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Kubo R., Toda M., Hashitsume N. — Statistical physics II. Nonequilibrium statistical mechanics
Kubo R., Toda M., Hashitsume N. — Statistical physics II. Nonequilibrium statistical mechanics

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Название: Statistical physics II. Nonequilibrium statistical mechanics

Авторы: Kubo R., Toda M., Hashitsume N.

Аннотация:

Statistical Physics II introduces nonequilibrium theories of statistical mechanics from the viewpoint of the fluctuation-disipation theorem. Emphasis is placed on the relaxation from nonequilibrium to equilibrium states, the response of a system to an external disturbance, and general problems involved in deriving a macroscopic physical process from more basic underlying processes. Fundamental concepts and methods are stressed, rather than the numerous individual applications.


Язык: en

Рубрика: Физика/Термодинамика, статистическая физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1985

Количество страниц: 279

Добавлена в каталог: 16.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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