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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
ßçûê: Ðóáðèêà: Ôèçèêà /Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö ed2k: ed2k stats Ãîä èçäàíèÿ: 2001Êîëè÷åñòâî ñòðàíèö: 498Äîáàâëåíà â êàòàëîã: 19.03.2006Îïåðàöèè: Ïîëîæèòü íà ïîëêó |
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Ïðåäìåòíûé óêàçàòåëü
Renormalization, criteria 333—334 381 387 Renormalization, disorder 397—399 Renormalization, dynamic 381—385 Renormalization, factors see Z factors Renormalization, generalization to N colours 420—421 Renormalization, group, 446 464 Renormalization, group, analysis 377—378 Renormalization, group, approach 13 70—71 72 104 256 Renormalization, group, calculations 206 Renormalization, group, critical phenomena 5 Renormalization, group, equations 392—393 456—457 Renormalization, group, factors 298 Renormalization, group, flow 402 403 404 431—432 434 Renormalization, group, functions 290 302 342—343 347 358 424 439 Renormalization, group, polymers 412—419 Renormalization, O(N) model 414—418 Renormalization, one-group order 298—303 Renormalization, perturbative 318—340 Renormalization, self-avoidance 356 Renormalization, strategy 297—298 Reparametrization invariance 458 Reptation 8—10 43 217—219 Reptons 9 215 216 217 218 Reservoir coupled systems 88—89 100 103 125—126 148 153—154 see Reshetikin relation 52 Residue extraction 310—313 399—402 425 449—450 Response, fields 378—379 388 Response, function 379—380 383 394 Resummation procedures 256 349 446—447 Reverse Coleman — Weinberg mechanism 260 430 431 432 Reversibility (time—reversal symmetry) 58—59 Rooted union and subtraction 325 Rotational symmetry, breaking 431 Roughness exponent 271 272—273 403 Rouse model 259 377 385 386 387 388 Rubenstein — Duke model 215 216 220 Saddle point methods 436 437 438 Scaling and self-similarity 3 Scaling, arguments 377—378 Scaling, autocorrelation function 385 Scaling, behaviour 101 403 456 Scaling, exponents 65 357 360 439 446 457 464 see Scaling, function 210 347—348 367 417 Scaling, invariance 72 Scaling, limit 446 Scaling, radius of gyration 391 Scaling, relation 428 Scaling, theory, Widom 230 Scaling, time dependent correlation function 142—143 Scaling, variables 87 Scattering amplitude 86 87 101 111 115 166 Schroedinger equation 5 19 21 315 Schwinger formulation 318 Second virial coefficient 449 Self-avoiding systems, interaction 314 Self-avoiding systems, membranes, and phantom membrane 434 Self-avoiding systems, membranes, flat phase 356 Self-avoiding systems, membranes, grand canonical ensemble 458 Self-avoiding systems, membranes, large orders and instantons 435—439 Self-avoiding systems, membranes, modelling 264 Self-avoiding systems, membranes, numerical simulations 276—278 Self-avoiding systems, membranes, phases 386 Self-avoiding systems, membranes, two-loop extrapolation 355—356 Self-avoiding systems, physical information 347—356 Self-avoiding systems, polymers 256 263 Self-avoiding systems, renormalization 356 Self-avoiding systems, restricted 277 Self-avoiding systems, summing over 411 Self-avoiding systems, tethered membranes 258—259 Self-duality 81 104—110 Self-enantiodromy 74—75 81n 82 108—110 113 211 Self-energy 361 Self-similarity 3 Semi-infinite systems 98 100 Shear and domain growth 389 Shear, modulus 267 269 272 Shock as domain wall 144—145 Shock in biopolymerization 12 Shock in traffic models 155 Shock, ASEP 12 Shock, branching and coalescence 150—151 152 Shock, diffusion and coalescence 117—123 Shock, distribution 118 119 120 121 173 Shock, dynamics 6 127 Shock, evolution 195 Shock, formation 104 Shock, multiple 159—160 Shock, random walk 173 Shock, stability 124—125 Shock, structure 52 Shock, velocity 118 123 143 172 Short-range interactions and long-range order 54 Short-range interactions, correlations 391 404 407—408 Short-range interactions, disorder 388 406 Short-range