Isihara A. — Statistical physics :: Электронная библиотека попечительского совета мехмата МГУ

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Isihara A. — Statistical physics

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Название: Statistical physics

Автор: Isihara A.

Аннотация:

This book consists of three parts. Part I, which includes Chapters 1-4,
gives the principles, with elementary applications to noninteracting systems.
It begins with kinetic theory and discusses classical and quantum systems in equilibrium and nonequilibrium. Examples in this part do not directly deal
with interactions. Nevertheless, an overall picture of statistical mechanics
may be obtained here at an elementary level. In Part II, which consists of
Chapters 5-9, classical statistical mechanics is developed for interacting
systems in equilibrium and nonequilibrium. Finally, in Part III, quantum
statistics is presented to an extent which enables the reader to proceed to
advanced many-body theories.

Язык:

Рубрика: Физика/Термодинамика, статистическая физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1971

Количество страниц: 438

Добавлена в каталог: 11.09.2005

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

Предметный указатель

A priori probability assumption      20 39 56
Absorption coefficient      70
Activity      61 62 124 126 170
Activity, absolute      61 62 289
Adiabatic expansion      119 120
Adiabatic process      96
Alloy      266 271
Annihilation operator      383
Antiferromagnetism      258
Autocorrelation function      199
Average speed      9 99
Average velocity      154
BBGKY hierarchy      155 197
BCS theory      428 429
Bernoulli equation      84
Bethe ansatz      335
Binary mixture      148 259
Blackbody radiation      71
Bloch's equation      280 282 362 413
Bogoliubov transformation      389
Bohr magneton      103
Bohr radius      325 383
Boltzmann equation      3 6 156 158 338
Boltzmann factor      51 285
Boltzmann H—function      6
Boltzmann relation      51
Boltzmann statistics      49 288
Boltzniann constant      33
Born — Green and Kirkwood equation      177
Bose function      88 342
Bose — Einstein condensation      84 86 106 388 421
Bose — Einstein distribution      82
Bose — Einstein gas      80 87 98 249 313 328 347 430
Bose — Einstein statistics      80 105 248 288 339 398 400 402
Boson      80 82 282 303 314 319 327 358
Bounds of free energy      147
Boyle temperature      116
Bragg — Williams theory      263 268
Brownian motion      159 182 201
Brownian particle      193 195 196 198 212
Bulk viscosity      160
Canonical distribution      33 367
canonical ensemble      52 53 280
Cauchy — Schwartz inequality      151
Chain diagram      172
Chain diagram, approximation      317
Chapman — Kolmogorov equation      206
Charged boson      327
chemical potential      61 261
Chemical potential, of solvent      150
Clausius — Mossotti formula      143
Clausius' virial theorem      18 164
Closed polygon      219
Cluster expansion      113 137 148 169 209 236 293ff 311 313 375
Cluster integral      120ff 122
Coarse grained distribution function      38 40
Coarse graining process      37 39
Collision cylinder      4 5
Collision hypothesis      4
Collision term      155 339
Compressibility      168 256 268 270
Condensation      84 86 106 136
Conductivity,electrical      69 271 352ff 369 373ff 423
Conductivity,thermal      15 16 100 340 345 346 352 355
Configurational partition function      114 121ff 125 253
Connected graph      121
Contraction      409
Convolution approximation      174
Cooperative phenomena      263
Correlation energy      304ff 392
Correlation function      160
Correlation function, density-density      169 204 266
Correlation function, space-time      203
Correlation function, spin      230
Correlation function, time      373 375
Creation operator      383
critical exponent      256ff
Critical temperature      139 253ff 428 431
Critical temperature, dip      271
Critical temperature, divergence      255 256
Critical temperature, opalescence      166
Critical temperature, slowing down      271
cross      224
Cross section      5 203 339 344 351 353
Cumulant theorem      133 (see also “Thiele's semi-invariant”)
De Haas — Van Alphen effect      101
Debye characteristic temperature      78 79 95 243
Debye function      78 79
Debye model      78 239
Debye — Huckel distribution function      136 321
Debye — Huckel distribution function, correction to      324
Debye — Huckel screening constant      135
Degenerate gas      84 343 347 388
Density fluctuation      64 167 169 266 399 424
Density matrix      278ff
Density of states      83
Detailed balance condition      7 44 156 352
dielectric constant      204 424
Dielectric constant, of plasma      398 426
Dielectric function      399 425 426
Diffusion      16 186 212 271 272 370
Diffusion, equation      185 211 212
Diffusion, in momentum space      159 200
Dipole interaction      141
Distribution function      21 33 I53ff 162 169 310ff
Distribution function, canonical      33 367
Distribution function, coarse-grained      38
Distribution function, Debye — Huckel      136 321
Distribution function, fine grained      38 40
Distribution function, frequency      77 240ff
Distribution function, phase space      21 280
Distribution function, singlet      154 157 376
Distribution function, time smoothed      198
Distribution function, triplet      316
Distribution function, Wigner      280
DNA melting      217
Doppler broadening      11
Dual lattice      220
Duality principle      221
Dulong — Petit's law      79
Dumbbell molecule      116 117
Dynamic form factor      397
Dynamic reversibility      17
Dyson's time ordering parameter      406
Eigenvalues of propagator      298 299ff
Einstein characteristic temperature      76
Einstein function      76
Einstein model      75
Einstein relation      194 370
Einstein viscosity formula      190 192
Elasticity of rubber      65
Electrical conductivity      69 271 352ff 369 373
Electron gas      134ff 320 391
Electron interaction via phonon      395
Electron phonon interaction      393
Electronic heat capacity      94
Electronic heat capacity, specific heat      94
Energy density      73 74
Energy gap      430
Ensemble      52
Ensemble, average      24 26 53 56
Ensemble, Canonical      24 26 53 56
Ensemble, Grand Canonical      57
Ensemble, microcanonical      22
Enthalpy      120
entropy      55 264
Entropy, increase      36
Entropy, statistical definition of      33 39
Equation of state, Bernoulli's      84
Equation of state, of ideal gas      8

