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| Авторизация |
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| Kubo R., Toda M., Hashitsume N. — Statistical physics II. Nonequilibrium statistical mechanics |
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| Предметный указатель |
Abrikosov — Gor'kov — Dzyaloshinskii — Fradkin theorem 233 234 258
Adiabatic condition 149
Adiabatic susceptibility 149 150
Admittance 117 135 149 163 see
Admittance function, singularity of 200
Advanced Green's function see “Green's function”
Aftereffect function 114
Analytical continuation 138 207 225 233 257
Anticausality 206
Antisymmetric part of tensor 162 163
Asymptotic expansion 145
Bloch equation 128
Bloch equation, generalized 128
Bloch — De Dominicis theorem 235 238 244
Boltzmann distribution function 123
Boltzmann equation 61 90 94 191
Boltzmann equation, linearized 97
Boltzmann — Bloch (type transport) equation 197 198
Born approximation 94
Bose statistics 201 223
Boson 225 231 233
Boson field 247
Bridge part 256
Brownian motion 2 27 40 48 69 73
Brownian motion, Abel theorem 140
Brownian motion, Einstein — Ornstein — Uhlenbeck theory of 35
Brownian motion, generalized 263
Brownian motion, harmonic 21
Brownian motion, ideal 69 185
Brownian motion, of quantal oscillator 84
Brownian motion, of quantal spin 84
Brownian motion, on unit circle 44
Brownian motion, rotational 124 130
Brownian motion, statistical theory of 38
Brownian particle 2 14 19 20
Bubble 263
Burnett coefficients 201
Burnett equation 201
Burnett equation, super 201
Canonical average 205
Canonical correlation 106 148 154 155 158 170 171 188 189
Canonical correlation, of density fluctuation 174
Canonical correlation, positivity of 148
Canonical correlation, stationarity of 154
Canonical correlation, symmetry of 148
Canonical distribution 62
canonical ensemble 147
Cauchy distribution 10 45
Cauchy integral 207
Cauchy integral formula 136
Cauchy principal value 137
Causal Green's function see “Green's function”
Causality 111 138 206
Central limit theorem 9 13 28
Chain of equations of motion 208 209
Chapman — Kolmogorov equation 57
Characteristic function 10 22 24 25
Characteristic function, for normal distribution 11
Characteristic function, thermodynamic 11
Characteristic functional 25 26 28 30
Characteristic functional, of Gaussian process 25
Characteristic parameter (Kubo number) of random frequency modulation 42 49
chemical potential 174
Coarse graining (procedure) 51 69 112 19
Coarse graining (procedure), in space 50
Coarse graining (procedure), of time 50 55
Coarse graining (procedure), various levels of 202
Cole-Cole diagram 122 127
Collision, cross section of 92
Collision, duration of 106
Collision, invariant of 96
Collision, inverse 94
Collision, operator 97
Collision, term 219
Commutation relations 211 235
Complex admittance 32 36 116 131 133 136 138 143 153 164—166 170 200 204 207
Complex admittance, angular frequency dependence of 163 164
Complex admittance, magnetic field dependence of 163 164
Complex admittance, of diffusion phenomenon 134 135 144
Complex admittance, real and imaginary parts of 118
Complex admittance, relation of complex admittance to relaxation function 116
Complex admittance, relation of complex admittance to response function 116
Complex admittance, wave number dependent complex admittance 131 134
Complex conductivity 32 155
Complex dielectric function 121 126 140 183 210 213 220 221 259 262
Complex dielectric function, by Lindhard 215
Complex dielectric function, Debye-type 122 139
Complex dielectric function, Van Vleck — Weisskopf — Froehlich type 127 130 131 139
Complex dielectric function, zeros of dielectric function 221
Complex susceptibility 156
Complex susceptibility, complex magnetic susceptibility 130
Compressibility, isothermal 174
Concept of nonequilibrium 197
Conductivity 180
Conductivity, complex (electrical) 32 140
Conductivity, electronic 181 200
Conductivity, external 180
Conductivity, formula 179
Conductivity, Kubo formula for complex conductivity 55
Conductivity, local 180
Conservation laws in diagram technique 247 248
Constants of motion 157
Contraction, of density matrix 84
Contraction, of information 69 90
Correlation see “Canonical correlation” “Symmetrized
Correlation function 17 18 20—22 24 33 41 87 103 159
Correlation function, characteristic times of 105
Correlation function, computer simulation of velocity correlation function 36
Correlation function, condition of the use of classical correlation function 167
Correlation function, decay law of 188
Correlation function, higher order 198
Correlation function, long-time tail of 36 201
Correlation function, negative long tail of 105
Correlation function, of temperature fluctuation 184
Correlation function, of velocity 49—51 103
Correlation function, relation between correlation functions of true and random forces 103 105
Correlation function, spectral function for 159
Correlation function, true force correlation 104
Correlation function, vanishment of time integral of current-current correlation function 191
Correlation time 13 20 42
Correlation time, of velocity 51
Coulomb interaction 211 247
Cross correlation 18 6
Cumulant 12 23 24
Cumulant, average 52
Cumulant, correlation 201
Cumulant, fourth cumulant correlation of velocity 201
Cumulant, function 23
Current 119 154 161 168 171
Current density 172
Current density, particle 195
Current, generalized 110
Current, random 175 180
Current, systematic 175
Damping theory 72 97 99
Debye (-type) relaxation phenomena 121 123
Debye screening radius 221
Debye shielding length 129
Decay rate 186
Decoupling approximation 209 212 213 257 262
density 171
