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Domb C.M., Green M. — Phase Transitions and Critical Phenomena: Series Expansion for Lattice Models, Vol. 3 |
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Название: Phase Transitions and Critical Phenomena: Series Expansion for Lattice Models, Vol. 3
Авторы: Domb C.M., Green M.
Язык: 
Рубрика: Физика/
Статус предметного указателя: Готов указатель с номерами страниц
ed2k: ed2k stats
Год издания: 1974
Количество страниц: 693
Добавлена в каталог: 20.03.2008
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Предметный указатель |
Critical fluctuation 619
Critical invariants 450 451
Critical isotherm 187 323 434 435 447 448 451
Critical parameters 425 462
Critical parameters for I(s) model 429
Critical parameters, antiferromagnet 456 457 458
Critical parameters, cristobalite 462
Critical parameters, equivalent neighbour model 436
Critical parameters, h.k. 462
Critical parameters, h.p. 462
Critical parameters, h.t. 462
Critical point 182 183 184 190 191 193 194 196 197 198 199 210 211 212 213 215 220 221 222 224 228 230 231 232 236 237 257 299 305 618 619
Critical point, antiferromagnetic 202 213 214
Critical point, high temperature 216
Critical point, higher order 497
Critical region, mean-field description 114
Critical scaling parameter 646
Critical surface 467 468 497
Critical temperature 215 305 309 311 425 426 464 466 468 475 615 616
Critical temperature, antiferromagnetic 308
Critical temperature, ferromagnetic 308
Critical temperature, Ising 472
Critical temperature, mean field 547
Crossover 486 507
Crossover behaviour 511
Crossover exponent 361 464 465 467
Crossover region 510 511
Crossover temperature 507
Crossover value 579
Crystal lattice 98 104
Crystal lattice, n-cluster counting 105
Crystal, hydrogen-bonded 654
Crystal, Perovskite type 583
Cumulant 45 54 131 254 260 262 265 268 472 519
Cumulant correlation 121 128 131 141 154 166 167
Cumulant expansion 71 369 389
Cumulant function 265
Cumulant Method 253 254 258 261 264 268 290 390
Curie point 185 186 300 310 313 316
Curie point, ferromagnetic 231
Curie temperature 183 186 248 251 307 309 358 359
Curie temperature, paramagnetic 301 313
Curie — Weiss law 302
Cut-point 68
Cut-set 68
Cutting point 5
Cycle index 26 27 28 32 36
Cyclic boundary 378
Cyclic boundary condition 62 71 382
Cyclic group 26
Cyclomatic number 9 10 11 34 39 41 61 68 86 89 472
Dalton, N.W. 172 178 186 242 278 279 281 285 286 295 297 298 299 306 307 309 313 351 355 356 463 464 479 480 497 498 567 579 611 637 650 652
Danielian A. 231 241 374 458 479 526 567
Darboux correction term 443
Darboux form 424 429 430 431 435 452 453 454 455
Darboux second theorem 234
Darboux theorem 232 233 236 238
Darboux, M.G. 232 233 247
de Boer, F.R. 310 357
De Boer, J. 118 157 180
de Dominicis, C. 118 141 144 152 161 162 178
De Gennes, P.G. 252 357 473 479
de Jongh, L.J. 310 357 581 650
de Leener, M. 175 178 150
de Rocco, A.G. 41 49 94
Decoration 139 168
Degree-tuple 15
density 366 371
Density expansion 370 389 405
Density matrix 630
Density series 409
Destination site 109 110
Devonshire, A.F. 574 657
Di Marzio, E.A. 658 659 663 665
Dienes, P. 184 188 247 423 479
Dietrich, O.W. 646 650
Dihedral group 26 30
Dimer technique 661
Dipolar interaction 283
Dirac, P.A.M. 246 357
Displacive ferroelectrics 647 649
Displacive phase transition 583
Displacive transition 488 646
Distant neighbour interaction 462
Ditzian, R.V. 231 247 299 310 311 326 357 462 478 478 479 526 539 546 560 567 604 606 611 630 632 643 649 650
Domb, C. 2 37 38 40 41 42 52 57 58 59 67 68 69 71 73 84 85 87 89 90 93 115 116 117 127 133 178 183 184 186 188 190 191 192 193 195 197 198 199 201 203 215 217 219 224 232 234 247 242 247 253 274 286 289 291 297 298 304 306 307 309 313 319 323 357 352 355 356 359 360 361 363 366 367 369 373 374 383 384 389 390 392 393 398 400 402 403 405 419 424 425 426 427 428 429 430 432 433 435 436 439 440 441 442 443 444 445 447 448 449 452 453 455 458 459 461 462 463 464 465 470 471 472 473 475 478 479 480 481 482 497 500 501 503 505 506 507 513 521 539 540 567 562 587 599 616 625 650 654 655 661 665
Double cross 259
