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Pathria P.K. Ч Statistical Mechanics
Pathria P.K. Ч Statistical Mechanics

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Ќазвание: Statistical Mechanics

јвтор: Pathria P.K.

јннотаци€:

The first edition of this book was prepared over the years 1966-70 when the subject of phase transitions was undergoing a complete overhaul. The concepts of scaling and universality had just taken root but the renormalization group approach, which converted these concepts into a calculational tool, was still obscure. Not surprisingly, my text of that time could not do justice to these emerging developments. Over the intervening years I have felt increasingly conscious of this rather serious deficiency in the text; so when the time came to prepare a new edition, my major effort went towards correcting that deficiency.


язык: en

–убрика: ћеханика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

»здание: 2nd edition

√од издани€: 1996

 оличество страниц: 529

ƒобавлена в каталог: 01.07.2006

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$T^{3}$-law of specific heats      177Ч178
$\epsilon$-expansion      436Ч439
Adiabatic processes      17 21 28 153 259
Adiabats of a Bose gas      167
Adiabats of a Fermi gas      229
Adiabats of black-body radiation      172
Adsorption      103
Anharmonic oscillators      86 87
Antiferromagnetism      316 320 361
Autocorrelation functions      466Ч467 474Ч479 481Ч484 491Ч492
Barometric formula      153
beta function      499
Beth Ч Uhlenbeck formalism      249Ч253 260
Bethe approximation to the Ising lattice      328Ч334 362 369 383 386Ч387 408 410
Binary alloys      321 361Ч362
Binary collision method      258Ч259 276 293 303 304
Binding energy of a Thomas Ч Fermi atom      226Ч227 231
Black-body radiation      168Ч172 190Ч191
Bloch's $T^{3/2}$-law      360
Block-spin transformation      415
Bogoliubov transformation      274Ч275
Bohr Ч van Leeuwen theorem      88 208
Boltzmann factor      2 61Ч62 87 135 153
Boltzmannian systems, classical      16 30 56 129Ч132 135 137 232Ч245
Boltzmannian systems, quantum-mechanical      258 260
Bose gas, imperfect      270Ч277 299Ч300
Bose liquids, energy spectrum of      277Ч280 300
Bose Ч Einstein condensation      160Ч168 187 188Ч190 193 400Ч403
Bose Ч Einstein condensation, with interactions      270Ч273 278 299Ч300
Bose Ч Einstein functions      159 506Ч508
Bose Ч Einstein statistics      5 6 119 127Ч137 148Ч149
Bose Ч Einstein systems      120Ч124 127Ч137 157Ч194 249Ч260 490
Bose Ч Einstein systems, multi-dimensional      190 192 398Ч404
Bose Ч Einstein systems, nonuniform      283Ч285
boundary conditions      449 495Ч497
Bragg Ч Williams approximation to the Ising lattice      321Ч327 332 333 360Ч362 383 386Ч387 410
Brillouin function      75Ч76
Broken symmetry      324 365
Brownian motion      452 459Ч469 470Ч474 490Ч492
Brownian motion of a suspended mirror      472Ч474 490
Brownian motion, observation of      462 480 490
Canonical distribution      34 45 51 53 55
canonical ensemble      34 43Ч56 60Ч63 83 85 109Ч110 131Ч133
Canonical transformations      40 64
Chandrasekhar limit      222
chemical potential      14 54 90Ч92 see
Chemical potential of a Bose gas      272Ч273
Chemical potential of a classical gas      24Ч25
Chemical potential of a Fermi gas      200 204Ч205 214 227Ч230
Chemical potential of a Fermi liquid      297 302
Chemical potential of a gas of phonons      193
Chemical potential of a gas of photons      193
Circulation, quantized      280Ч288 300Ч301 303
Classical limit      26 122 135 140 160 193 196Ч197
Classical systems      15Ч25 30Ч34 56Ч60
Classical systems in the canonical ensemble      56Ч60 132
Classical systems in the grand canonical ensemble      132Ч133
Classical systems in the microcanonical ensemble      131
