Gallavotti G. — Statistical Mechanics :: Электронная библиотека попечительского совета мехмата МГУ

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Gallavotti G. — Statistical Mechanics

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Название: Statistical Mechanics

Автор: Gallavotti G.

Аннотация:

Statistical mechanics or statistical thermodynamics is a branch of physics that applies probability theory, which contains mathematical tools for dealing with large populations, to the study of the thermodynamic behavior of systems composed of a large number of particles. Statistical mechanics provides a framework for relating the microscopic properties of individual atoms and molecules to the macroscopic bulk properties of materials that can be observed in everyday life, thereby explaining thermodynamics as a result of the classical- and quantum-mechanical descriptions of statistics and mechanics at the microscopic level.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1999

Количество страниц: 359

Добавлена в каталог: 15.04.2013

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Предметный указатель

Infinite energy      96
Infinite system      150
Infinite volume      184
Infrared bounds      201
Infrared catastrophe      118
Instability and boundary conditions      109
Integrating factor      26
Intensive quantity      83
Interaction potential      140
Interaction range      9
Interaction strength      9
Interesting case      12
Intrinsic pulsation      14
Invariant distribution      18
Irreversibility      32 36 109
Ising model, 2D solution      229
Ising’s model      181 217 219 224 283
Ising’s model, many spin interaction      174
Iterated logarithm      258 259
Jeans      109
Joint probability      255
Kac      181
Kac’s potential      145
Kadanoff      110
Kasteleyn      181
Kaufman      181
KDP model      225
KDP-model      225
KH ${}_{2}$ PO ${}_{4}$       225
kinetic energy      5 59
Kinetic theory      245
Kintchin      258 259
Kirkwood Salsburg equations      185
Kirkwood — Salsburg’s equation      168
Knudsen      56
Knudsen’s model      56
Kramers      181
KRYLOV      45 268
Kuhn      45
Lagrange      251
Landau’s argument      141 163
Lanford      36 109 159 182 185
Lanford’s theorem      36 109 145
Langevin      252
Langevin equation      253
Large deviation      289
Large matrix      106
Large system      267
Latent heat      227
Lattice gas      164
Lattice model      172
Lattice spin system      164
Law of conservation of difficulties      148
Law of Large Numbers      68
Law of motion      4 5
Lawler      181
Lawler’s theorem      260
Least constraint principle      292 294 306 320
Lebowitz      56
Lee      199
Lee — Yang’s theorem      198 199
Leibnitz      39
Lennard — Jones potential      8 9 67 119 135
Levy’s regularity law      258
Lieb      181 224 226 228
Limit of Grad — Boltzmann      48
Linear operator      105
Liouville      31
Liouville distribution      48
Liouville’s distribution      266
Liouville’s theorem      6 31
Liouville’s volume      298
Liquid gas transition      109
Local distribution, def      151
Local observable      150 289
Local observable, def      150
Locally finite configurations, def      150
Long range order      165
Long-range order      202
Long-range order, def      165
Lorentz’ gas      48 50 55
Lorentz’ model      32
Lucretius      147
Lyapunov’s exponent      277
Macroscopic equilibrium      21 59
Macroscopic equilibrium state      19 59
Macroscopic observable      16 17 26
Macroscopic states      21
Macroscopically negligible      22
Markov partition      281 282 298 299
Markov pavement      281 282
Markov’s partition      280
Markov’s partition, def      281
Mattis      181
Maxwell      39
Maxwell — Boltzmann distribution      33
Maxwell — Boltzmann law      88
Maxwelliam distribution      159
Maxwellian distribution      248
Maxwellian distribution, def      153
Maxwellian momentum distribution      153
Maxwell’s daemon      246
Maxwell’s equations      94
Maxwell’s rule      141 145
mean field      110 142 147
Mean field theory      143 219 220
Mean free path      29 36 319
Measurable function, def      157
Measurable set, def      157
Measure, def      157
Mermin — Wagner theorem      166
Mermin — Wagner’s theorem      165
Metal      118
Metaphysics      35
Metastability      110 140 212
Microcanonical absolute temperature      72
Microcanonical distribution      62
microcanonical ensemble      15 21 22 25 26 61 62 65 69 71 121 149
Microcanonical entropy      72 121 124
Microcanonical internal energy      72
Microcanonical partition function      124
Microcanonical pressure      72
Microcanonical specific volume      72
Microscopic configuration      59 222
Microscopic dynamics      4 21
Microscopic state      3 4 5 59 62
Minimal constraint principle      292 294 306 320
Minlos      203
Minus boundary condition      185
Mixing, topological      283
Mixture of phases      156
Model of thermodinamics      22
Model of thermodynamics      18 21 23 24 26 39 60 62 69 73 183
Mole      3
Molecular chaos      50 56 249
Monoatomic gas      92
Monocyclic      38 45 47
Monocyclic system      38 263 266
Monocyclicity      264
Monode      18 19 20 38 60
Moon      27
Motion reversibility      6
Multifractal distribution      294
Multiple collision      31
Nageli      243 249
Navier — Stokes’ equation      245 270
Navier — Stokes’ fluid      270
Nearest neighbor      162
Nelson      257
Neon      93

