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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
Relaxation (phenomenon), macroscopic law of      186 187
Relaxation (phenomenon), of density response      174
Relaxation (phenomenon), paramagnetic      130
Relaxation (phenomenon), transverse      128
Relaxation (phenomenon), when the initial condition is specified      115
Relaxation function      113 114 116 133 135 143 155 156 169 174 199
Relaxation function, Fourier transform of      117 166
Relaxation time      82 87 121 125 143
Relaxation time, longitudinal      128 130 131
Relaxation time, transverse      128 131
Resistance, complex      36
resistivity      179
Resistivity, formula      178 179
Resistivity, formula in terms of correlation function of force      106
Resistivity, of conduction electrons      105
Resonance absorption      126
Resonance absorption, of the Van Vleck — Weisskopf — Froehlich type      126
Resonance, nuclear magnetic      128
Response (continued), intrinsic instantaneous      153
Response (continued), of current      170
Response (continued), of displacement      155 169 170
Response (continued), static      115 148
Response (continued), thermodynamic      140
Response (continued), to harmonic force      115
Response (continued), to pulsed force      112 113
Response (continued), to thermal internal force      183
Response function      113 114 116 121 126 132 133 143 152 154 155 168 169 200 204
Response function, asymptotic behaviour of      20
Response function, Debye-type      124
Response function, for negative time      162 164
Response function, Fourier transform of      117 164
Response function, initial values of response function and its derivatives      158
Response function, reality of      162
Response function, with exponential damping      121
Response, current response to potential      173 176
Response, dynamic response to external force      150
Response, in isothermal condition      149
Response, instantaneous      112
Retardation function      32
Retardation kernel      190
Retardation of viscous resistance      35
Retarded friction      37 39
Retarded Green's function      see “Green's function”
Saturation phenomena      130
Screened Coulomb potential      222
Screening factor      259
Screening of external field      220
Second law of thermodynamics      124
Second sound      144
Sedimentation equilibrium      6
Self-consistent field approximation      217
Self-consistent field equation      220
Self-consistent field equation, linearized      220
Self-energy of electrons      212
Self-energy part      253
Self-energy part, irreducible      253
Self-energy part, reducible      253
Shielding (of external potential)      176 179
Shielding factor      176 179
Shielding length, Debye      179
Short-time approximation      44 45 49 50
Single-particle energy      225
Singularities at $k = 0, \omega = 0$      200
Source term added to Liouville equation      200
Spatial translation      132
Spatial translational symmetry      246
Specific heat      184
Spectral function      139 158 163 167
Spectral function, analytical continuation of      207 225 233
Spectral function, convenience of      168
Spectral function, importance of      207
Spectral function, of commutator or anticommutator      168 225
Spectral function, of correlation function      159 162
Spectral function, of Green's function      204 205 213 214 224 226 233 234
Spectral function, poles of      225
Spectral intensity      65
Spectral line shape      40
Spin diffusion      143
Spin relaxation      84
Spin resonance      84
Static admittance      117 135 149 163
Static susceptivity      174 177
Stationary process      15 16
Stationary process, stationary stochastic process      16 19
Statistical physics (mechanics), aim of      50
Statistical physics (mechanics), foundation of nonequilibrium statistical mechanics      197
Statistical physics (mechanics), fundamental logical structure of      69
Statistical physics (mechanics), fundamental problem of statistical mechanics      196
Stochastic equation      15
Stochastic equation, linear      19
Stochastic equation, stochastic differential equation      19
Stochastic equation, stochastic Liouville equation      51 52
Stochastic operator      51 57
Stochastic process      3 22 40
Stochastic variable (random operator)      3
Stochastization      196—199
Stokes law      14
Stosszahl Ansatz (assumption for the collision frequency)      92
Strong collision model      199 200
Sum rule      131 142 143 145 181 182
Sum rule, meaning of      142 181
Sum rule, moment      139 140 142
Sum rule, oscillator strength      141
Superposition principle      111 115 130
Susceptibility, adiabatic      149 150 156 157
Susceptibility, complex      156
Susceptibility, complex magnetic      130
Susceptibility, dynamic      156 157
Susceptibility, isolated      156
Susceptibility, isothermal      128 148 156 157
Susceptibility, nonlocal density      173 174
Symmetric part of tensor      162 163
Symmetrized correlation      167 168 170
Symmetrized correlation, of current      168
Symmetrized correlation, of displacement      169
Symmetry, in current response      162
Symmetry, in displacement response      163
Symmetry, of correlation function      158
Symmetry, of kinetic coefficients      184
Symmetry, time reversal      161 164
Tadpole (part)      249 250
Temperature Green's function (Matsubara — Green's function)      see “Green's function”
Thermal (internal) force      110 146 147 183 187 189
Thermal conduction      143
Thermal conductivity tensor      194
Thermal diffusivity      184
Thermal fluctuation, average regression of      184
Thermal fluctuation, in equilibrium      171
Thermal fluctuation, measure of      171
Thermal noise      2
Thermodynamic potential      229 242—244 246 253
Thermodynamic potential, relationship between thermodynamic potential and temperature Green's function      253 255
Thermodynamic susceptibility      157
Thermodynamic(al) limit      190 191 193 199 209 211 213 215 216 249
Time average      16
Time average, long-time average      193
Time reversal      94
Time reversal, time-reversal symmetry      161 164 184
Time scale of velocity change      76
Transient phenomena      129
Transition probability      4 6 7 28 29 50 56
Transition rate      62
Transition rate, for collision      82
Transport equation, conventional equation of transport      89
Transport phenomena, in highly disordered system      198
Transport phenomena, near critical points      187
True force      103—105 107 108
Uhlenbeck — Ornstein process      28
Van Hove limit      84
Van Kampen's objection      198
Variance matrix      24
Variance of displacement      30
Velocity correlation function      49—51
Vertex (part)      241 247 256
Vertex (part), exterior vertex      250
Vertex (part), lowest approximation of vertex part      257
viscosity      14
Viscosity coefficient      196
Vlasov equation      220
Vlasov equation, linearized      213
White noise      106
Wick time-ordering operator      225 228
Wiener process      1
Wiener — Khintchine theorem      17 20 33 41 158
Wigner (phase space) distribution (function)      216 219
Zero-frequency part of Heisenberg operator      156
1 2 3
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