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Domb C., Lebowitz J.L. — Phase Transitions and Critical Phenomena (Vol. 19)
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Íàçâàíèå: Phase Transitions and Critical Phenomena (Vol. 19)
Àâòîðû: Domb C., Lebowitz J.L.
Àííîòàöèÿ: This series of publications was first planned by Domb and Green in 1970. During the previous decade the research literature on phase transitions and critical phenomena had grown rapidly and, because of the interdisciplinary nature of the field, it was scattered among physical, chemical, mathematical and other journals. Much of this literature was of ephemeral value, and was rapidly rendered obsolete. However, a body of established results had accumulated, and the aim was to produce articles that would present a coherent account of all that was definitely known about phase transitions and critical phenomena, and that could serve as a
standard reference, particularly for graduate students.
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Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö
ed2k: ed2k stats
Ãîä èçäàíèÿ: 2001
Êîëè÷åñòâî ñòðàíèö: 498
Äîáàâëåíà â êàòàëîã: 19.03.2006
Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Diffusion-limited pair annihilation (DLPA), local properties 208—210
Diffusion-limited pair annihilation-creation 74 176
Diffusionless random sequential absorption process 167
Diffusive mixing/spreading 61 149 176 208 259
Dilation operator 321
Dimensional regularization parameter 399
Dipoles, approaching boundary 363
Dipoles, bilocal operators 282
Dipoles, coincidence 381
Dipoles, contraction 293—294 295 297 300—301 352 353 360 382 462
Dipoles, Coulomb energy 283—285
Dipoles, MOPE approach 291—292 418
Dipoles, replacement 299
Dirac sea 40
Dirac — Hilbert space notation 19
Discontinuities 435 437
Discrete time systems 52 69—70 97
Disorder, -disorder contraction 399
Disorder, averaging over 259
Disorder, correction 402
Disorder, correlation 388 392
Disorder, environment 77 388—408
Disorder, interaction, time ordered 392
Disorder, intrinsic 278—279
Disorder, isotropic 389
Disorder, nonpotential (transverse) 388 389 395 407
Disorder, quenched 259 389
Disorder, renormalization 397—399
Disorder, static 389
Disorder, topological 42
Dispersion integral 435
dispersion relation 67 115
Displacement vector 268
Distance geometry 309
Divergences, bilocal operators 397—399
Divergences, local 282—284 380—381 395—396
Divergences, overlapping 324
DLPA see Diffusion-limited pair annihilation (DLPA)
DNA, dynamics 215—220
DNA, gel electrophoresis 8
DNA, relaxation 217—219
DNA, reptation 10
DNA, structure 375
Domain of attraction, large 389
Domain, growth 47 389
Domain, statistics 214
Domain, wall, and spin-spin interaction 36 47
Domain, wall, as shock 144—145
Domain, wall, diffusion 149 171
Domain, wall, driving 185 187
Domain, wall, duality 74 79 81 163 176 179 188—191 210—211
Domain, wall, dynamics 134—136
Domain, wall, fluctuations 141—143 148—149
Domain, wall, hopping 188
Domain, wall, inASEP 105 117
Domain, wall, motion 145
Domain, wall, random walk 122 135 143 148
Domain, wall, stability 124—125
Domain, wall, types 146
Double 6-expansion 364—368
Double poles, two-loop diagrams 345—346
Drift, and hard-core interaction 104
Drift, diffusion-limited annihilation 195
Drift, distance 149
Drift, velocity 23 60 116 146—147 215 216 217 403
Driving process, effects 195 199 203
Droplets, boundaries at criticality 429—430
Droplets, energy cost 431
Droplets, instanton behaviour 441—442
Droplets, nature 260
Droplets, spin 431
Duality, domain wall 74 79 81 163 176 179 188—191 210—211
Dynamic matrix ansatz 89—95 99 101
Dynamical equations 5
Dynamical exponent 65 158 385 387 389 403
Dynamical scaling 63—65
Dynamical structure function 59—61
Dynamics, stochastic 3—4 14
Dynamics, ultraslow 389
Dyson — Schwinger equation 69—70 166 308
Edwards model 279 314 434 436 439—441 450
Edwards — Wilkinson universality 235
Effective field theory 378
Effective Hamiltonian 269 270 279 436
Effective system 6
Eigenstates 31 39 90
Eigenvectors 54 90
Eight-vertex model 5 52 160
Einstein relation 215
Elastic energy 371
Elastic manifolds see Polymers
Elastic terms, anharmonicity 376
