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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Pathria P.K. — Statistical Mechanics |
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| Ïðåäìåòíûé óêàçàòåëü |
Lagrange multipliers, method of 47 89 129
Lambda-transition in liquid He4 165—166 187
Landau diamagnetism 202 206—209
Landau's condition for superflow 282 see
Landau's spectrum for elementary excitations in a Bose liquid 182—184 278
Landau's theory of a Fermi liquid 293—299
Landau's theory of phase transitions 341—344 363
Langevin function 72—73 207
Langevin's theory of the Brownian motion 464—469 490—491
Langevin's theory of the Brownian motion, as applied to a resistor 483
Langmuir equation 103
Lattice gas 319—321 360 409 410
Law of mass action 85 331
Length transformation 406 414—418 418—426 426—431
Lennard — Jones potential 240 242 259
Light scattering by a fluid 348—349 353 458—459
Liouville's theorem, classical 32—34
Liouville's theorem, quantum-mechanical 106
Liquid  , specific heat of 178 304
Liquid  see also "Superfluid density"
Liquid , elementary excitations in 182—188 192
Liquid , normal fraction in 181—182 186—187
Liquid , specific heat of 165—166 178 186
Long-range interactions 334 337 365 398 411 440
Long-range order 314 321 459 see
Long-range order in a binary alloy 361—362
Long-range order in a Bose gas 403
Long-range order in a square lattice 386—387
Long-range order in the Bethe approximation 329—3230
Long-range order in the Heisenberg model 360
Long-range order in the spherical model 397
Long-range order in the Weiss ferromagnet 323—325
Lorenz number 209—210 212
Macrostates 9—10 34 43
Magnetic systems, thermodynamics of 71—83 88 103 see "Paramagnetism"
Marginal variables 429
Markovian processes 493
Mass motion 179—182 186 187—188 192
Mass motion, nonuniform 280—288 300—301
Mass-radius relationship for white dwarfs 221—223
Master equation 470 493
Maxwell — Boltzmann statistics 2—3 5 129 131 132—133 135 137 153 see "Classical
Maxwell's construction 307—308 311 342 344 364
Mayer's function 86 233—234 243 256
Mayer's theory of cluster expansions 232—240 248—249
Mean field theories 321—327 328—334 360—362 365
Mean field theories, limitations of 356—359
Mean values, method of 47—52 93
Meissner effect in superconductors 303
Memory functions see "Autocorrelation functions"
Mermin — Wagner theorem 404
microcanonical ensemble 34—36 55 60—61 63 107—109 127—131
Microstates 10—15 17—20 37 107 116—117 127—130
Microstates, "correct" enumeration of 25—26
Microstates, of a binary alloy 361
Microstates, of an Ising ferromagnet 326 360 408
Migdal — Kadanoff transformation 450
Mobility 464—465 471—472 481
Monte-Carlo methods 406
Most probable distribution 46—47 92 129—130 408
Most probable values, method of 46—47 129
Mulholland's formula 145
Neel temperature 361
Negative temperatures 80—83 88
Nernst heat theorem see "Third law of thermodynamics"
Nernst relation 465—466
Noise 452
Noise in an (L,R)-circuit 480—481
Noise, white 476—477 479—481 484 493
Nonequilibrium properties 481 484—489 see
Normal modes of a liquid 178
Normal modes of a solid 173—176 191—192
Nyquist theorem 481
Occupation numbers 25—26 116—119 127—137 169 197—199
Onsager relations 484—489
Order parameter 341—342 346 364 386—387 446
Ortho- and para-components 149—150
Pade approximants 405
Pair correlation function 457—459 490 492 494 see "Correlations"
Pair distribution function 66 86 123—124 457—459 492 494
Paramagnetism 71—77 201—205 230 302 368—369 409—410
Particle-number representation 263—8 303
Partition function 53 55—56 62 109 119—123 125 131—132
Partition function of a Bose gas 272
Partition function of a classical ideal gas 57—59 84 85 96 132
Partition function of a Fermi gas 203—204
Partition function of a system of free particles 112 119—123 131—133 140
Partition function of a system of harmonic oscillators 67 68 70 97 114
Partition function of a system of magnetic dipoles 72 75 77 82 88