Classical systems, interacting      63Ч6 232Ч245
Cluster expansions, classical      232Ч239
Cluster expansions, general      245Ч249
Cluster expansions, quantum-mechanical      254Ч258
Cluster functions      256Ч257 260
Cluster integrals      235Ч236 239 246 248 257 260
Cluster integrals, irreducible      239 248 261 359
Complexions      see "Microstates"
Compressibility, adiabatic      189 228 412
Compressibility, isothermal      101 189 228 412 454 458
Condensation      306Ч310 see
Condensation of a van der Waals gas      310Ч314
Condensation, scaling hypothesis for      363
Condensation, Yang Ч Lee theory of      310
Conductivity, electrical      209 212 484
Conductivity, thermal      209 212
Configuration integral      233Ч237 245Ч246 254Ч255
Configurational distribution functions      456Ч458
Conformal transformation      440Ч441
Cooperative phenomena      see "Phase transitions"
Coordination number      318 365
Correlation function      349Ч351 354Ч355 364 418
Correlation function in the mean-field approximation      351Ч353 358 363
Correlation function in the scaled form      354 446
Correlation function of a Bose gas      402Ч403 411
Correlation function of a fluid      457Ч459
Correlation function of an n-vector model      373Ч375
Correlation function of the Ising model      371 387Ч388 410
Correlation function of the spherical model      395Ч397 411
Correlation function of the X-Y model      405
correlation length      353 355 364 406 414 417
Correlation length in the mean-field approximation      352Ч353 359
Correlation length of a Bose gas      403 411
Correlation length of an n-vector model      374Ч376 409
Correlation length of the Ising model      371Ч372 387Ч388 408 409
Correlation length of the spherical model      396Ч397 411
Correlation length of the X-Y model      404Ч405
Correlations, spatial      123Ч124 452 456Ч459
Correlations, spin-spin      289 331
Correlations, statistical      123Ч124 137 490 494
Corresponding states, law of      312
Covariance matrix      489 494
Critical behavior of a Bose gas      161Ч165 400Ч402 412Ч413
Critical behavior of a fluid      363
Critical behavior of a magnetic system      342Ч343 346Ч347 351Ч353 363
Critical behavior of a van der Waals gas      311Ч314 359
Critical behavior of the Ising model      324Ч326 329Ч333 370Ч372 383 385Ч388 410 432 434Ч436 450
Critical behavior of the spherical model      392Ч395 411 433
Critical behavior of the X-Y model      404Ч405
Critical curve      435 437 451
Critical dimension, lower      404 441 445 448
Critical dimension, upper      357 398 441 448
Critical exponents      334Ч338 353Ч356 362 363 364 451
Critical exponents of a Bose gas      401Ч404
Critical exponents of an n-vector model      375 407 437 438Ч439 451
Critical exponents of polymers      407
Critical exponents of the Ising model      370 372 388 407 432 434
Critical exponents of the spherical model      395Ч397 407 411Ч412 433
Critical exponents, experimental values of      336
Critical exponents, hyperscaling relation among      355Ч357 406
Critical exponents, mean-field values of      335 342Ч343 353Ч355 407 430Ч431
Critical exponents, scaling relations among      346Ч347 355Ч356 364 406
Critical exponents, theoretical values of      406Ч407
Critical exponents, thermodynamic inequalities for      338Ч341 355Ч356 362
Critical opalescence      101 452 459
Critical surface      427Ч429 451
Critical trajectories      428
Critical velocity of superflow      180 187Ч188 194 285Ч258 301
Crossover phenomena      440
Curie temperature      324 329Ч330 360
Curie Ч Weiss law      326 343 353 360
Curie's law      73 75 203 205 208
Darwin Ч Fowler method      47Ч52
Debye function      176 191
Debye temperature      176Ч178 191 211
Debye's theory of specific heats      175Ч178 191Ч192
Decimation transformation      415Ч418 418Ч426 426Ч431 449