Elasticity, renormalization 401 404 405
electric field 104 167 217
Electron, motion 167
Empty interval probabilities 167 173 181 184 212 237—238
Enantiodromy 74—75 81n 82 162—164 173
Energy, -energy correlation function 257 408
Energy, barriers, random 42
Energy, expression, integral representation 86
Energy, function, Ising model 48
Energy, gap, and relaxation time 171
Energy, gap, finite 67—68
Energy, gap, free fermion systems 191—192 193
Energy, gap, limit behaviour 69 193
Energy, gap, volume independent 110 111
Equations of motion and global rescaling 305—307
Equations of motion for magnetization 187
Equations of motion, calculations 464
Equations of motion, consequences 305 466
Equations of motion, decoupling 164—167 169
Equations of motion, for time-dependent operators 198
Equations of motion, for vacancy strings 169
Equations of motion, free fermion model 184 187 213—214
Equations of motion, Glauber dynamics 187
Equations of motion, Pauli matrices 182
Equations of motion, solving 141
Equilibrium, distribution 54 104—105 117
Equilibrium, systems 4 57—58
EQUIVALENCE 72—74
Ergodicity 54—57
Error function 88
Euler, -function 301
Euler, -function 444
Exact exponent identities 272
Exact solution, dynamical equations 5
Exact solution, equilibrium systems 4
Exact solution, exclusion processes 136 148
Exact solution, many body systems 30—31 33 34
Exact solution, nonequilibrium systems 4
Exact solution, random sequential absorption process 167
Exact solution, reaction-diffusion systems 5
Exact solution, three state systems 29
excitons 13 49 176 196 222—223
Exclusion process and interface dynamics 231
Exclusion process with particle injection and absorption 79
Exclusion process, asymmetric 43 101 104 158 see Symmetric
Exclusion process, discrete time 225—229
Exclusion process, elementary move 41 42
Exclusion process, exact results 136 148
Exclusion process, generalized 144
Exclusion process, integrability 50—51
Exclusion process, interaction 86 114—115 116
Exclusion process, k-step 125
Exclusion process, nonequilibrium 103
Exclusion process, partial 43 51
Exclusion process, partially asymmetric 113
Exclusion process, partially symmetric 96—97
Exclusion process, quantum Hamiltonian formalism 41—45
Exclusion process, single species 45—47
Exclusion process, symmetric 43 79—102 89 101
Exclusion process, traffic flow 154—157
Exclusion process, two-type 51
Exclusion process, universality 199
expansion see also Perturbative expansion
Expansion, 1/d 449—450
Expansion, Flory approximation 354—355
Expansion, parameters 348
Expectation operators 4
Expectation values, calculation 204
Expectation values, connected and nonconnected 306
Expectation values, decay 66
Expectation values, density 168
Expectation values, equal time 394
Expectation values, Expectation values, quantitative behaviour 193
Expectation values, experimental measurement 22—23
Expectation values, observables 280 282 293 305—307 366—367 378 467
Expectation values, spectral decomposition 62
Expectation values, stationary 54 58
Expectation values, transformed systems 72
Experimental realizations 215—223 385
Exponential decay 63 65
Exponential relaxation 67
Extrapolation 349—351 406 429 430 433 447 448
Fermi edge 40
Fermion interaction quartics 194
Fermionic operators 175 177
fermions see Free fermion approach
ferromagnetism 32 200—201 230 see
Feynman, diagrams 286 290 318
Feynman, integrals 256—257 318 319 408 436
Field theoretical methods and fluctuating lines 408
Field theoretical methods and fluctuating lines, multilocal 257 258
Field theoretical methods and fluctuating lines, nonlocal 260
Field theoretical methods and fluctuating lines, O(N) model 413 414
Field theoretical methods and fluctuating lines, renormalization 333—334 392—393
Field theoretical methods and fluctuating lines, tethered membranes 279—305
Field theoretical methods, convenience 256
Finite systems 62—63 65
First-order transition kinetics 145
First-passage time 75—77 79 84 217—218
First-passage time, distribution 83—84 89
Fisher waves 172
Fixed point, cubic 432 433
Fixed point, Gaussian 365 369 404 432
Fixed point, Heisenberg 365 369 404 432 433
Fixed point, infrared (IR) 305 354 357 358 368 369—370 426 446 457 464 466
