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| Huang K. — Statistical Mechanics |
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| Предметный указатель |
Abramovitz, M. 243
Absolute zero 14
Absolute zero, unattainability of 27
Accommodation, coefficient of 110
Adiabatic process 4
Aharanov — Bohm effect 257
Aharanov, Y. 257
Als-Nielsen, J. 438
Anderson's equation 322
Anderson, P.W. 299 322 407
Andronikashvili, experiment of 312
Annihilation operator 483
Antiferromagnetism 349
Antiparticle 156 294
Arnold, G.P. 310
Assumption of molecular chaos: analog in BBGKY hierarchy 69
Assumption of molecular chaos: and Boltzmann's equation 89
Assumption of molecular chaos: and Boltzmann's H theorem 86
Avogadro's number 6
Baker — Campbell — Hausdorf theorem 204
Baryon conservation 154
BBGKY hierarchy 65 68
Bendt, P.J. 310
Bernoulli's equation 104
Bessel, F.W. 248
Beta brass 346
Beth, E. 224
Bethe — Peierls approximation 357
Binary alloy 346
Birgeneau, R.J. 349 411 438
Blackbody radiation 278
Blackbody radiation, entropy per photon in 302
Blatt, J.M. 233
Bloch, F. 409
Block spin: defined 441
Block spin: transformation 441 446
Bogoliubov transformation 331
Bogoliubov, N.N. 65 299 331
Bohm.D. 257
Bohr magneton 260
Boiling point, effect of solute on 46
Boltzmann transport equation: conservation theorems 99
Boltzmann transport equation: derived 62
Boltzmann transport equation: from BBGKY hierarchy 71
Boltzmann transport equation: validity of 89
Boltzmann's constant 4
Boltzmann's H theorem: analysis of 85
Boltzmann's H theorem: and second law of thermodynamics 79
Boltzmann's H theorem: stated and proved 74
Bose — Einstein condensate 298
Bose — Einstein condensation 189 286
Bose — Einstein condensation and lambda transition 293 310
Bose — Einstein condensation in imperfect gas 297
Bose — Einstein condensation, criterion for 299
Bosons 179
Bosons, momentum-space attraction between 295
Bosons, statistical attraction between 203
Boyle's law 4
Bragg — Williams approximation 240 353
Bragg, W.L. 353
Brownian motion 50
Buckingham, M.J. 302 309
Canonical ensemble: and thermodynamics 145
Canonical ensemble: defined 143
Canonical ensemble: derived with Darwin — Fowler method 193
Canonical ensemble: energy fluctuations 146
Canonical ensemble: equivalence with microcanonical 146
Carnot engine 10
Carnot's theorem 12
Centigrade degree 4
Chain relation 20
Chandrasekhar limit 253
Chandrasekhar, S. 253
Chapman, S. 105
chemical potential 32 150 154
Chiu, H.Y. 249
Circle theorem: electrostatic analog for 212
Circle theorem: statement of 210
Clapeyron equation 35
Clausius statement 10
Clausius' theorem 14
Cluster expansion: classical 213
Cluster expansion: quantum mechanical 220
Cluster integral: classical 216
Cluster integral: for quantum ideal gases 223
Cluster integral: quantum mechanical 222
Coarse-graining 453
Cohen, E.G.D. 189
Cohen, M. 329
Collision integral 68
Collision time 94
Collision: effect of 54
Collision: elastic 56
Collisionless regime 95
Compressibility: adiabatic 21 103
Compressibility: isothermal 21
Configuration integral 213
Conservation theorem 97 99
Continuity equation 101
Correct Boltzmann counting 141 144 182 200 345
Correlation function 67 394
Correlation function in Gaussian model 435 439
Correlation function, ideal Bose gas 304
Correlation function, pair 211
correlation length 395
Counting of states: for Boltzmann gas 182
Counting of states: for Bose gas 182
Counting of states: for Fermi gas 182
Coupling constant: renormalized 457
Coupling constant: unrenormalized 456
Cowley, R.A. 411
Cowling, T.G. 105
Creation operator 483
Critical dimension 437 438
Critical dimension, lower 409
Critical exponent: at tricritical point 432
Critical exponent: classical 425
Critical exponent: data for 398
Critical exponent: defined 396
Critical exponent: expressed in terms of dimensions 405
Critical exponent: in Gaussian model 436
Critical exponent: in Landau — Wilson model 464
Critical exponent: mean-field 425
Critical phenomena 392
Critical region 437
Critical surface 450
Crooker, B.C 329
Cross section: differential 57
Cross section: total 57
Crossover exponent 403
Curie temperature 341
Cyclotron frequency 255
Darwin — Fowler method 193
De Boer, J. 65 319
De Gennes, P.G. 257
De Haas — Van Alphen effect 260
De Haas, W.J. 260
Debye function 285
Debye model 283
Debye temperature 285
Degeneracy temperature 245
Density fluctuation, in grand canonical ensemble 152
Density function 128