interactions, N-component spins 255 Short-range interactions, repulsive 256 368 Sierpinsky gasket 264 278 Similarity transformations 72—74 167—168 175 176 178 Similarity transformations in free fermion models 175 176 178 Similarity transformations, annihilation-fusion process 206 Similarity transformations, density profile 167—168 Similarity transformations, diagonal 105 Similarity transformations, equivalence and enantiodromy 72—74 Similarity transformations, factorized 101 189 191 Similarity transformations, stochastic 74 185 Similarity transformations, typical results 5—6 Single-site basis vectors 239 Singularities 430 431 449 Site exclusion 194 Six-vertex model 5 35 52 160 SLAC approach 71 Smoluchowski theory 4 13 196—197 209—210 212 Sociological behaviour 3 Solid membranes see Tethered membranes Solids, one-dimensional 33 Solitons 104 Space-time anisotropy 68 Spanning tree, construction 329—330 Spatial correlation length 142 Spatial distribution function, normalized 60 Specific heat exponent 354 431 Spectral properties 62 68 72 Spectrin, in red blood cells 257 273 274 Spin, -spin correlation, nearest neighbours 206 Spin, antiparallel 36 188 Spin, configuration, Ising model 32 33 Spin, decoupling 427 Spin, flip, and pair creation-annihilation 188 Spin, flip, events 189 Spin, flip, Glauber dynamics 48 49—50 76 77 213 214 Spin, flip, in free fermion systems 186 Spin, flip, Kawasaki dynamics 43 68 108 Spin, flip, rates 212 Spin, flip, symmetry 76 Spin, flip, term, ladder operators 35—36 Spin, flip, times 49—50 69 Spin, flip, transformation 179 Spin, interaction 36 Spin, matrices 42 Spin, operators 107 Spin, orientation 32 Spin, parallel 188 Spin, relaxation 3 108 162—164 212 Spin, systems, and particle systems 24 27 30 Spin, systems, classical and quantum 30 53 Spin, systems, two-state 20 21 23 Spin, systems, wave 37—38 81—82 Spin-(1/2) operators 108 175 Spring and bead model 263 279 Stationary algebra 92 Stationary distribution, ASEP 117 Stationary distribution, exponential 66 Stationary distribution, grand canonical 62 Stationary distribution, limiting 54 Stationary states, and SU(2) symmetry 79—80 Stationary states, classification 79—80 Stationary states, construction 137—138 Stationary states, exclusion process 95—97 Stationary states, free fermion systems 191 Stationary states, Heisenberg chain 80 Stationary states, infinite time limit 53—54 Stationary states, nonequilibrium systems 53 Stationary states, obtaining 5—6 Stationary states, perturbation 59—60 Stationary vector 53—54 Statistical mechanics 3 5 Statistical rotationally invariant force field 390 Steady state selection 125 144—148 Step function 107—108 117—118 135 158 Stochastic processes 6 72—78 Stochasticity conditions 178—180 String expectation values 164 166—167 183 String theory 256 257 260 262 408 Strong coupling 404 SU(2) symmetry and particle injections and absorption 88 SU(2) symmetry and scaling behaviour 101 SU(2) symmetry and stationary states 79—80 SU(2) symmetry, breaking 90 SU(2) symmetry, Heisenberg quantum spin system 34 35 42 Subdivergences 346—347 Subdominant operators 259 Submanifold 162 164—165 Subtraction scheme 409 Surface, configurations 431 Surface, growth 3 Surface, phase transitions 230 Symmetric exclusion process 43 79—102 217 see Symmetric Symmetric Hamiltonian, Hermitian 58 Symmetric simple exclusion process (SSEP) 10 Symmetry, breaking, phase transitions 255 Symmetry, breaking, rotational 431 Symmetry, breaking, spontaneous 16 32 68—69 375 Symmetry, non-Abelian 80 82 Symmetry, quantum algebra 51 Symmetry, time reversal 58—59 Tableau formalism 318 324—327 335—340 Tagged particle process 44—45 50 52 214 Taylor expansion 321 322 333 409 Temperature, increase 389 Temperley — Lieb algebra 50 159 188 211 213 220 Tensor product notation 239—240 Tensorial structure 23—26 294 Tethered membranes, anisotropy 375 Tethered membranes, critical behaviour 259 Tethered membranes, dynamics 377—388 