Partition function of a two-phase system 306—309
Partition function of an interacting system 233—238 245 249 254—258 272
Partition function of an n-vector model 372—373 411
Partition function of the Ising model 317—318 367—368 378—383 408—410 418—420 423—425
Partition function of the lattice gas 319
Partition function of the spherical model 389—391 421—422 449
Pauli paramagnetism 202—205 230
Pauli's exclusion principle see "Exclusion principle"
Perturbation theory 274 290
Phase separation in binary mixtures 362
Phase space 3 30—34 36—40 41 57 122
Phase transitions 305—451 see
Phase transitions and correlations 330—331 348—353 406 414 452 458—459
Phase transitions and fluctuations 101 348—353 356—359 398 408 458—459
Phase transitions in finite-sized systems 441—449
Phase transitions, a dynamical model of 314—319
Phase transitions, first-order 363 448
Phase transitions, interfacial 440
Phase transitions, Landau's theory of 341—344 363
Phase transitions, second-order 341 363 448
Phonons 172—178
Phonons in a Bose fluid 277 280
Phonons in liquid helium II 178 181—182 183
Phonons in mass motion 179—181 186
Phonons, effective mass of 192
Photoelectric emission from metals 212 216—218
photons 5 39—40 168—172 190—191
Poisson equation 224
Polyatomic molecules 150—152 155 191
Postulate of equal a priori probabilities 10 34 107—109
Postulate of random a priori phases 108—109
Power spectrum of a stationary variable 475—481 491—492
Predictability of a variable 474 476 478
Probability density operator 254—256 see
Probability distribution for Brownian particles 459—462 470—473 491
Probability distribution for thermodynamic fluctuations 453—456 489—490
Pseudopotential approach 276 277 293 303 304
Q-potential 93—95 102 see
q-potential of a two-phase system 309—310
q-potential of an ideal gas 133—134
Quantized circulation in a Bose fluid 188 280—288 300—301 303
Quantized fields, method of 262—277 289—293 299 300
Quantized flux 303
Quantum statistics 5—6 26 104—124 127—139 see "Fermi
Quasi-chemical approximation to the Ising lattice 328 331 408 see
Quasi-particles see "Elementary excitations"
| Random mixing approximation 327 332 360 361 362 365 see
Random walk problem 459—461 471
Randomness of phases 108—109 475
Ratio method 405
Rayleigh — Jeans law 170
Relativistic gas 27 39—40 41 85 153
Relativistic gas of bosons 193 404 412—413
Relativistic gas of electrons 220—223 230
Relativistic gas of fermions 231
Relaxation time 464 470 480 482 492 493
Relevant variables 428 434
Renormalization group approach 406 414—441
Renormalization group approach to the Ising model 418—421 423—426 432 433—436 449
Renormalization group approach to the spherical model 421—423 432—433 449
Renormalization group approach, general formulation of 426—431
Renormalization group operator 426 451
Renormalization group operator, linearized 427 450
Response time 480
Richardson effect 213—215 230
Riemann zeta function 506—507
Rigid rotator 40 144—150 151 155
Rotons in a Bose fluid 278—280
Rotons in liquid helium II 183—188 192 193—194
Sackur — Tetrode equation 24
Saddle-point method 47—52 83 390
Scalar models 365 366—372 375—376 404
Scaling fields 428 434
Scaling hypothesis 344—348 354 363
Scaling relations 346—347 355—356 364 417—418 430—431
Scaling theory 415—418 429—431
Scattering of e.m. waves by a fluid 348—349 353 458—459
Schottky effect 215—216
Schottky specific heat 79
Second quantization 262—270 see
Short-range order 327 331 332 362
Singularities in the thermodynamic functions 164—166 189 190 272—273 299 300 see "Specific-heat
Smoluchowski equation 460—461
Solid-vapor equilibrium 98—100 103
Sommerfeld's lemma 199—200 292 302 510 512
Sommerfeld's theory of metals 210
Sound waves 172—178 see
Sound waves, inertial density of 179—182
Specific heat 15 54 61 454 455 456
Specific heat of a Bose gas 160 163—165 167 188—189 399—402 412
Specific heat of a classical gas 21
Specific heat of a Fermi gas 197 200—201 210—211 228—230
