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| Domb C., Green M.S. (eds.) — Phase Transitions and Critical Phenomena (Vol. 1) |
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| Предметный указатель |
 -algebra 9 39 139 141 142
-algebra, of quasi-local observables 142
Abe, Y. 488
Abraham, D. 346 390 408 487
Activity 42 52 91 113 131 133
Adsorbed film, immobile 232 241
Adsorption 228 259
Adsorption operators 234
Adsorption, immobile, on crystal surface 241
Alder, B.J. 89 105
Alloys 228
Analyticity 46 83
Anderson, P.W. 187 199 225
Anti-phase transition 94 95
Antiferroelectrics 266
Antiferromagnet 230 232 243 249 272 280 290 298 299 300 307 308 311 316 137 318 319 328
Antiferromagnet, in critical field 224
Antiferromagnet, super-exchange 271 308 309 311
Antiferromagnetic ground state energy 220 224
Antiferromagnetism 228
Antiferromagnetism, spontaneous 230
Araki, H. 90 91 105 144 146 153 174
Asano, T. 54 81 105
Asanoba lattice 297 298
Ashkin — Teller model 270
Ashkin, J. 270 325 329
Associative and distributive laws 140
Bacon, G.E. 332 487
Baker, G.A., Jr. 58 99 102 105 106
Banach space 112 120 133
Barden, J. 152 174
Barouch, E. 373 487
Baur, M.R 90 105
Baxter, R.J. 337 342 344 345 378 388 445 455 461 468 469 476 477 479 487
BCS model 152 166
Berezin, F.A. 66 105
Bernal, J.D. 333 487
Bethe ansatz 439 450 461 462 471 479
Bethe, H.A. 187 214 218 225
Betts, D.D. 325 329
Bienenstock, A. 69 105
Binary alloy 187 190
Bloch equation 125
Bloch, C. 129 132 135
Bogoliubov inequality 84 88 89
Bogolubov, N.N. 43 84 105 113 114 135
Boltzman statistics 129 130 131 133 134 135
Bonds, absorbing 261
Bonds, emitting 261
Bonner, J.C. 187 214 224 225 225
Border correlation function 65
Born, M. 2 4
Bose condensation 33
Bose gas 144 146
Bose gas, ideal 33 50
Bose gas, interacting 181
Bose gas, lattice 116
Bose operators 234 235
Bose statistics 128
Bose systems 33
Bosons 20 32 50 51 95 129
Boundary conditions, anticyclic 207 209
Boundary conditions, cyclic 207 209 212
Boundary conditions, free edge 355
Boundary conditions, hard wall 30 64
Boundary conditions, periodic 18 89 217 358
Boundary conditions, thick wall 29
Boundary conditions, thin wall 29
Boundary conditions, “free” 76
Boundary effects 232
Boundary tension 229
Bounded linear operators 141 142 143 147
Bragg — Williams approximation 82
Bragg — Williams theory 3
Bragg, W.L. 187 225
Brascamp, H.J. 148 149 174
Brauer, A. 362 487
Broken symmetry 84
Brooks, J.E. 224 225
Brout, R. 96 97 105
Brown, W.F., Jr. 39 105
Brush, S.G. 187 225 228 267
Buckingham, M.J. 98 102 104 105
Burgoyne, P.N. 236 265 267
Burley, J.M. 228
Caianello, E.R. 235 267
Callen, H. 33 34 105
Canonical formalism 114
Chang, C.H. 287 329
chemical potential 13 14 20 32 91 94 96 130 131 138 139 151 171 271
Chester, G.V. 89 105
Classical continuum gas 95
Classical continuum systems 112 113 124
Classical ferromagnets 65
Classical gas 38 51 90
Classical lattice gas 48 51
Classical lattice system 12—19 52 90 91 113 114
Classical spin systems 88
Classical systems, one-dimensional 153
Clifford numbers 250
Clifford operators 233
Close-packing 183
Close-packing density 36
Closed anisotropic chain 202
Closed chain 195
Cluster properties 46 50 135 139 149 150 160 163 166
Complete matching 234