Douglass, D.H. 643 657
Droplet model 435 440 469 477
Duality 662
Duality argument 663
Duality relation 661
Dumbell 11 70
Dwight, K. 354 356 498 564
Dynamic scaling theory 633
Dyson equation 175
Dyson equation, many-body 139
Dyson, F.J. 249 352 464 480
Dzialoshinsky — Moriya interaction 579 581 582
Dzyaloshinsky, L 118 169 178 581 650
Edge disjoint 61
Edge perimeter 82
Edge perimeter, full 83
Edge permutation group 27 28
Edwards, J. 21 49 93
Effective-field approximation 150 163
Eight vertex configuration 659
Eight vertex model 579 583
Eisenstein, J.C. 279 280 350
Elliott, C.J. 92 93 184 211 231 241 299 310 311 326 351 374 409 410 412 417 435 458 461 478 480 482 453 526 539 546 560 564 577 581 584 594 601 604 611 616 617 618 649 650 651
Elliott, R.J. 135 178 293 352 473 480
Embedding 3 57 59 61 65 66 72 73 97 98 105 108 109 110 117 176 287 375
Embedding in symmetry system 98
Embedding, computer counting 97 98
Embedding, computer representation 105
Embedding, connected graph 73
Embedding, free 117 176 177
Embedding, low-temperature count 100
Embedding, strong 59 61 63 78 117 411
Embedding, weak 59 61 63 67 72 117 134 176 177 269 270
Emery, V.J. 163 178
Energetic approximation 453 456
Energetic approximation to susceptibility 453
Energy 232 314 637
Energy, exchange 247
Energy, reduced 379
Englert, F. 118 119 123 131 133 141 151 157 173 178 180 253 352 375 480
Enthalpy 534 552
Enthalpy coefficients 536
Enthalpy series 528
Enthalpy, magnetic 551
Enthalpy, reduced 523
Enting, I.G. 466 452 496 567 565
entropy 551 553 584 595 621
Entropy change 314
Entry parameter 383
Equation of state in critical region 435 444 450
Equation of state, homogeneous 444
Equation of state, magnetic 400 402
Equation of state, mean field 445 447
Equation of state, scaling 452
Equilibrium problem 473
Equivalent neighbour model 286 306 321 463 497
Error estimates 183
Essam, J.W. 3 11 12 13 40 59 60 62 64 68 69 74 75 76 77 85 86 89 90 92 93 95 115 116 117 124 127 137 176 178 179 180 184 185 187 192 207 208 211 216 218 224 242 243 253 269 270 352 353 360 405 408 409 410 412 417 426 432 433 434 435 436 437 440 441 448 469 474 476 480 481 483 539 561 587 630 633 647 650 651
Euler transformation 205 225 231 526 633
Eve, J. 60 90 93 119 175 184 186 192 207 211 247 261 272 273 275 280 281 285 286 287 294 295 296 297 298 303 304 308 309 310 312 314 315 316 317 319 321 322 323 325 326 327 341 350 353 360 452 498 500 539 540 560 565 567 647 647 649
Exact solutions 183
Exchange energy 247
Excitation 371
| Excluded volume 118
Expansion, bare 163
Expansion, high-temperature 506 600 663
Expansion, low temperature 225 371 405 506 571 654 663
Expansion, renormalized 140
Expansion, unformalized 140 163
Exponent renormalization 325
Extensive property 74 75 76
Extrapolation 183 189 194 197 198 199 200 207 212 213 216 230 232 234 302 304 323 324
Eyring, H. 366 479
F model 657 661 662 664 665
F model, low temperature series 665
Fairbank, W.M. 645 650
Falk, H. 299 352 599 606 650
Fan, C. 659 665
Farrel, R.A. 209 242
Fechner, B. 295 297 300 352
Feder, J. 583 657
Ferer, M. 118 161 179 296 301 305 319 320 322 323 326 352 355 356 394 432 440 480 500 539 561 607 629 650 657
Fermion operators 175
Fermion variable 175
Fermion variable, 582
Ferrell, R.A. 633 650
Ferrimagnet 300 364 372 373
Ferrimagnet, Ising 363
Ferrimagnetic polynomial 417
Ferrimagnetism 294 363
Ferroelectric model 183
Ferroelectrics 646
Ferroelectrics, displacive 647 649
Ferromagnet 365 366 367 372 444 453
Ferromagnet, classical 300
Ferromagnet, insulating 572
Ferromagnet, randomly dilute 293
Ferromagnetic model 307
Ferromagnetic ordering 309
Ferromagnetic polynomial 413 414 415 416 417
ferromagnetism 358 361
Field derivative, second perpendicular 607
Figure eight 11 70
Figure generating function 28
Filipow, L. 448 478
Finite cluster method 73 74 253 268 271 272 273 289 291 292 297 360 389 474
Finite cluster technique 475
Finite cluster theory 76
Finite size effect 361
Fisher relation for correlation exponents 439