Degeneracy criterion      122Ч123 140 157 193 see
Delta function      501Ч503 505
Density fluctuations      100Ч101 455Ч456 458 490
Density fluctuations, in the critical region      459
Density function in phase space      4 31Ч34
Density matrix      6 104Ч110 124Ч125 126
Density matrix of a free particle      111Ч113 255
Density matrix of a linear harmonic oscillator      113Ч115
Density matrix of a system of free particles      119Ч124
Density matrix of a system of interacting particles      254Ч256
Density matrix of an electron      111 124
Density of states      20 56 59Ч60 230 250Ч252
Density of states for a free particle      37 230 495Ч497
Density of states for a system of harmonic oscillators      68 70
Detailed balancing      106
Diamagnetism, Landau      202 206Ч209
diatomic molecules      87Ч88 103 142Ч150 154Ч156
Dietrici equation of state      359
Diffusion coefficient      463 465 471 481Ч483
Diffusion equation      463 471
Diffusion, Brownian motion in terms of      463Ч464
Dipole-dipole interaction      88
Dirac delta function      501Ч503 505
Dissipative phenomena      452 464 481Ч484
Distribution functions, configurational      456Ч458
Doppler broadening      153
Duality transformation      381Ч382
Dulong Ч Petit law      175
Edge effects      496
effective mass      187 192 208 210 231 296Ч297 299 302 304
Effusion      139 154
Effusion of electrons from metals      213Ч216 216Ч218
Effusion of photons from a radiation cavity      171
Einstein function      174
Einstein Ч Smoluchowski theory of the Brownian motion      459Ч462
Einstein's relations      452 465Ч466
Electron gas in metals      5Ч6 209Ч218
Electrons in a magnetic field      111 206Ч209
Elementary excitations in a Bose liquid      277Ч280 280Ч285 285Ч288 300Ч301
Elementary excitations in a Fermi liquid      293Ч299 302
Elementary excitations in an imperfect Bose gas      273Ч277 300
Elementary excitations in liquid helium II      182Ч188 192 279Ч280 285 287
Energy cells      127Ч130
Energy fluctuations      60Ч3 85 101Ч102 455Ч456
Ensemble average      31 35 105 107
Ensemble of Brownian particles      463 470Ч472 482
Ensemble theory      3Ч4 6 30Ч36 43Ч55 60Ч63 90Ч95 100Ч102 104Ч110
Enthalpy      15
entropy      12Ч13 20 22Ч4 27 36 54Ч55 71 95 166 196
Entropy in nonequilibrium states      453Ч455 485Ч487
Entropy of an Ising ferromagnet      326 361 362 410
Entropy of mixing      22Ч24
Entropy, statistical interpretation of      13 54Ч55 102 108
Equation of state      see also "van der Waals equation of state"
Equation of state of a Bose gas      159Ч160 253 272
Equation of state of a Fermi gas      197 253
Equation of state of a lattice gas      360 409 410
Equation of state of classical systems      16 21 65Ч66 238Ч245 247Ч249 359
Equation of state of quantum-mechanical systems      247Ч249 258 299 301
Equation of state, reduced      312
Equilibrium constant      85 154 331
Equilibrium, approach to      11Ч12 13Ч14 452 469Ч472 485
Equilibrium, deviations from      453Ч456 489Ч490
Equilibrium, persistence of      468
Equipartition theorem      63Ч65 86 151 153 465 468 472 473 479
Equipartition theorem, failure of      65 143 145Ч146 149 151 165 174Ч175 200Ч201 209
Ergodic hypothesis      41
exchange interaction      315Ч316
Exclusion principle      5 29 118 128 198 231 267 268 493
Extensive variables      9Ч10 22 24 28
Factorial function      497Ч501
Fermi energy      198 200 202 205 210 214Ч215 219 229Ч230
Fermi gas, imperfect      289Ч293 297Ч299 301Ч302
Fermi liquids, energy spectrum of      293Ч299 302
Fermi momentum      198 219 220 224 231 294 302
Fermi oscillators      87
Fermi temperature      200 210 219 227 229
Fermi velocity      229 295
Fermi Ч Dirac functions      195 508Ч510
Fermi Ч Dirac statistics      5 6 118Ч119 127Ч137 148Ч149
Fermi Ч Dirac systems      120Ч124 127Ч137 195Ч231 249Ч260 490