Complete translation group 173
Complex vector space 140
Compressibility 95
Concavity 19 23 33 60
Continuous symmetry 84
Continuum classical gas, hard cores 25
Continuum classical gas, hard cores, in canonical ensemble 12 25
Continuum classical gas, hard cores, in grand ensemble 12 25
Continuum gas 56
Continuum systems 41 52
Convexity 19 23 32 33 103 104
Convexity condition 103
Cooper, L.N. 152 174
Coopersmith, M.H. 102 105
Correlation functions 39 40 43 44 45 46 47 49 50 63 76 82 91 97 111 112 113 114 117 118 120 122 124 133 148 150 195 195 204 213 229 236 250 256 257 319 326 447
Correlation functions, cluster properties 46 50
Correlation functions, grand canonical 132
Correlation functions, singlet 41
Correlation functions, triplet 41
Correlation inequalities 72
correlation length 100
Correlations 77 232 237 257
Correlations, fourth order 257
Coulomb interaction 38
Creation operators 208
Critical concentration 313 314 315 319
Critical concentration, antiferromagnetic 317
Critical concentration, ferromagnetic 317
Critical concentration, partial 319
Critical point 84 101 104 174 270 271 272 278 280 293 294 296 297 298 300 302 310 313 315 317 318 319 323 325
Critical point exponents 58 98 100 102 103
Critical point inequalities 98
Critical temperature 75 79 82 83 99 152 241
Critical temperature, bounds 115
Critical temperature, upper bound 123
Crystalline phases 172
Crystalline symmetry group 171
Crystallization 152 170
Crystallization, theory of 138
Crystallographic group 174
cube 320 328
Cumulant-like expansion 78
Curie temperature 272
| Cyclic determinants 230 250
Cyclic matrix 263
Dalton, N.D. 458 487
Decoration 299
Demagnetising effect 39
density 35 138 189
Density matrix 129 130 131 143 145
Depolarising effect 39
Des Cloizeaux, J. 215 224 225
Diagonal representation 210
Diamagnetism 104
Dilute magnet 266
Dimer 233
Dimer coverings 259
Dimer generation function, on hexagonal lattice 444
Dimer problem 233 234 236 259 260 263
Dimer, external 261
Dimer, internal 261
Dirac function 126
Dirac operators 255 257 258
Dirac units 250
Disorder temperature 348
Dobrushin, R.L. 12 28 40 41 59 64 66 67.69 95 105 106 149 171 174
Domb, C 3 4 187 224 225 228 234 237 267 286 292 329 487
Droplet condensation model 86
Dual parameter 272 275 296
Dual relation 278
Dubin, D.A. 146 174
Dupuis, M. 335 489
Dyson, F.J. 38 92 93 106 108 186 198 199 225
Eddington numbers 250
Ehrenfest, P. 3 4 249
Eight vertex problem 451
Eight vertex problem, equivalence with Ising problem 466
Emch, G.G. 9 39 169 171 174
Emission operators 234
Energy-energy correlations 105
Ensembles 11
Ensembles, canonical 11 12 36 37 63 64 360
Ensembles, grand canonical 11 12 36 37 43
Ensembles, microcanonical 11 12 37
Ensembles, thermodynamic equivalence 36
entropy 33 35 78 101 178 180 199 200 224 225 231 249
Entropy, residual 266
Equation of state 11
Equilibrium state, canonical 139 144 146 156 157
Equilibrium state, canonical, grand canonical 143 144 151 170
Equivalence class 143
Ergodic average 148
Ergodicity 139 150
Euclidean group 170 171
Euclidean invariant 151 170 171 173
Euclidean symmetry 152
Euler relation 277
evaporation 228
Exchange coupling 228
Exponent inequalities 103
F model, general 344 345
F model, modified 456 466
F model, on square lattice 343 385 423 427 433 449