Fisher, M.E. 2 3 15 40 93 184 186 187 190 192 194 195 198 201 202 204 208 209 214 216 224 231 235 242 243 250 252 301 305 322 325 352 353 355 356 359 360 364 381 426 429 430 431 432 433 434 435 439 440 441 453 454 456 460 468 469 470 471 473 474 476 450 457 483 484 489 497 500 501 507 522 551 552 556 557 558 562 563 565 567 570 574 596 611 626 646 647 650 657
Fisk, S. 501 562
Flowchart, for generation of configurations 102 103
Fluctuation 599
Fluctuation amplitude 640
Fluctuation matrix 144
Fluctuation series 616 620 637
Fluctuation series, fourth order 611
Fluctuation, fourth order 600 607 610 623 629 636 640 647
Fluctuation, higher order 600
Fluctuation, higher order perpendicular 599
Fluctuation, long range order 637
Fluctuation, perpendicular 599 603 606
Fluctuation, second order 601 607 610 623 647
Fluctuation-dissipation relation 524
Fluid 444
Ford, G.W. 3 16 18 23 27 28 29 30 31 32 33 34 36 39 40 57 93 95 117 131 150 272 354
FORTRAN 108
Fox, P.F. 231 242 422 433 434 435 441 481 539 562
Free energy 138 141 143 144 146 149 151 163 166 167 170 173 250 252 255 256 264 290 314 362 447 459 647
Free energy functional 149
Free energy, singular part 450
Free energy, unrenormalized 167
Free energy, vertex renormalized 148
Free graph enumeration 375
Free multiplicity 127 176
Free-embedding expansion 117
Freeman, S. 300 352
Frenkel, J. 469 457
Frozen-in problem 473 474
Fuchs, K. 2 73 93 395 457
Fugacity 145
Functional derivative 54
Functional differential equation 122 171
Functional differentiation 53 145 170
Gallavotti, G. 183 242
Gammel, J.L. 203 205 207 208 241 242 303 319 352 500 562
Gap exponent 436 444 465
Gap exponent A 435 444 600 648
Garelick, H. 441 474 450 457 630 650
Garnet structure 300
Gaunt, D.S. 184 185 187 192 201 203 207 218 219 242 243 320 350 355 356 360 361 373 380 381 405 408 409 410 412 417 422 426 427 430 431 433 434 435 440 441 443 448 449 450 453 454 457 468 470 476 475 450 457 453 501 505 506 507 522 539 540 556 557 558 562 633 657 656 665 665
Gaussian model 183
Generalized homogeneous function 503
Generalized scaling 477
Generating function 16 17 18 20 21 23 25 27 29 30 31 34 39 405
Generating function, partial 405 412
Gersch, H.A. 317 357
Gibbs potential 503 507 512 514 536 540 548 551 552
Gilbert, H.E. 60 90 93 119 175 184 186 192 203 207 211 247 272 273 275 291 297 303 304 308 312 314 319 321 322 325 326 327 350 500 539 560 647 649
Ginibre, J. 253 352
Go'tze, W. 115 179 625 626 650
Gor'kov, L.P. 118 169 175
Gordon, R.G. 187 242
Goudsmit, S. 357 453
Grand partition function 43 50 52 71 364 366
Grand partition function, monomer-dimer 654 655
Grand partition function, zeros 359
Grant, D.S. 182 191 194 915 202 231 234 235 238 240 243
Graph 99 128 130 132 134 135 141 143 158 161 264 269
Graph collapse 176
Graph expansion method, weak 660
Graph expansion, weak 661 665
Graph generating function, weak 653 654 655 659
Graph group 7
Graph group, 41
Graph symmetry 7
Graph symmetry number 7
Graph theory 103 116 124
Graph, 0-rooted 142
Graph, 1-irreducible 136 137 138 142 153 157 158
Graph, 1-irreducible 2-rooted 169
Graph, 1-irreducible connected 165
Graph, 1-irreducible unrooted 148
Graph, 1-rooted 129 143 168 178
Graph, 1-rooted connected 56
Graph, 1-skeleton 136 137 138 139
Graph, 2-connected 32
Graph, 2-irreducible 153
Graph, 2-rooted 140 152 154 155 156 158 159 160 168 174
Graph, 2-rooted connected 56 130 174
Graph, 2-rooted simple 160
Graph, 2-skeleton 153 157 158 159
Graph, 3-rooted 159
Graph, 3-rooted connected 130
Graph, allowed 585
Graph, articulated 5 67 85
Graph, bare 584 585 588 590 593 601 602 603 605 608 609 610 613 614 615
Graph, bare free energy 150
Graph, basic 269 270 271 272 273 274 275 276 281 285 287
Graph, bond 153 154 156 157 159
Graph, bond renormalized 158
Graph, bubble 604 606 632
Graph, connected 4 10 11 16 17 18 19 23 25 29 31 32 36 37 38 40 46 47 53 54 55 60 63 67 68 73 79 83 84 85 90 124 125 136 139 154 157 158 257 263 268 276 282 283 284 289
Graph, disconnected 2 4 10 17 61 90 134 281 282
Graph, double-cross 283 287
Graph, elementary 153 157
Graph, free 7 8 27
Graph, free connected 25
Graph, homeomorphic 9 10 11 61
Graph, homogeneous 67 84 399
Graph, horizontal weight of 586
Graph, hypermagnetic 377 378
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