Tethered membranes, experimental realizations 262—265 273—276 Tethered membranes, field theoretical treatment 279—305 Tethered membranes, generalized O(N) model 421—426 Tethered membranes, grand canonical ensemble 457 Tethered membranes, isotropically polymerized 374 Tethered membranes, long-range interaction 304—305 Tethered membranes, renormalization 318 417 Tethered membranes, structure 258 263 Tethered polymerized surfaces 256 Tetramethylammonium manganese trichloride (TMMC) 13 176 196 223 see Thermodynamic limit 67 110 119 120 131—134 138—139 212 Three-state systems 363 365—366 370—371 Three-state systems, exact solution 29 Time, evolution 76 Time, evolution, density profile 99 117—118 122 Time, evolution, effect of driving 203 Time, evolution, operator 18 22 56 69—70 83 86 109 Time, evolution, shock distribution 119 121 Time, evolution, spectral properties 6 72 Time, evolution, TASEP 136 Time, reversibility 58—59 Time, scale separation 69—70 223 Time, translation operator 5 TMMC see Tetramethylammonium manganese trichloride Totally asymmetric simple exclusion process (TASEP), as biopolymerization model 221 Totally asymmetric simple exclusion process (TASEP), collective velocity 147 Totally asymmetric simple exclusion process (TASEP), density profile 139 Totally asymmetric simple exclusion process (TASEP), exact results 148 150 Totally asymmetric simple exclusion process (TASEP), maximal current principle 144 Totally asymmetric simple exclusion process (TASEP), phase transitions 147 Totally asymmetric simple exclusion process (TASEP), physics 145 146 Totally asymmetric simple exclusion process (TASEP), with open boundaries 125—126 Tracer diffusion 44—45 89 101 220 Traffic models 3 12 118 122 123—124 148 154—157 160 Transfer matrices in two-dimensional vertex model 225—226 227 229 Transfer matrices, conserved charges 35 Transfer matrices, energy gap 69 Transfer matrices, equivalent 72 Transfer matrices, formalism 30 31 32 225—226 Transfer matrices, statistical mechanics models 5 Transfer matrices, vertex models 6 Transformation 73—74 179 182 189 Transition, amplitudes 166 Transition, matrices 45—46 Transition, probabilities 17 199—200 226 255 408 Translation invariance 128 291 Transverse disorder see Disorder nonpotential Transverse projector 391 454—456 Trapping 389 Tricritical point 259 363—371 464—466 Tricritical state 263 273 Trilocal operator 365 Truncation of series 349 350n Tubular phase, membrane 374—377 Two-body interaction 363 364 366 370—371 Two-loop order 259 340—347 349—350 355—356 Two-membrane contact operator 358 Two-particle transition probability 166 199—200 U/(l) symmetry 34 35 90 Ultraviolet (UV), convergence 294 322 334 381 423 Ultraviolet (UV), cutoff 272 280 Ultraviolet (UV), divergence 280 284 285 292 299 321 340 397 414 418 423 428 465 Ultraviolet (UV), finite property 281 301 438 Unbinding transition 371—374 Uniqueness 54—55 56 Universality, exclusion process 199 Universality, field theoretical formulation of O(N) model 414 Universality, interface fluctuations 230—236 Universality, large order behaviour, perturbation 437 Universality, nonequilibrium systems 3 Universality, physical systems 7 255 UV see Ultraviolet Vacancy excitation 193 Vacuum state 200 202 203 441—442 Van der Waals forces 363 Variational approximations 352—354 442—444 445—449 Vector representation, particle (spin) configuration 24 Velocity, collective 61—62 123 125 147 Velocity, pattern 388 Vertex models 51 225—229 viscosity see Drift velocity Voter model 49 162—163 Voter model, biased 163—164 185 Wave function 37 39 84 354 439 Wetting 371 Wick theorem 214 Widom scaling theory 230 Wilson — Fisher 446 World line, summing over 255 408 Wulff shape 230 XY model 6 266 Z factors and R-operation 318 Z factors and renormalizability 384 Z factors and variational approximation 351—352 Z factors at one-loop order 298 301—303
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