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.

Язык:

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

Absolute continuity      278
Abstract nonsense      151
Activity      129 166
Age of the universe      17
Allowed sequence      284
Almost all points      287
Analytic error      63 87 96
Annoying error      106
Anosov      271 275
Anosov map or system      271
Anosov system      272 274 275
Anosov system, def      274
Ansatz      236
Anthropocentrism      118
Approach to equilibrium      17
Approximate symmetry      213
Arnold’s constant      209
Artifact      144
Atomic hypothesis      3 5 8 15 22 28 244
Atomic size      67
Atomism      147 307
Attracting set      271 274
Attracting set, def      273
Attractive potential      160
Attractor      274
Attractor, def      273
Average kinetic energy      22
Average over time      12
Average value      14 18
Avogadro      3
Avogadro’s number      3 11 17 70 93 139 247
Axiom A attractor      283
Axiom A systems      271
Axiom of Choice      42 156
Bachelier      244 251 256
Baxter      224 239
Bethe      236
Bethe ansatz      237
Bethe’s ansatz      235 236
Big nonchaotic island      276
Birkhoff’s ergodic theorem      158
Black body      94 104
Bogoliubov — Valatin transformation      233
Bohm      257
Boltzmann      3 17 19 22 24 28 39 42 61 66 71 109 147 156 266 291 304
Boltzmann equation      28 31 36
Boltzmann’s constant      9 16 23 69 74 76 149 244
Boltzmann’s constant, universality      77
Boltzmann’s equation      48 50 56 145 247 249
Boltzmann’s formula      68
Boltzmann’s H-theorem      33
Boltzmann’s sea      26
Borel      41
Borel set      157
Bose condensation      98
Boson      107
Boundary condition      6 31 82 83 150 182 207 285 286
Boundary condition       208
Boundary condition       208
Boundary condition, periodic      6 14
Bowen      272
Boyle — Mariotte law      139
Broken symmetry      152
Brown      243
Brush      38 181
Canonical absolute temperature      72
Canonical distribution      62 65
canonical ensemble      21 22 27 61 62 65 69 71 91 106 107 115 120 121 149 266
Canonical entropy      72
Canonical free energy      72
Canonical internal energy      72
Canonical pressure      72 81
Canonical specific volume      72
Cantoni      243 245
Carnot cycle      141
Carnot’s principle      246
Cell in hase space      281
Cell in phase space      3 59 62 104 266 267 290
Cell of Markov partition      298
Cell size      4 62 69 71 96 102
Cell, coarse      268
Cells permutation      290
Cesaro      201
Cesaro’s limit      201
Chain of oscillators      14
Chaos      268
Chaotic hypothesis      267 271
Chaotic system      48
Charge      118
Charged particles      120
chemical potential      149
Classical thermodynamics      21 22
Clausius      135
Clausius’ virial theorem      136
Close packing density      118 127
Cluster property, def      171
Coalescence catastrophe      115
Coarse grained cell      268 280
Coding & symbolic dynamics      284
Coexistence line      206
Coexisting phases      76 221
Cohen      271
Collapse      116
Collision      28
Collision cross-section      30
Collision volume      30
Colloid      243
Combinatorial error      63 87 96
Combinatorial factor      69
Compatibility matrix      176
Compatible sequence      284
Compatible spins      176
Compatible symbols      176
Compressibility      129
Condenser      118
Conditional probability      159
Conditional reversibility theorem      296 297
Cone property      279
Conservation law      32
Constant of Boltzmann      9
Constant of gas      93
Constant of motion      13
Constant of Planck      4 11 17
Continuum      3
Contraction rate of phase space      285
Convexity      140
Correlation function      18 161 184 220
Couette’s flow      270
Coulomb interaction      120
Coulomb’s interaction      67 107
Covariance      253
critical exponent      228
Critical parameter      140
Critical point      109 110 160 161
Crystal-liquid transition      109
Crystalline solid      93
Curie — Weiss’ theory      211
Cylindrical boundary condition      186
Daemon      34 297
Debye’s screening      110
Deflection angle      31
Degeneracy      103
Degeneration      101
Degree of freedom, frozen      93
Degree of freedom, oscillatory      91
Density matrix      106
Determinism      5
Deterministic principle      5
Diatomic gas      92
Diffusion coefficient      245