Equation of state, of imperfect gas      114 122ff 125 127
Equation of state, of quantum gases      74 83 84 86 92 94 292 334
Equation of state, Van der Waals      115
Equation of state, virial      164
Equipartition law      10 201 239
Ergodic hypothesis      24
Ergodic theory      24 25 200
Exchange energy      305 390
Extensive Variable      56
f-bond      121
f-sum rule      397 400
Fermi (Dirac) distribution      82 97 302 325 339 345 350 352 356 385 415
Fermi (Dirac) statistics      80 105 339 401
Fermi energy      305
Fermi function      342
Fermi gas      80 86 91 99 332 343
Fermi liquid      91 96 344
Fermi momentum      92 102 302
Fermi sphere      92
Fermion      80 82 282 302 319 325 344 415 421 423
Ferrimagnetism      214
Ferromagnclism      215 248 257 264
Fine grained distribution function      38
First law of thermodynamics      35
First order phase transition      252 428
Fluctuating force      192 197 199
Fluctuation      63 64 149
Fluctuation, spin      344
Fokker — Planck's equation      198 205ff
Fourth virial coefficient      178
Free energy, Gibbs'      35 61
Free energy, Helmholtz's      35 36 53 55 62 90 108 264
Free energy, statistical definition of      35
Free path      12
Frenkel defect      68
Frequency distribution function      240
Frequency spectrum      239ff
Friction constant (frictional coefficient)      159 192 195 370
Fugacity      61
Gamma space      37
Gibbs ensemble      53
Gibbs free energy      61
Gibbs H-theorem      31
Gibbs inequality      37 45 144
Gibbs paradox      55
Grand ensemble      57 123 311 384 406
Grand partition function      58 59 81 123 124 142 148 164 233 293 299 412 415
Grand potential      60 146 406
Green's function      211 286 361 405ff
Green's function, differential equation for      195 407 426
Green's function, lattice      245
Green's function, retarded      422ff
Green's function, temperature      425ff 423
Green's function, time      418ff
Griineisen — Bloch formula      354
Ground state energy      249 304 306 330 334 392 419
H-Theorem      6 30—32 40 42 43
H-theorem, Boltzmann's      6 17 30
H-theorem, Gibbs'      31
Hard-sphere gas      178 217
Hard-sphere gas, Bose      329
Hard-sphere gas, Fermi      332
harmonic oscillator      72 75 284 387 400
heat capacity      see “Specific heat”
Heisenberg model      215 247ff
Helium-three, mixed with 4He      261
Helium-three, refrigeration      261
Helix-coil transition      217
Helmholtz free energy      35
Henry's constant      149
Henry's law      125
HNC approximation      174
Hollow space radiation      71
Ideal gas      8 36 55 56 62 64 81
Ideal gas, mixture      63 125 150
Ideal gas, solution      150
induced dipole      140
Interaction representation      413
Internal energy      34 52 53 75 87 106 107 163 264
Internal energy, of radiation      74
Internal energy, statistical definition of      34 53
Internal energy, surface      164
Intrinsic viscosity      188
Invariant part of phase space      25
Inverse collision      6
Irreducible integral      127 128
Irreversibility      39 43 156 197 198 200 360ff 366 376ff
Irreversible process      13 see
Ising lattice      214ff
Isothermal compressibility      168 256 268 270
Isotope effect      428
Joule — Thomson effect      119
Kinetic theory      3ff 18
Kirchhoff's law      71
Kirkwood — Boggs equation      180
Kramers — Kronig relations      195 365
Langevin equation      159 192 194 201
Lattice defect      68 247
Lattice dynamics      75
Lattice gas      232ff 249 263ff
Lattice vibration      75 215 239ff 387
Lattice walk      182 186
Law of corresponding states      79 116 253
Lehmann representation      416
Lennard — Jones potential      115 176
Liouville equation      22 153 155 162 196
Liouville operator      196 361
Liouville theorem      18 22 26 361
Liquid solution      148 259ff 261
Logarithmic divergence      229 255 358
Long range order      263
Lorentz group      403
Loschmidfs number      12
Magnon      248 344
Markoff chain      206
Markoff method      183 185
Markoff process      206
Master equation      43 44 377
Maxwell — Boltzmann distribution      7 12ff 192
Maxwell's law of equal areas      253
Mean ergodic theorem      25
Mean free path      12 98 99
Meissner — Ochsenfeld effect      428
Metrically indecomposable set      25 26
Microcanonical distribution      20
microcanonical ensemble      22 27
Mixed state      279
Mixture      148 259ff
Mobility      194
Molecular chaos      4 377
Moller operator      308
Most probable velocity      10
Nearest neighbor statistics      215
Neel temperature      258 259
Nernst relation      213
Neutron scattering      89 169 186 202ff 242 261
Nodal expansion      172
Nodal point      172
Normal process      354
Number of states      73 82 83 101
Number operator      383
Nyquist relation      380
One-dimensional anharmonic oscillator      70
One-dimensional gas      217
One-half power law      254
One-third power law      254 260
Onsager relations      366
Order of transition      252
Order-disorder phenomena      260 263
Ornstein — Zernike equation      174

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