Fixed point, isotropic 399 405—407
Fixed point, perturbative 389
Fixed point, pure self-avoidance 451
Fixed point, renormalization group flow 404—405
Flat phase in simulations 451
Flat phase, fluid membranes 258
Flat phase, persistence 277
Flat phase, self-avoiding membranes 277 356
Flat phase, stability 263 272 278
Flory approximations, crumpled phase 275
Flory approximations, disordered system 391
Flory approximations, expansion 348 354—355 466n
Flory approximations, fractal phase 388
Flory approximations, one loop order 407
Flory approximations, phase separation 371
Flory approximations, self-avoidance 266—267 276 278 376
Flow diagrams 368 369 403 404 432
Fluctuating lines, and field theories 408
Fluctuation-dissipation theorem 62 70 159 380 383 389 393—394
Fluctuation-dissipation theorem, perturbative 396 399 401
Fluctuations 230—236 272 374
Fluid membranes 256 257—258 261—262 431
Fokker — Planck equation 4 65 394
Folded phase, molybdenum disulphide 274
Forest construction 264 318 320 321 322 334—335
Four loop calculations 434
Four point correlator 82
Four vertex model 160 225
Fourier transform methods, density distribution 116 208
Fourier transform methods, disorder model 391
Fourier transform methods, dynamic matric ansatz 93 94 95
Fourier transform methods, dynamical structure function 59—60
Fourier transform methods, flat phase stability 268
Fourier transform methods, free fermion systems 192
Fourier transform methods, Gaussian variational approach 442—443
Fourier transform methods, longitudinal and transverse projectors 454—456
Fourier transform methods, master equation 63
Fourier transform methods, normalization 280
Fourier transform methods, self-duality 82 85
Fourier transform methods, string expectation value 183
Fractal dimension and renormalization 385
Fractal dimension, aluminium foil crumpling 275—276
Fractal dimension, calculation 264 278 356 446
Fractal dimension, crumpled swollen phase 257 259
Fractal dimension, crumpling transition 263 264
Fractal dimension, graphite oxide 275
Fractal dimension, Sierpinsky gasket 264 278
Fractal exponent 273
Fractal phase 77 277 356 388
Free energy 265 266 279 374
Free energy, density 436 439 442
Free fermion approach as mathematical tool 5 51
Free fermion approach, boundary conditions 211—212 213
Free fermion approach, classification 175 178 181—187
Free fermion approach, dynamical properties 191—193
Free fermion approach, exact results 197—200
Free fermion approach, formalism 24 175
Free fermion approach, Hamiltonian 178 180 189 194
Free fermion approach, interacting particle system 199—200
Free fermion approach, nearest neighbour interaction 191
Free fermion approach, one dimensional 200
Free fermion approach, physical meaning 193
Free fermion approach, relaxation times 191—193
Free fermion approach, stationary states 191
Free fermion approach, translation invariant 175—176
Free propagator see Response function
Free “phantom” surface 280
Friction coefficient 401
Fugacity 408 412
Fusion, -pair annihilation process 183—184
Fusion, asymmetry 183
Fusion, branching process 167 169 191
Fusion, diffusion-limited 163 164 168—169 181
Fusion, reactions 72
Galilei transformation 66 199
Garden of Eden 160
Gauge theories, and random surfaces 256
Gaussian density profile 67
Gaussian disorder force 392
Gaussian elastic energy 280
Gaussian fields 390 413
Gaussian fixed point 365 369 404 432
Gaussian noise 377 390 392
Gaussian phase 386
Gaussian random walk 64—65
Gaussian variational ansatz 277 352 355 371 442—444
Gel electrophoresis 8 16 159 215—216
Gels, two-dimensional 278
Ghost coordinates 66 87
Gibbs measure 57
Glassy dynamics 389
Glauber dynamics and DLPA 74
Glauber dynamics and pair annihilation-creation process 51
Glauber dynamics, boundary conditions 213
Glauber dynamics, decoupling 185
Glauber dynamics, enantiodromic 164
Glauber dynamics, equations of motion 187
Glauber dynamics, equilibrium system 57 191
Glauber dynamics, free fermion systems 176
Glauber dynamics, Ising model 47—49
Glauber dynamics, nonfactorized state 191
Glauber dynamics, spin flip 13 49—50 76 213 214
Glauber dynamics, stochastic rules 188
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