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| Huang K. — Introduction to Statistical Physics |
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| Предметный указатель |
 equations 15
 space 63
Absolute zero 20
Acceptor level 127
Adiabatic demagnetization 43
Adiabatic process 6 16
Annihilation operator 141
Anomalous dimension 201
Avogadro’s number 7
Binomial distribution 242
Binomial theorem 242
Black-body, cavity 133
Black-body, radiation 132
Bogolubov spectrum 225
Boltzmann factor S 3
Boltzmann's constant 7
Bose — Einstein condensate 146 205
Bose — Einstein condensate, fluctuations of 187
Bose — Einstein condensation 145
Bose, distribution 110 112
Bose, enhancement 135 141
Bose, function 115 154
Bose, statistics 104 110 171
Boson 104
British thermal unit (BTU) 6
Brownian motion 264
Calorie 6
Campbell's theorem 248
canonical ensemble 159
Canonical ensemble and thermodynamics 161
Canonical ensemble, energy fluctuations hi 162
Caraot, cycle 17
Caraot, engine 18
Caraot, refrigerator 18
Catastrophe theory 197
Central limit theorem 233 246
Chain rale 276
Chapman — Kolmogorov equation 260
chemical potential 39 47 112
Chemical potential of ideal gas 40 171
Clapeyron equation 48
Clausius theorem 21
Cluster integral 186
Cluster integral, Goerslve force 11
Collision time 62
Collisionless regime 89
Compressibility 7
Compressibility, adiabatic 31 94
Compressibility, isothermal 31 177
Condensate wave function 205 209
Conduction band 125
Constitutive relation 239
Cooper pair 213
Correct Boltzmann counting 160
correlation length 201
Cosmic background radiation 134
Creation operator 141
Critical, data 56
Critical, exponent 55 197
Critical, opalescence 177
Critical, point 47
Debye, function 138
Debye, model of solid 136
Debye, specific heat 137
Debye, temperature 137
Degeneracy temperature 103
Density fluctuation 175 177 226
Density matrix 166
Detailed balance 259 266
Diesel cycle 27
Diffusion constant 232
Diffusion from atomic collisions 95
Diffusion from Brownian motion 233
Diffusion from constitutive relation 239
Diffusion from random walk 71
Dirac delta function 274
Distribution function of momentum 64
Distribution function of speed 77
Donor level 127
Doppler effect 36
Efficiency 17
Effusion 89
Einstein's, model of solid 142
Einstein's, relation 235 23
Einstein's, theory of Brownian motion 231
Einstein's; theory of A and B coefficients 134
energy equation 31
Energy surface 63
Ensemble average 66 194
Ensemble of paths 253
Enthalpy 14
Entropy and lost work 34
Entropy in free expansion 34
Entropy of ideal gas from statistical definition 81
Entropy of ideal gas from thermodynamics 24
Entropy of ideal gas quantum mechanical 113
Entropy, statistical definition 67
Entropy, thermodynamic definition 23
Equal a priori probability, assumption of 66
Equation of continuity 92
Equation of quantum gases 115
Equation of state 3
Equilibrium conditions at constant P, T 38
Equilibrium conditions at constant V, T 37
Equilibrium conditions for isolated system 36
Equipartition of energy 76 87 139 227
Ergodic hypothesis 65
Ergodicity failure of 189
Error function 86
Euler’s equation 92
Exact differential 275
Extensive property 2
False vacuum 12
Fermi, distribution 110 112
Fermi, energy 120
Fermi, function 115 279
Fermi, statistics 104 109
Fermi, temperature 121
Fermion 104
Fermi’s Golden Rule 260
Ferromagnet 9
First law of thermodynamics 8
First law of thermodynamics, statistical derivation of 81
Fluetuation-dissipation theorem 199 227
Fluetuation-dissipation theorem, 235 238 265
Flux of particles 75 90
Fokker — Planck equation 239 262
Fourier expansion 254
Fractal dimension 231
Free energy 37
Free energy of ideal gas 40
Free energy, minimization 38 54 164
Free expansion 14
Fugacity 112
Functional integral 194
Gas constant 7
Gauge invariance, global 206
Gaussian; distribution 244
Gaussian; distribution, integral 74
Gibbs potential 38
Ginsburg — Landau theory 193 205 213
Goldstone mode 188 207 225
grand canonical ensemble 173
Grand canonical ensemble and thermodynamics 175
Grand partition function 174
Gravitational constant 12
Gross — Pitaevsky equation 208
Gruneisen's constant 143
Hanbury — Brown and Twiss, experiment of 181
Harmonic oscillator, quantum-mechanical 141
