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Ïîèñê ïî óêàçàòåëÿì |
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Plischke M., Bergersen B. — Equilibrium statistical physics |
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Ïðåäìåòíûé óêàçàòåëü |
Equation of state, Tonks gas 181
Equation of state, Van der Waals 124 125 127 143 166
Equation of state, virial 2 182
Equilibrium 1—3 5 9 16—18 22 27 29 30 40 52 306
Equilibrium, chemical 3
Equilibrium, concentration of defects 53
Equilibrium, fixed S, V and N 28
Equilibrium, fixed T, P and N 17 53
Equilibrium, fixed T, V and N 11 53
Equilibrium, gas liquid 27 105
Equilibrium, mechanical 3
Equilibrium, thermal 3
Equipartition 55 170 469
Ergodic hypothesis 31 48 54 349
Euler summation formula 59
Exact differential 4 130
Exchange and correlation energy 474 486—487
Excitation spectrum 430—432 439—442 477 486 509
Extended states 514 517
Extensive variables 2 5 10 12 13 28 34 35 39 49 51
Extinction 330
Extinction, f-sum rule 471—472 508
Factorial moments 310
Faraday’s law 19
Fermi energy 45
Fermi Golden Rule 305
Fermi — Dirac statistics 43
Ferromagnet 21 22
Feynman diagram techniques 290
Fick’s law 130 493
Field operators 575
Finite lattice method 267
Finite-size scaling 218—223 277 364 365 368—370
First integrals 30
First law of thermodynamics 3—4 6 8 9
First order transition 85 87 91 104 118 126 364
First passage time distribution 332 336
Fixed point 237 240—248 251 252 263 278 290
Fixed point, disorder 548
Fixed point, Gaussian 287 290
Fixed point, n-vector 300
Fixed point, XY-model 300
Floating monolayer 231
Flory theory 391 395 403 409 410 418
Flory — Huggins parameter 401
Flory — Huggins theory 400 403
Fluctuation dissipation theorem 39 467—469
Fluctuation equation of state 155 156
Fluctuations 17 25 29 39 42 43 58 64 94 99 155 365
Fluctuations, Landau — Ginzburg theory 64 94 98
Fluctuations, particle number 367
Fluctuations, volume 361 366
Fluid membranes 383
Fokker — Planck equation 313—347
Forbidden energy region 519
Forecasting 258
Form factor 154
Fountain effect 437
Fourier transform 333
Fractal dimension 532 533
Fractal lattice 301
Free energy functional 174
Freely jointed chain 389 390
Friedel oscillations 484
Frustration 270 555—558
Fuel cell 11
Functional, differentiation 171—173 176 177
Functional, free energy 174—179
Gauche configuration 384
Gaussian chain 383 389—393 395 405 419
Gaussian distribution 369 370 379 389
Gaussian fixed point 395
Gaussian model 281—284 286
Gaussian noise 353
Gaussian process 324
Gegenbauer polynomial 330
Generalized force 492 497
Generalized susceptibility 464—469
Generating function 310 333 334
Geometric phase transition 531
Gibbs dividing surface 165
Gibbs paradox 33 43 55
Gibbs phase rule 1 23
Gibbs potential 11 13 17 18 22 28 53 54 83 94 126
Gibbs potential for an ideal gas 60
Gibbs potential for magnetic systems 19
Gibbs — Duhem equation 1 12 22 35 41 42 58 164 436
Gibbs, J.W. 5 130
Ginzburg criterion 64 97 98 456
Glasses 551—558
Golden Rule 499
Goldstone boson 229
grand canonical ensemble 29 40—43 47 52 57—59 145 269
Grand partition function 41 44—46 58
Grand potential 12 41 42
Gravitational collapse 60
Green — Kubo formalism 354 357
Green’s function 468 527 528
Griffiths singularities 546
Ground state 480
Ground state energy 470 487
Hamiltonian dynamics 30
Hard core interaction 124 386 391 406 411
Hard sphere fluids 150 158 161
harmonic oscillator 44 54 55 59
Harris criterion 547—548
Heap 362
Heat 3 5
Heat current 503
Hebb rule 372
Hebb, D.O. 372
Heisenberg equation of motion 491
Heisenberg model 64 65 99 100 104 202 206 209 210 223 234 247 290 297—300 369 477—480 509 550 557
Heisenberg model, anisotropic 477
Heisenberg model, high temperature expansion 210
Heisenberg model, spin waves (magnons) 477—480 509
Heisenberg model, three-dimensional 210
Heisenberg operators 463
Heisenberg picture 463
Helium monolayer 269
Helmholtz free energy 10 38 52 94 137 164 402 470
Helmholtz free energy, ideal gas 57 104
Helmholtz free energy, scaling properties 212
Helmholtz free energy, van der Waals 124
Heterogeneous diffusion 340—343
Hierarchical organization 257 258
High superconductors 98
High temperature expansion 200 202 210
High temperature expansion, Heisenberg model 209 234
High temperature expansion, Ising model 218
High temperature expansion, susceptibility 205
Histogram methods 363 364 379
homogeneous functions 56
Homogeneous mixing 317
Hookean springs 541 542
Hooke’s law 383
Hopfield model 371—375
Hopping 524
Human nervous system 371
Hypergeometric equation 330
Hypernetted chain approximation 160 161
Hyperscaling 217 218 548
Ideal bose gas 226 422—429 456—457
Ideal gas law 405
Ideal gas, entropy 34
Ideal gas, entropy of mixing 33
Ideal gas, free energy functional for 176
Ideal gas, Gibbs potential 60
Ideal gas, Helmholtz free energy 57 104
Ideal gas, law 2 28 125 145 380 403
| Ideal gas, particle number fluctuations 58
Identical particles 62
Impurity band 521
Information theory 29 48 52
Inhibition 371
Inhomogeneous liquid 144 163 171 178—180
Integrable systems 30 31 33
