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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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