| Heat bath S Heat bath method 269
heat capacity 6
Heat capacity at constant pressure 15 40
Heat capacity at constant volume 7 15 40 80
Heat capacity of magnetic systems 42 43
Heat conduction 96
Heat equations 14
Heat reservoir 8
Heat transfer 5
hole 124
Hydrodynamic equations, non-viscous 93
Hydrodynamic regime 89 91
Hysteresis 9
Ideal-gas law 7
Ideal-gas law, derived in grand canonical ensemble 178
Ideal-gas law, derived via atomic collisions 76
Inflationary universe 11
Intensive property 2
Internal energy 8
Internal of ideal gas 31 80
Ising model 189
Ising model, computer slmalation 268
Ising model, transition temperature 273
Isobaric process 6
Isotheraial process 6
Jahn — Teller phase transition 171
Josephson junction 216
Joule's free expansion experiment 14
Lagrange multiplier 69 277
Lambda transition 152
Landau free energy 193 205
Langevin equation 262
Latent heat 46 49
Latent heat of liquid He 3 57
Law of Du long an d Petit 139
Legendre transformation 38
liquid helium 152
Liquid helium, specific heat data 155
Lorentzian distribution 257
Macroscopic occupation 145
Magnetic field 9
Magnetic fiux quantum 215
Markov process 260
Maxwell — Boltzmann distribution 70
Maxwell — Boltzmann distribution for relativistic gas 86
Maxwell — Boltzmann distribution with external potential 85
Maxwell — Boltzmann distribution, local 91
Maxwell, construction 54 57
Maxwell, demon 91
Maxwell, relations 39
Mean free path 60
Mean-field approximation 191 196
Meissner effect 214
Metropolis algorithm 267
Microcanonlcal ensemble 66 105 155
Microcanonlcal ensemble and thermodynamics 158
Mobility 235
Most probable, distribution 68
Most probable, spoce 63
Most probable, velocity 79
n-sphere, surface area of 71
n-sphere, volume of 71
Navler — Stokes equation 99
Newton’s constant 12
NLSE (see “Nonlinear Schroedinger equation”)
Nonlinear Schroedinger equation 200 208 224
Normal distribution 244
Nyquist theorem 228
Occupation number, fluctuations of 82
Occupation number, for classical gas 64 1
Occupation number, for quantum gas 106
Order parameter 189 190 195
Otto cycle 27
P — T diagram of phase boundaries 47 49
P — V diagram for ideal gas 3
P — V diagram of first-order transition 46
Pair creation 182
Paramagnet 9
Particle reservoir 174
Partition function 160
Partition function and thermodynamics 161
Partition function for atom 117
Partition function, quantum-mechanical 167
Pauli exclusion principle 106
Penetration depth 214
Periodic boundary condition 278
Phase space 62
Phase transition, first-order 45
Phase transition, second-order 45 58
Phonon 136
Photon 132
Planck distribution 133
Poisson distribution 243
Power spectrum 255
Pressure 3
Pressure from atomic collisions 75
Pressure of quantum gases 112 116
Pressure tensor 98
probability 241
Probability of a path 271
Probability, joint 253
Probability, path-integral representation 272
Purely random process 260
Quantum degeneracy 119
Quasiparticle 152
Random phase, assumption of 166
Random telegraph signals 271
Random walk 32
Randomness 241
Rayleigh probability density 250
Relaxation time 1
Representative point 63
Reynolds number 99
Rms velocity 78
Roton 154
Sacker — Tetrode equation 25 165
Scattering length 206
Second law of thermodynamics 18
Second law of thermodynamics, alleged violation of 28
Second law of thermodynamics, Claudius statement of 18
Second law of thermodynamics, Kelvin statement of 1
Second law of thermodynamics, statistical derivation of 81
Second virial coefficient 51
Second virial coefficient of Ne 58
Semiconductor, natural 125
Semiconductor, natural, n-type 127
Semiconductor, natural, p-type 127
Shot noise 247
Slater determinant 106
Smoluchowski equation 260
Soliton 224
Sound velocity 95
Sound velocity of ideal gas 100
Sound wave 93 100
Specific heat 6
Spin 107
Spin wave 189
Spontaneous emission 135
Spontaneous symmetry breaking 188 191
SQUID (Superconducting Quantum Interference Device) 220
Stationary ensemble 253
Statistical ensemble 65
Statistical ensemble, quantum-mechanical 166
Stefan's constant 133
Stimulated emission 135
Stirling approximation 69 275
Stochastic variable 241
Stoichiometric coefficient 185
STP (standard temperature and pressure) 60
streamline 91
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