ensemble 22 27
Mixed state 279
Mixture 148 259ff
Mobility 194
Molecular chaos 4 377
Moller operator 308
Most probable velocity 10
Nearest neighbor statistics 215
Neel temperature 258 259
Nernst relation 213
Neutron scattering 89 169 186 202ff 242 261
Nodal expansion 172
Nodal point 172
Normal process 354
Number of states 73 82 83 101
Number operator 383
Nyquist relation 380
One-dimensional anharmonic oscillator 70
One-dimensional gas 217
One-half power law 254
One-third power law 254 260
Onsager relations 366
Order of transition 252
Order-disorder phenomena 260 263
Ornstein — Zernike equation 174
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