Specific heat of a system of harmonic oscillators 67 69 87 174—178 191
Specific heat of an imperfect gas 299 300 301
Specific heat of an Ising lattice 324—325 332—333 369—370 383—386
Specific heat of an n-vector model 375—376
Specific heat of black-body radiation 172
Specific heat of diatomic gases 143—150
Specific heat of liquid helium II 165 178
Specific heat of magnetic materials 77 79 83 88
Specific heat of polyatomic gases 151
Specific heat of solids 174—178 191 211
Specific heat of the spherical model 392—395
Specific heat of the X-Y model 405
Specific-heat singularity 164—165 189—190 299 325 333 385—386 394—395 401—402 405
Spectral analysis of fluctuations 474—481 491—492
Spherical constraint 389 390 392—393 411 421 422 449
Spherical field 391
Spherical field, reduced 392—397
Spherical model 376 389—398 410—412 421—423 432—433 449
Spin and statistics 6 119 148—150 260 269
Spontaneous magnetization 314—315 318 346 365 see
Spontaneous magnetization in the Ising model 323—324 329—330 386—387 410
Spontaneous magnetization in the spherical model 394 397 411
Square-well potential 260
Stationary ensembles 4 32 33 35 106 466 482
Stationary variables, Fourier analysis of 474—481 491—492
Statistical potential 124 252
Steepest descent, method of 47—52 83 390
Stefan — Boltzmann law 171
Stirling's formula 499—501
Stokes law 493
Structure factor of a liquid 278—280 303
Superfluid density near critical point 364
Superfluid in mass motion 187—188 280—285 286—287
Superfluid transition in liquid 165 187 364
Superfluidity see also "Critical velocity of superflow"
Superfluidity, breakdown of 187—188 285—288
Superfluidity, Landau's criterion for 187—188 287—288
Surface effects 495—497
Surface tension near critical point 364 388
Susceptibility, magnetic 73 75 346 350—351 353 355 356—357 see
Susceptibility, magnetic of a Fermi gas 203 205 208—209 230 302
Susceptibility, magnetic of an n-vector model 410
Susceptibility, magnetic of the Ising model 326 343 362 369 388 410
Susceptibility, magnetic of the spherical model 392—396 411
Sutherland potential 259
Symmetry properties of the wave functions 7 118 120 148 251 260 263—265 278 280—281
Thermal expansion, coefficient of 192 259
Thermal wavelength, mean 121—122 132 135 157
Thermionic emission from metals 212—216 230
Thermodynamic limit 9 62 307 308 309 310
Thermodynamic pressure 14—15 54 94 131 137
Thermodynamic temperature 12
Third law of thermodynamics 13 28 54—55 108 201
Thomas — Fermi model of the atom 6 223—227 231
Transfer matrix method 367 377 408 409 449
Transport phenomena 470 484
Tricritical point 363
Two-fluid model of superfluidity 165 182 278
Universality 344 345—346 354 435 442
Universality classes 344 347—348 359 398 404 413 439—440 442
Ursell functions see "Cluster functions"
van der Waals equation of state 6 27 241 259 307 310—312
Vapor pressure of a solid 99
Vector models 365 372—377 398 404
Virial coefficients 159—160 197 239—245 248 249—253 259 260 261
Virial expansion of the equation of state 159 197 239 247 359
Virial theorem 65—66 85 86 231 490
viscosity 465 493
Viscous drag 464 471
Vortex motion in a Bose liquid see "Quantized circulation in a Bose fluid"
Watson functions 393 413 510—512
Weiss theory of ferromagnetism 315 322—327 see
White dwarf stars 219—223
Wiedemann — Franz law 209 212
Wien's distribution law 170
Wiener — Khintchine theorem 452 474—478 491—492
work function 214 217
X-ray scattering by a fluid 458—459
X-Y model 316—317 404—405
Yang-Lee theory of condensation 310
Zero-point energy of a Bose system 271 276 300
Zero-point energy of a Fermi system 198 227 230 293 301
Zero-point energy of a solid 173 191
Zero-point pressure of a Bose system 271 276 300
Zero-point pressure of a Fermi system 199 220—221 230 293 301
Zero-point susceptibility of a Fermi system 203 205 209
Zeros of the grand partition function 310
Zeroth law of thermodynamics 28
Zeta function 506—507
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