Density matrix 174
Density operator 175
Density operator for canonical ensemble 177
Density operator for microcanonical ensemble 176
Diamagnetism 253
Diffusion equation 113
Diffusion, coefficient of 49
| Dillinger, J.R. 309
Dimension reduction 410
Dimension: anomalous 438
Dimension: canonical 438
Dimension: defined 400
Dimensional analysis 400
Distribution function 52
Distribution function, equilibrium 73
Distribution function, most probable 81
Distribution function, multi-particle 67
Divergence: infrared 434
Divergence: ultraviolet 434
Domain wall 349 409
Dorda, G. 263
Dual lattice 366
Dulong — Petit law 286
Effective mass, in incompressible flow 119
Effective range 235
Efficiency of engine 11
Effusion 95
Ehrenfest, P. 35
Einstein model 283
Einstein relation 49
Energy fluctuation, in canonical ensemble 146
Energy surface 128
Engine 10
Ensemble: canonical 177
Ensemble: Ensemble average 65 129
Ensemble: Gibbsian 62
Ensemble: grand canonical 149
Ensemble: in grand canonical ensemble 178
Ensemble: in quantum mechanics 173
Ensemble: microcanonical 80 129 173 176
Ensemble: quantum mechanical 177
Ensemble: uniform 142
Enthalpy 8
Entropy of mixing 141
Entropy of mixing and osmotic pressure 45
Entropy: and Boltzmann's H 79
Entropy: for quantum ideal gases 183
Entropy: in canonical ensemble 145
Entropy: in microcanonical ensemble 131 134
Entropy: in statistical mechanics 131
Entropy: in thermodynamics 16
Equal a priori probability, postulate of 129 172 194
Equation of state 3
Equation of state in grand canonical ensemble 152
Equation of state, cluster expansion for 218
Equation of state, ideal gas 4 6
Equation of state, magnetic, of nickel 413
Equation of state, quantum ideal gas 186
Equation of state, Van der Waals 38 40
Equation of statevirial expansion for 219
Equilibrium, thermodynamic 3
Equipartition theorem 138
Equipartition theorem, generalized 137
Ergodic theorem 65
Euler's equation 101
Extensive quantity 4
Fairbank, W.M. 309
Fermi energy 244
Fermi surface 244
Fermi temperature 245
Fermi, E. 231
fermions 179
Fermions, statistical repulsion between 203
Ferromagnetism, heuristic mean-field theory of 364
Feynman, R.P. 326 329
First law of thermodynamics: generalized 154
First law of thermodynamics: in kinetic theory 79
First law of thermodynamics: in statistical mechanics 135
First law of thermodynamics: stated 7
Fisher, M.E. 413
Fixed point 445 449
Fixed point, Gaussian 461
Fixed point, non-trivial 461
Flow diagram 445
Fluctuation-dissipation theorem 153 396
Flux quantization 256
Forrer, R. 413
Fountain effect 312
Free energy see Helmholtz free energy
Free expansion 8 18
Fugacity 151 154
Gallilean transformation 318
Gamma space 62
Gap exponent 401 402
Gas constant 6
Gauge invariance: global 300
Gauge invariance: local 322
Gauge transformation 322
Gaussian integral 420
Gaussian model 434
Gibbs free energy 22
Gibbs paradox 141
Gibbs thermodynamic potential 22
Ginzburg criterion 437
Ginzburg, V.L. 416
Glimm, J. 206
Goldstone excitation 301 406 408
Goldstone mode 406
Goldstone, J. 299 301
Gorter, C.J. 323
Gossard, A.C. 263
Grand canonical ensemble: and thermodynamics 151 152
Grand canonical ensemble: defined 149
Grand canonical ensemble: density fluctuations 152
Grand canonical ensemble: equivalence to canonical 157
Grand partition function 151
Graph 214
Graph, connected 215
Greyberg, G. 329
Greytak, T.J. 329
Griffiths, R.B. 349 430
Gropper, L. 203
Ground state wave function: absence of nodes 471
Ground state wave function: proof of non-degeneracy 471
Ground state wave function: reality of 471
Guggenheim, E.A. 397
Gunton, J.D. 302
Haber, H.E. 294
Hall effect, quantized 261
Hall resistivity 262
Halperin, B.I. 263
Hamiltonian: block-spin 448
Hamiltonian: effective, for imperfect gas 237 330
Hamiltonian: equations of motion 63
Hancock, H. 389
Hard spheres 232 314
heat capacity 4
Heat conduction equation 113
Heat flux 99
Heat reservoir 4 144
Hebral,E.N. 329
Heisenberg model 239 439
Helmholtz free energy 22
Helmholtz free energy, partition function and 144
Herring, C.H. 409
Hertzprung — Russell diagram 247
Higgs mode 406
Hohenberg, P.C. 410
Homogeneity rule 403
Homogeneity rule, block-spin transformation and 443
Huang, K. 231 233 240 296 319 326 328 329 338 407 418
Hydrodynamic regime 96
Hydrodynamics: non-viscous 101
Hydrodynamics: viscous 112
Hyperscaling 402
Ideal Bose gas: condensation 286
Ideal Bose gas: equation of state 290
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