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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
Generalized hydrodynamics      200 201
Gibbs — Duhem relation      174
Golden Rule      89
grand canonical ensemble      223
Grand canonical partition function      228
Graphical summation      246 255
Green — Kubo formula      187
Green's function      158 203 209
Green's function, advanced      206
Green's function, auxiliary      223 224
Green's function, boundary condition for      208 226 231
Green's function, causal      225 226 229 231
Green's function, density      180
Green's function, double-temperature      234 235 257
Green's function, double-time      207 232—234 262
Green's function, electric charge density      260
Green's function, equation of motion for (double-time) Green's function      208 212 214 219 226 255
Green's function, four groups of      203
Green's function, Fourier analysis of temperature Green's function      230
Green's function, Fourier coefficient of temperature Green's function      232 234 246 258
Green's function, Fourier transform of equation of motion for      214
Green's function, Fourier transformation of      232—234
Green's function, many-particle      203
Green's function, multiparticle      234
Green's function, of anticommutator or commutator type      205 206 223
Green's function, of product type      205
Green's function, quadruple-temperature      235
Green's function, quadruple-time      235
Green's function, retarded      204 207 210 217
Green's function, single-particle      215 222 223 233
Green's function, single-particle Green's function for boson field      247
Green's function, single-particle Green's function for free particle      224
Green's function, single-particle temperature Green's function      232 244 246 249 254 258
Green's function, single-particle temperature Green's function for boson field      259
Green's function, temperature      229 231 25
Green's function, two-particle      234
Green's function, two-particle temperature Green's function      253—255
Green's function, unperturbed single-particle      240
Green's method      187
Gross variable      187
gyromagnetic ratio      128
H-function      59—61 96
H-Theorem      59 95
Half-width      127
Hamiltonian equations of motion      153 198
Harmonic analysis      15 19 67 116
harmonic oscillator      68
Harmonic oscillator, average energy of      168
Hartree approximation      213
Heat bath, comment on two systems in contact with      89
Heat bath, system in contact with      62 84
heat capacity      150 157
Heat conduction      143
Heat conductivity tensor      184
heat dissipation      119
Heat dissipation, positivity of      119
Heaviside unit step function      113
Heisenberg equation of motion      98 106 208
Heisenberg operator      87 152
Heisenberg — Kramers dispersion formula      197
Hermitian polynomial      76
Hidden variable      70
Hierarchy of equations      93
Hilbert transformation      138
Hydrodynamic backflow effect      35 201
Hydrodynamic equation, validity of      201
Hydrodynamics, generalized      200
Idealization, levels of      5
Identity, for exponential operators      148
Identity, Kubo      154
Impedance, complex      36
In-phase component      117
Indecomposable set of states      60
Induced current      183
Induced space charge      180
Inner product (of operators)      99
Integral of motion, local      193
Integrodifferential equation      63
Intensity of noise      17
Intensity spectrum      17
Interaction, direction of interaction line      247
Interaction, effective      259
Interaction, line      241
Interaction, magnitude of      82
Interaction, range of      82
Interaction, representation      80
Interaction, representation of interaction by a boson field      247 258
Interference effect      111
Interior line      244
Internal Field      171
Interpolation formula      142
Invariant of motion, quasi-invariant of motion      193
Invariant part (of operator)      193
Ionic polarization      128
Irreversible process, linear      111
Irreversible thermodynamics      110 163
Isothermal susceptibility      128
Ito — McKean interpretation of stochastic differentials      65
Jellium model      172
Kinetic coefficient      111 112 133 163 171 184 186 187
Kinetic equation      199 200 216 263
Kinetic equation, linearized      219
Kinetic method      197
Kinetic method, versus linear response theory      196
Kinetic stage      219
Kinetic viscosity      35
Kirkwood formula, generalization of      157 186
Kirkwood formula, Kirkwood's expression of friction coefficient      105
Kirkwood formula, Kirkwood's expression of static admittance      149
Klimontovich operator      216
Kramers equation      55 84 89 124 130
Kramers — Kronig relations      138 181
Kubo formula      154 170
Kubo formula, of conductivity      155
Kubo identity      154
Landau damping constant      221
Langevin equation      15 20 28 31 37 52 64 68 103 175 185 190
Langevin equation, generalized      31 33 64 66 97 107
Langevin equation, nonlinear      68
Langevin — Debye equation      124
Langmuir plasma frequency      215
Larmor frequency      48 131
Larmor precession      48 131
Laser physics      84
Legendre polynomial      125
Line shape of spectrum      40 45
Line shape of spectrum, Gaussian shape      43
Line shape of spectrum, Lorentzian shape      45 47
Linear relation      111 133 204
Linear relation, Fourier transform of      116
Linear relation, non-Markovian nonlocal      132
Linear relation, of non-Markovian form      112
Linear response formula      199
Linear response theory      103 119 197 199
Linear response theory, kinetic method versus      196
Linear response theory, statistical mechanics of      146
Linearization      197 199
Liouville equation      51 77 86 93 186 198
Liouville equation, in velocity space      52
Liouville equation, quantal      84
Liouville equation, stochastic      51 52
Liouville operator      70 98 151 153
Liouville operator, exponential operator of quantal Liouville operator      151
Liouville operator, quantal      150 190
Local conductivity      180