Fermi Ч Dirac systems, n-dimensional      229
ferromagnetism      314Ч316 320 323Ч326 329Ч330 see
Feynman's circulation theorem      281
Feynman's theory of a Bose liquid      278Ч282 285 300
Fick's law of diffusion      463
Field-theoretic approach      262Ч270
Finite-size effects      18Ч19 190 397 411 412 413 441Ч449 495Ч497
Finite-size scaling      441Ч449
Fixed point      406 427Ч428 432Ч433 435 450
Fixed point, Gaussian      436Ч437
Fixed point, non-Gaussian      436Ч437
Fluctuation-dissipation theorem      350 354 356 409 447 452 481Ч484 487
Fluctuations      452Ч494 see "Phase
Fluctuations in a multiphase system      364
Fluctuations in an (L,R)-circuit      480Ч481
Fluctuations in an electrical resistor      483Ч484
Fluctuations in the canonical ensemble      51Ч2 60Ч63 85
Fluctuations in the grand canonical ensemble      100Ч102 103
Fluctuations of occupation numbers      7 136Ч137 155
Fluctuations thermodynamic      453Ч456 489Ч490
Fluctuations, critical      101 459 492
Fluctuations, frequency spectrum of      474Ч481
Flux quantization in superconductors      303
Fokker Ч Planck equation      469Ч472 491
Fourier analysis of fluctuations      474Ч481 491Ч492
Fowler plot      218
Free volume      84Ч85
Fugacity      94 98Ч99 110 213 238Ч239 247Ч248 see
Fugacity of a Bose gas      161Ч162 273 299
Fugacity of a Fermi gas      200 227 292 301
Fugacity of a gas of phonons      193
Fugacity of a gas of photons      193
Fugacity of a lattice gas      319Ч320 409
Fugacity of a two-phase system      98Ч99
Gamma function      497Ч501
Gaussian model      389
Gibbs free energy      15 24Ч25 54
Gibbs paradox      22Ч25 25Ч26
Ginzburg criterion      357
Goldstone modes      376
grand canonical ensemble      90Ч95 100Ч103 110
Grand partition function      94Ч95 110
Grand partition function of a lattice gas      319
Grand partition function of a multiphase system      308Ч310
Grand partition function of an ideal gas      133Ч134 158 195
Grand partition function of an imperfect gas      238 245 299 301
Ground-state properties of a Bose gas      270Ч272 273Ч277 300
Ground-state properties of a Fermi gas      197Ч199 202Ч203 205 209 220Ч221 226Ч227 230 231 292Ч293 297Ч299 301Ч302
H-Theorem      3
Hard sphere gas      1 27 86 243Ч245 252Ч253 303
Harmonic approximation      173
Harmonic oscillators      27 37Ч38 41 66Ч71 86 97Ч98 168Ч169 173Ч178
Heisenberg model      316 360
Helicity modulus      365
Helmholtz free energy      15 25 53 95
Hyperscaling relation      355Ч357 430Ч431
Ideal gas of bosons      158Ч168 398Ч404 412Ч413
Ideal gas of fermions      195Ч209
Ideal gas, classical      15Ч25 36Ч37 57Ч60 62Ч63 65 96Ч97
Ideal gas, quantum-mechanical      115Ч124 127Ч139
Indistinguishability of particles      5 25Ч26 96 117Ч119 127Ч129
Indistinguishability of photons      5 169
Inertial density of excitations      179Ч182 186 192
Integrating factor for heat      94
Intensive variables      10 28
Internal molecular field      323 328 360 see
Internal motions of molecules      140Ч152 154Ч155 190
Irrelevant variables      429 434 437 451
Irrelevant variables, dangerously      430Ч431 437
Irreversible phenomena      3 452 459 463Ч465 469 484Ч489 493
Ising model      316 319 321Ч334 360 362
Ising model in one dimension      366Ч372 407Ч409 418Ч421 432
Ising model in three dimensions      405Ч407
Ising model in two dimensions      377Ч388 410 423Ч426 433Ч436
Isothermal processes      21 see
Isotherms of a Bose gas      166
Isotherms of a multiphase system      307Ч308 310
Isotherms of a van der Waals gas      311
Joule Ч Thomson coefficient      260
Kinetic coefficients      484
Kinetic pressure      1Ч2 138Ч139 192
Kirkwood approximation      362
Kramers' q-potential      93 103 see
Kubo's theorem      484 487
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