Density fluctuation, canonical correlation of 174
Density fluctuation, Langevin equation for 175
Density matrix 77 149 183
Density matrix, at thermal equilibrium 84
Density matrix, canonical 88 147 151
Density matrix, contraction of 84
Density matrix, equation of motion for 77 150
Density matrix, local equilibrium 186 190 194 195
Density matrix, long-time behavior of diagonal part of 84
| Density matrix, nonequilibrium 190 196
Density matrix, of stationary state 190 193
Density matrix, perturbational expansion of equilibrium density matrix 227
Density matrix, reduced 199
Density, expansion in powers of 94
Density, of conserved quantity 193
Description, degree of crudeness of 109
Description, incompleteness of 61
Detailed balance 6 59
Diagram technique 235 246 263
Diagram technique, at absolute zero temperature 226
Diagram, connected 241—243 245 246
Diagram, disconnected 241 243 245
Diagram, Feynman 235 240
Diamagnetic current 138 153
dielectric constant 179 180
Dielectric constant, static 121 124 221
Dielectric function 181
Dielectric function, complex 121 126 140
Dielectric function, complex Debye-type 122 131
Dielectric function, complex Van Vleck — Weisskopf — Froehlich type 127 130 131
Dielectric function, static 124
Dielectric loss 140
Dielectric relaxation 120
Dielectric relaxation, Debye-type 121
Dielectric shielding 179
Diffusion 5 143
Diffusion coefficient 134
Diffusion coefficient, generalized 183
Diffusion coefficient, nonlocal retarded 175
Diffusion coefficient, rotational 125
Diffusion constant 2 8 13 14 31 76 175 177 183
Diffusion constant, longitudinal 131
Diffusion constant, static 140
Diffusion constant, transverse 131
Diffusion equation 5 6 50 62 76 134
Diffusion equation, extended 202
Diffusion equation, fundamental solution of 135
Diffusion equation, in velocity space 29
Diffusion process 13 30 50 69 74 183
Diffusion, complex admittance for diffusion (phenomenon) 135 143 144
Diffusion, in low-dimensional fluids 201
Diffusion, non-Markovian law of 143
Disconnected diagram see “Diagram”
Disconnected part 242
Dispersion electron 182 183
dispersion relation 34 138 166 182 207
Dispersion relation, proof of 136 164 166
Displacement 146 155 169
Displacement, generalized 110
Distribution function 48 61 69 83 183
Distribution function, Boltzmann 123
Distribution function, canonical 100
Distribution function, contracted 69
Distribution function, one-particle 90 93 216 219
Distribution function, orientational 124 125
Distribution function, reduced 93 186 199
Distribution function, spatial 74
Distribution function, two-particle 93
Driving force 5
Dynamic coupling 187
Dynamic susceptibility 156 157
Dynamical coherence 44
Dyson equation 256
Dyson equation, for electric charge density Green's function 260
Dyson equation, for single-particle temperature Green's function 249 252
Dyson equation, for single-particle temperature Green's function for boson field 259
Dyson time-ordering operator 228
Effective field 176 177
Effective Hamiltonian 181
Eigenvalue problem 58 76
Einstein relation 2 6 31 37 146 183
Einstein relation, generalized 36 178
Elastic constant 140
Elastic loss 140
Electric charge density 210
Electric charge distribution 216
Electric conductivity see “Conductivity”
Electric displacement 120 138 179 182
Electric polarization 120 123 124 131 182
Elementary excitation 222 225
Energy conservation law 118
Energy current density 195
Energy density 194
Energy dissipation 31 117 140 170 171
Energy loss 131
Enskog — Chapman method 191
entropy 96 187—189
Entropy, density 95
Entropy, density of entropy flow 95
Entropy, generalized 61
Entropy, irreversible generation of 119
Entropy, irreversible production of 96
Entropy, maximum formulation 189
Equation of continuity 134
Equilibrium distribution 185
Equipartition law 21
Ergodic process 16
Ergodic process, nonergodic 16
Ergodic system 61
Ergodic theory 196 197
Expectation, equilibrium 147
Expectation, statistical 152
External conductivity 180
External line 245
External mobility 174 177 179
External parameter 146
External potential 171 172 175 177
Fermi distribution (function) 215 258
Fermi liquid, Landau's Fermi-liquid theory 97
Fermi statistics 211 213 223
Fermion 225 231 233 235
Feynman diagram 235 240 255
Feynman rules 248 260
Fick law of diffusion 134 143
Fick law of diffusion, generalized Fick law 143
Filter 17
Fluctuating force 88
Fluctuating force, spectra of 88
Fluctuation of macrovariables 185
Fluctuation-dissipation theorem (FD-theorem) 2 31 36 37 119 146 170 171
Fluctuation-dissipation theorem (FD-theorem), of the first kind 37 103 155 171
Fluctuation-dissipation theorem (FD-theorem), of the second kind 37 103 171 175
Fluctuation-dissipation theorem (FD-theorem), wider view of 171
Fokker — Planck equation 62 63 66 67 185 186
Fokker — Planck equation, applied to nonlinear problems 64
Fourier analysis 116
Fourier analysis, into superposition of running plane waves 133
Fourier coefficient 15 16 27
Fourier integral 19
Fourier series 15 231
Free energy 11
Free energy, generalized 62
Free energy, Helmholtz 147
Friction constant 5
Friction retardation 31
Friction(al) coefficient 14 31 65
Friction(al) coefficient, Kirkwood's expression of friction coefficient 105
Frictional force 5 14
Frictional force, retarded friction 37
Gaussian distribution 8 22 27 29
Gaussian law of error 8 9
Gaussian modulation 47
Gaussian process 20 22 42 53 67
Gaussian process, linear transformation of 27
Gaussian process, Markovian 68
Gaussian process, white 64
Gaussian property 27 28
Gaussian property non-Gaussian nature of critical fluctuations 27
Gaussian white noise 185
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