Local field      177 179
Local field correction      177
Local field potential      176
Local integral of motion      193
Long-time approximation      45 47 49 50
Lorentzian distribution      45
Macroscopic linearity      198
Macrovariable      185 187
Macrovariable, fluctuation of macrovariables      185
Markovian condition      56
Markovian condition, time range of Markovian description      77
Markovian law      112
Markovian process      7 22 40 47 53 55 62
Markovian process, ergodic      59
Markovian process, induced by binary collisions      81
Markovian process, nonstationary      64
Markovian process, stationary      57 58
Markovian process, uniform      83
Mass flow      195
Mass operator      250 252 253
Mass operator, relationship between mass operator and two-particle Green's function      254
Master equation      61 69 82 83 93
Master equation, derivation of      77
Matsubara formula      242 244
Matsubara — Green's function      see “Green's function”
Maxwell — Boltzmann distribution      215 222
Maxwellian distribution of velocity      30 55 67 73 96
Mean field potential      219
Mean free path      14 49 50 75 132
Mean free time      14 106
Mechanical force      110
Memory, duration time of      72
Memory, function      72
Memory, time      72
Method of graphical summation      246
Microscopic linearity      198
Mobility      6 103
Mobility, complex      32 36
Mobility, external      174 177 179
Mobility, external nonlocal mobility tensor      173
Mobility, local mobility (tensor)      175 177
Modeling, stages of      61
Molecular collisions      61
Molecular field approximation      212
moment      10 12 23 24
Moment, formulas      46
Moment, of jump      63
Moment, sum rules      139 140 142
Mori's method      103 175
Motional narrowing      44 47 129
Narrowing condition      84
Natural frequency      20
Natural motion      87
Near-equilibrium process      197
Nonconservative force      196
Nonequilibrium statistical mechanics of dense gases      94
Nonlinear response theory      198
Nonohmic conduction      197
Normal distribution      8 9 12 22
Nozieres — Pines formula      180 210 262
Nuclear magnetic resonance      128
Nyquist formula      36 146
Nyquist theorem      37 170
Onsager reciprocity law      171 184
Onsager reciprocity theorem      163 164
Onsager relation of reciprocity      111
Onsager's postulate      184 186 188
Onsager's postulate, general formulation of      187
Optical response      197
Optical response, second order      198
Ornstein — Uhlenbeck process      28
Oscillator strength, generalized      182
Oscillator strength, sum rule      141
Paramagnetic relaxation      130
Particle line      240
Particle line, closed ring of      248 261
Partition function      10
Partition function, grand canonical      228
path integral      4
Path integral, formulation of quantum mechanics      1
Pauri equation      82
Pauri's exclusion principle      97
Perturbation      147
Perturbation(al) calculation      77 79
Perturbational expansion, basic formula for      228
Perturbational expansion, formula for temperature Green's function      245 257
Perturbational expansion, of $\beta$      238
Perturbational expansion, of equilibrium density matrix      227
Perturbational expansion, of mass operator      252
Perturbational expansion, of polarization operator      259
Perturbational expansion, of thermodynamic potential      228
Perturbational expansion, of unitary transformation      227
Phase space distribution function      93 151 186
Phenomenological relation      110
Phenomenological theory      109
Plasma frequency      182 221
Plasma oscillation      220
Poisson bracket      151 152
Poisson bracket, physical meaning of      153
Poisson bracket, quantal      150
Poisson distribution      47
Poisson modulation      47
Poisson process      47
Polar molecule      123
Polar molecule, solution of polar molecules      123
Polarization operator      259 260
Polarization, circular      130
Polarization, electric      120 123 124 131 182
Polarization, ionic      128
Power loss      119 120 131 140
Power spectrum      17 19 20 33 41
Power spectrum, nonnegativity of      34
Power spectrum, of noise voltage      36
Power spectrum, white      20 31
Principle of equal weight of microscopic states      196
Probability amplitude      222
probability density      4
Probability distribution, joint      4
Projected process      69
Projected process, non-Markovian property of      69
Projection      69 70 105 175
Projection operator      71 78 85 99 106
Projection, of distribution function      70 186
Projection, of process      109
Propagation velocity      144
Quadrature (out of phase) component      117
Quantized wave function      222
Quantum field theoretical methods in statistical mechanics      203
Quasi-invariant of motion      193
Quasienergy      248
Quasimomentum      248
Quasiparticle      225
Random field      131
Random force      14 15 19 20 31 33 37—39 54 101 103 104 107 185 186
Random force, Gaussian white      55 67
Random force, noncorrelation with velocity      39
Random force, relationship between random and true forces      108
Random force, velocity dependent      65
Random frequency modulation      40 46 48 49 129
Random frequency modulation, characteristic parameter of random frequency modulation (Kubo number)      42 49
Random frequency modulation, magnitude of      42
Random frequency modulation, rate of      42
Random phase approximation      213
Random variable      3
Random variable, bounded      104
Random variable, sum of independent random variables      9 26
Random walk      13
Randomization by linearization      198
Rate of change of perturbation      83
Relaxation (phenomenon)      114
Relaxation (phenomenon), after (sudden) removal of force      113 114
Relaxation (phenomenon), Debye(-type)      121 123
Relaxation (phenomenon), fundamental equation for treating relaxation and fluctuation of quantal systems      88
Relaxation (phenomenon), linear      69
Relaxation (phenomenon), longitudinal      129
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