Newton’s equation      33
No regret      167
Noble picture      282
Noise      253
Non equivalence of ensembles      74 76 162 164
Non ergodicity      25
Normal conditions      3
Normal mode      14 93
Nuclear size      67
Number of cells      16
Numerical density      123
Numerical experiment      7
Numerical simulation      142
Observable      14 19 59
Occupation number      87
Onsager      181 220
Onsager’s reciprocity      270
Open boundary condition      185 208
Optimistic viewpoint      4
Order of transition      227
Order parameter, def      165
Ornstein      181 253 254
Ornstein — Uhlenbeck’s process      255
Orthode      20 40 60
Orthodic      28 44
Orthodic ensemble      76
Orthodicity      20 21 22 24 27 28 40 60 62 64 65 66 68 69 78 115 148
Orthodicity in finite volume      62
Oscillators chain      14
Oscillatory degree of freedom      91 93 96
Oseledec      278
Oseledec’s theorem      278
Pair correlation      18
Pair interaction      3
Paradox      96 97
Paradox of Zeno      7
Partition function      61 65 69 79 84 106 107 149
Partition of phase space      280
Partition sum      62
Pauli — Jordan’s transformation      231
Pauling      224 225
Peierls      181 195
Peierls’ argument      195
Perfect gas      91
Perfect wall boundary condition      208
Periodic boundary      31 33
Periodic boundary condition      6 185 222
Periodic orbit      48 300
Perpetual motion      247
Perrin      243 246
Perron — Frobenius theorem      177
Pfaffian      181
Phase coexistence      202
Phase separation      219
Phase separation line      206
Phase space      3 5 59
Phase space contraction      292
Phase transition      74 76 109 140 194 210 219 227 289
Phase transition, def      76 84 160 162 163 166 188
Phase, def      148
Physical grounds      23
Pirogov      213
Pirogov — Sinai theory      213
Planck      44 104
Planck’s constant      4 11 17 102 148
Planck’s distribution      104
Plato      39
Plus boundary condition      185
Poincar $\acute{e}$       243 246
Point process      160
poisson      49
Poisson’s distribution      49 50
Positive definite potential      119
Positive type potential      119
PostScript      282
POT      67
potential energy      5 59
Potential of Kac      145
Pressure      18
Pressure ensemble      79 85
Principle of D’Alembert      320
Principle of equipartition      91
Principle of Gauss      320
Principle of indetermination      4
Principle of least action      320
Principle of least constraint      320
Principle of Ruelle      287
Principle of sufficient reason      27
Probability distribution, def      157
Process      253
Propagator      253
Proper frequencies      91
Pure phase      156 196
Pure phase, def      157
Quadrature      256
Quantum effects      109
Quantum grand canonical ensemble      106
quantum mechanics      4 11 64 94 103
Quantum microcanonical ensemble      106
Quantum statistical mechanics      105
Quasi-ergodic hypothesis      41
Radiating cavity      96 102
Radiation      94
Radiation distribution      104
Range of interaction      8 122
Raoult      245
Raoult-van t‘Hoff’s law      244 247
Rarefied gas      248
Rayleigh — Jeans’ formula      96
Reciprocity of Onsager      270
Rectangular cell      280
Recurrence      16
Recurrence time      17 26 28 36 109
Renormalization group      110
Repulsive potential      118
Reversibility      33 34 36 286
Reversibility paradox      247
Reversible representation      290
Reversible system      293
Reversible thermostat      304 305
Rigid sphere      28 31 35
Roughening transition      212
Round-off error      7
Ruelle      45 159 181 182 185 199 267 268 271 272 273 287
Ruelle’s theorem      199
Ruler and compass      282
Scale invariance      160
Scale of time      7
Schr $\ddot{o}$ dinger’s operator      105 108
Schultz      181
Second law      21 33 266
Second principle      23
Sense of Fisher      127
Set $\mu$ -measurable, def      157
simplex      156
Sinai      45 109 203 213 268 272 280
Sinister axiom      156
Six vertex model      225
Six vertex model, solution      235
Smale      283
Small system      267
Smoluchowski      243 249 250 252
Smoluchowski’s theory      249
Soluble model      109
Specific heat      71 91 92 93 99
Spectral theorem      283
Spin configuration      190
Spin system      109
Spohn      37
Spontaneous magnetization      220

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