F model, on triangular lattice 469
Falk, H. 23 78 106
Fan, C 348 350 451 452 453 454 487
Felderhof, B.U. 92 106
Fenchel, W. 35 106
Fermi annihilation 208
Fermi anticommutation relations 209 210
Fermi numbers 250
Fermi operators 206 208 209 233 234 236 254 262 263 266
Fermi statistics 128
fermions 32 38 50 94 129
Fernandez, J.F. 89 106
Ferrielectric model, related problems 333 445
Ferrimagnet 307 308
Ferrimagnetism 271 289
Ferroelectric model 9 25
Ferroelectric model, general 346
Ferroelectric transition 426 436 437
Ferroelectrics 25 266
Ferromagnet, dilute 312 314
Ferromagnetism, dilute 271 312
Feshbach, H. 203 204 225
Feynman integral 127
Feynman — Kac formula 123 124 125 127 128 130
Feynman, R.P. 114 135 156 174
Finite convergence radius 43
Finite systems 11
Finite volume correlation functions 113
Fisher, M.K 12 28 31 38 39 41 54 55 78 83 86 89 92 98 99 100 102 103 104 105 106 107 109 116 123 135 201 214 224 225 225 260 267 271 290 292 302 304 305 308 311 320 326 327 329 350 352 354 425 467 468 487 440
Flammer, C. 203 225
Flip-flop symmetry 151 152
Fluctuation relation 105
Fluid phase 172 173
Fock space 144
Ford, G.W. 42 44 46 109 178 226
Fowler, R.H. 333 487
Fredholm integral equation 186
Free energy 59 138 178 180 198 199 200
Free energy, concave 33
Free energy, convex 33
Free energy, F model on square lattice 409
Free energy, F model on triangular lattice 469
Free energy, free fermion model 452
Free energy, ice rule model,  348 350
Free energy, IKDP model 345
Free energy, KDP model 343 394 402 408 411
Free energy, model system, extensive 11
Free energy, modified F model 456
Free energy, modified KDP model 439 453
Free energy, non-analytic dependence 42
Free energy, shape-dependent 39
Free fermion model 452
Freezing 228
Frobenius theorem 161 162 198
Frobenius, S.B. 198 225
Fuchs, K. 2 4
Function, concave 18 19 23 36 41 59 63 84 103
Function, convex 18 19 33 34 35 36 95 103
Functional integral 114
Galgani, L. 12 36 37 106
Gallavotti — Miracle equations 149
Gallavotti, G. 12 41 48 49 50 56 66 69 80 91 92 97 106 113 114 115 135 136 138 153 174
Gaudin, M. 215 224 225 477 488
Gauge invariance 152
Gaunt, D.S. 48 99 102 106 467 468 487
Gelfand, I. 143 174
Giauque, W.F. 334 487
Gibbs state 144 149 152 160 163 164 170 171
Gibbs state, euclidean invariant 172
Gibbs state, strongly transitive 171 172
Ginibre, J. 9 40 41 42 57 65 67 69 70 71 72 73 74 78 79 80 88 91 95 106 107 114 115 128 133 134 136 171 174
GKS inequality 72 75 76 78 79 80 81 93 104 105
Glasser, M.L. 345 346 390 395 402 404 408 487 488
GNS construction 142 143 146 147 150 169 172 173
Goldberg, K. 404 406 488
Gradshteyn, I.S. 378 381 388 396 419 465 466 488
Grand canonical formalism 112 114 129
Greek cross 265
Green, H.S. 233 237 248 249 256 257 258 259 260 261 262 263 265 267 287 329 452 488
Greenberg, W. 113 123 136 149 174
Green’s functions, time-dependant 115
Griffiths — Kelly — Sherman inequality see “GKS inequality”
Griffiths, R.B. 12 19 23 35 39 41 54 59 60 64 72 78 82 83 84 93 94 96 97 98 101 102 103 104 107 109 180
Groeneveld, J. 43 47 107
Grossmann, A. 65 107
Gruber, C. 55 107 115 136
Gudermannian function 323
Gunton, J.P. 102 104 105
Guttman, A.J. 48
Haag, R. 146 174
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