Dirac’s delta      254
Discrete space      147
Discrete time      147
Distribution of Liouville      48
Distribution SRB      272 287 296
DLR equation      158 159 160
Dobrushin      159 182 195
DOOM      11
Doppler regime      253
Doppler’s resistance      248 250
Duality of Kramers — Wannier      193
Dulong Petit law      94
Dynamical base      277
Dynamical base towards future      277
Dynamical system      152
Dynamics cycle      25 26
Ehrenfest      41 42
Einstein      243 247 252
Einstein — Smoluchowski relation      245
Einstein’s formula      250
Elastic collision      6
Energy indetermination      10
Enlarged ensembles      82
Ensemble      18 19 20 40 60 69
Ensemble equivalence      82 106
entropy      21 24 33 66 70 154 155 291 292
Entropy creation      292
Entropy decrease, forget      33
Entropy generation rate      291
Entropy increase      33
Equation of Boltzmann      31 145
Equation of state      24 61 70 166
Equation of van der Waals      11
Equilibrium property      26
Equilibrium state      26 184
Equilibrium, approach to      109
Equipartition      92 96 104
Equivalence of ensembles      69 71 76
Equivalence of statistical ensembles      61 62 69 70 71 72 73 76 80 82 85 106 115 121 148 152 163 305 306 307
Ergode      22 40
Ergodic      38
Ergodic decomposition      13 19
Ergodic distribution      19
Ergodic hypothesis      12 13 16 18 20 21 22 25 26 27 34 36 39 41 266 274
Ergodic hypothesis, critique      25
Ergodic hypothesis, difficulties      25
Ergodic problem      14 28 109
Ergodic set      13
Ergodic theorem      158 259
Ergodic theory      61
Ergodicity, def      13 19 157
Errors negligibility      63
Essence of equivalence      72
Etymology      40
Euler      16
Eulero      70
Euler’s equation      270
Evaporation catastrophe      118
Evolution map      59
Exact solution, Ising 2D      219
Exact solution, six vertex      235
Expansion rate of phase space      285
Extremal distribution      156
Extreme degeneracy      102
F model      225
Fallacious argument      243
Fermion      107 234
Fermionic system      234
Fermi’s condensation      100
Fermi’s sphere      100
Ferroelectricity      225
Feynman — Kac formula      257
Finite volume orthodicity      62
Fisher      110 182
Fixed particle boundary condition      150
Fixed particle boundary conditions      79 152
Fixed particles boundary condition      78 286
Fixed particles boundary conditions      152
Fixed spin boundary condition      175
Fixed spins boundary condition      286
Flight time      36
Fluctuation theorem      294
Fluctuation-dissipation theorem      255
Formalism      148
Free boundary conditions      208
Free energy      65 70 183
Free gas      70
Free microcanonical energy      72
Frozen degree      94
Function, measurability      157
Galgani      109
Gallavotti      271
Gamma function      16 70
Gap      200
Gas constant      93
Gaussian distribution      252
Gaussian process      254
Gaussian process, def      253
Gaussian thermostat      305 306
Gauss’ principle      292 294 306 320
Ghastly generality      161
Gibbs      19 22 24 27 38 40 42 60 71 271 291
Gibbs distribution      159 160
Gibbs distribution, def      152
Gibbs’ potential      81 85
Global iterated logarithm law      259
grad      51
Grad — Boltzmann limit      55
Grad’s conjecture      32 51 55
Grad’s limit      29 32 35 48 109
grand canonical ensemble      21 79 121 149
Gravitation constant      117
Gravitational force      118
Green      181
Green — Kubo formula      270 302 303
Griffiths      181 195
Ground state      61 123 237
H $\ddot{o}$ lder’s continuity      258
H-Theorem      33
Hamilton equation      148
Hamilton’s equation      5
Hand waving      110
Hard core      55 116 284
Hard core interaction      142 147 149 160
Hard core lattice system      176
Hard core potential      129
Hard core, def      149
Hard sphere      28 31
harmonic oscillator      95
Hausdorff’ dimension      260
Heat equation      257
Heat theorem      23 48 263 267 270 274
Heisenberg’s model      236
Helmholtz      38 39 263 266
Hidden variables      257
hilbert      244
Hilbert’s space      105
Holode      24 40
Homogeneous phase      153
Hoover      273
Hulthen      239
Hurst      181
Hydrogen bond      225
Hypothesis, ergodic      12
Ice model      224
Ice rule      225
Imponderable      156
Indetermination      10
Indetermination principle      4 107
Indistinguishability      62 150

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