Intensive variables 2 3 12 35 42
Interacting fermion problem 188
Interaction range 224 225
Interface liquid-vapor 144 163—165 167—170 172 181
Internal energy 2 4 9 10 12 14 28 58
Internal energy, convexity of 28
Inversion temperature 182
Irrelevant scaling field 247 287 290 394 408
Irreversible process 4 5 7 8
Ising antiferromagnet 113 271
Ising chain 381
Ising ferromagnet 112 113
Ising model 63 65 67 71 74 75 98 101 113 358 359 369
Ising model, absence of phase transition onedimensional 70
Ising model, Bragg-Williams approximation 68
Ising model, critical exponents 218
Ising model, dimensionality of the lattice 69
Ising model, finite-size scaling 220
Ising model, high temperature expansion 207 209 210
Ising model, Kadanoff block spins 215
Ising model, low temperature expansion 206
Ising model, mean field theory 64 83 84
Ising model, one-dimensional 71 73 74 77 80—82 101—103 105 184 238—242 295 381
Ising model, spin 1 102
Ising model, three-dimensional 199 209 291
Ising model, two-dimensional 70 75 101 183—199 233 235 258—266
Ising model, two-dimensional Ising antiferromagnet 268—272
Isobaric processes 4
Isochoric processes 4
Isolated system 8 30 31 35
Isotherm, van der Waals 125
Isothermal compressibility 27 42 156
Isothermal process 4 5 10 14
Isothermal susceptibility 211
Jordan — Wigner transformation 188 199
Joule cycle 26
Joule — Thompson process 182
Jump moments 321 323
Kadanoff block spins 215 218 241
Kelvin formulation of second law 5 6
Kimura — Weiss model 329—330
Kinetic coefficients 493—498
Kirchhoff equations 541
Kirkwood superposition approximation 158
Kohn — Hohenberg theorem 174
Kolmogorov backwards equation 311 312
Kondo problem 292
Kosterlitz — Thouless transition 183 210 226—233
Kramers equation 326—328 345
Kramers escape rate 337—339
Kramers — Kronig relations 471 473
Kramers — Moyal expansion 323
Kronig — Penney model 565
Kubo formula 490—492
Kuhn length 385
Lagrange multiplier 51
Lame coefficients 413
Lamellar phases 415
Landau approximation time dependent 130
Landau expansion cubic term 86
Landau theory of phase transitions 63 64 77 83—87 95 97 99 100 104 114 118 183 197 271
Landau theory of phase transitions, Maier — Saupe model 86 137
Landau theory of phase transitions, tricritical point 90 98 122
Landau — Ginzburg theory 64 94 144 168 235 283
Landau — Ginzburg theory of superconductivity 453—456
Landau — Ginzburg theory of the liquid vapor interface 166
Landau — Ginzburg — Wilson hamiltonian 285 291 297
Langevin equation 353
Latent heat 20 104
Lattice constant 203
Lattice gas 269 400
Laws of thermodynamics 3—9
Le Chatelier’s principle 18
Leapfrog algorithm 352
Legendre transformation 10 41
Lennard-Jones potential 145 160 269 350 351
Lever rule 114
Levy — Smirnov distribution 337
Lifshitz tail 521 528
Light scattering 153 414
Limbo state 331
Lindhard function 482—485
Linear response theory 461—511
Linearization 245 246 253 266 275 290 300 502 547
Lipid bilayers 415
Liquid crystals 91 100 114 137
Liquid membranes 406 415 417
Liquid-vapor interface 144 156 163 164 167—169 172 181
Liquids 143—182
Local field correction 56 475
localization 514 519 521—525 530
Log-periodic oscillations 257 258
London penetration depth 455
Long-range interactions 291 386 393
Lorentz distribution 378
Low temperature expansions 206 209 211
Lower critical dimension 410
Lyotropic liquid crystals 415
Magnetic field 2 65
Magnetic field, Onsager relations 494
Magnetic induction 230
Magnetic work 18 20
magnetization 2 18 21 65
Magnons 477—480 509
Maier — Saupe model 114—120 123 137
Majority rule 260 266—268 273
Marginal scaling fields 247
Markov process 303—306 350 368
Markov processes 381
Master equation 304—306 313 314 322 323 329 331
Maximum current phase 135
Maximum entropy principle 9 16 17 27 36 48 52 59
Maxwell construction 126 165
Maxwell relations 1 12—15
Maxwell — Boltzmann velocity distribution 327 381
Mayer function 145—147 158
Mayer, J.E. 145
Mean field theory 63—107 183 184
Mean field theory for interfaces 164
Mean field theory, based on Ornstein — Zernike equation 168
Mean field theory, critical behavior 74
Mean field theory, critical exponents 74—76 217
Mean field theory, fluids 123
Mean field theory, misleading aspects 69 71 87
Mean field theory, neglect of long range correlations 74 75 80 94 183
Mean field theory, polymer solutions 400—403
Mean field theory, response functions 472—490
Mean field theory, spinodals 127
Mean field theory, superconductivity 449—452
Mean field theory, van der Waals theory of liquids 123 143 166
Mean field theory, weakly interacting Bose gas 475—477 508
Mean spherical approximation 160
Meissner effect 455
Melting of two-dimensional solids 231—233
Membranes 405—420
Membranes and branched polymers 418
Membranes, Edwards model 409
Membranes, Flory theory 410
Membranes, fluid 415—418
Membranes, persistence length 416
Membranes, phantom 406—409
Membranes, self-avoiding 409—414
Membranes, tethered 405—414
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Ðåêëàìà |
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