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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 |
Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
Ïðåäìåòíûé óêàçàòåëü
Multilocal operator product expansion (MOPE), important technique 259 Multilocal operator product expansion (MOPE), notation 454 Multilocal operator product expansion (MOPE), one-loop order 298 Multilocal operator product expansion (MOPE), residue 425 Multilocal operator product expansion (MOPE), Zimm model 387 Multiple occupancy 41 N-Coloured membranes 408—434 Nagel — Schreckenberg model 155 157 Natural phenomena see also Biological systems Complex Natural phenomena, modelling 3—4 6—13 43 47 104 215—223 258—260 Natural phenomena, universality 256 Nearest neighbour, annihilation rate 195 Nearest neighbour, distances, ordering 318 Nearest neighbour, hopping 84 85 Nearest neighbour, interaction 191 194 Nearest neighbour, processes, one dimensional 47 Nearest neighbour, spin-spin correlation 206 Nernst — Einstein relation 215 Nest formulation 318 323 324 327 328 Neutron scattering methods 217 385 Newton’s equations of motion 17 19 Next nearest neighbour interactions 156 Noise, correlation 386 Noise, function 4 Noise, Gaussian 377 390 392 Non-Abelian symmetry 80 82 Non-self-avoiding membrane see Phantom membrane Nonequilibrium systems, asymptotic behaviour 53—71 Nonequilibrium systems, behaviour 80—83 Nonequilibrium systems, boundary conditions 103 Nonequilibrium systems, exact solution 4 Nonequilibrium systems, exclusion process 103 Nonequilibrium systems, maintaining 89 Nonequilibrium systems, modelling 3 104 Nonequilibrium systems, phase transitions 6 Nonequilibrium systems, randomness 4 Nonequilibrium systems, statistical mechanics 3 Nonergodic systems 66 Noninteracting particles 116—117 Nonlinear growth 373 Nonlocal interactions, polymer 259 Nonrenormalization, long-range interaction 303—305 Nonstochastic generators 28 Normal ordering 286—287 293 395 396 Normalization 84 294 451—452 see Notation 239—241 453—454 Nuclear magnetic resonance experiments 26 Number operators 20 Numerical methods 5 15 28 113 276—278 363—364 see O (N) model, applications 429—434 O (N) model, behaviour for large N 427—429 O (N) model, field theoretical description 256 413 414 O (N) model, generalization to membranes 421—426 O (N) model, high-temperature expansion 260 409—412 Occupancy, unrestricted 29 On-site annihilation or interaction 6 One-dimensional interfaces, fluctuation 43 One-loop order 292 296 298—303 367 381—385 407 Operator product expansion (OPE) 259 286—290 462 Order, optimal 446 448 Overfeeding 135 147 153 Pair annihilation process see also Annihilation process Pair annihilation process and correlation 195 Pair annihilation process on a ring 194—195 Pair annihilation process, diffusion-limited 73 163 181 193—211 Pair annihilation process, integrability 50—51 Pair annihilation process, rate 222 Pair annihilation-creation process 51 55—56 176 185 188 191 Pair annihilation-fusion process 193 Pair creation process 213—214 Pair exchange process 80 Pair excitations 201 Pair transition matrix 46 Parallel updating 28 137 156 158 160 Particle, -antiparticle excitations 40 Particle, -hole symmetry 9 82 126 134 139 147 155 227—228 Particle, absorption 88 Particle, current 61—62 Particle, current, inward and outward 122 Particle, current, nonvanishing 110 Particle, current, stationary 89 110 156 Particle, density 5 183 Particle, distributions 80 82 Particle, energies 111 Particle, injection 88 226 Particle, interaction 150 Particle, number 197 Particle, number, calculation 203 204 Particle, number, change 197 Particle, number, conservation 55 61—62 99 105 109 125 165 Particle, number, decrease 211 Particle, number, distribution 205 Particle, number, dynamical 218 Particle, number, even and odd 197 198 Particle, number, fluctuations 206 Particle, number, independent of bias 203 Particle, parity operators 177 Particle, reservoirs 89 98 99 Particle, systems see also Interacting particle systems Particle, systems and spin models 24 27 30 Particle, systems, late time behaviour 59—69 Particle, systems, two-type 27 118 121—122 Particle, transport, boundary conditions 44 Partition function, equilibrium distribution 106 Partition function, free 427 Partition function, free Gaussian manifold 435 Partition function, high-temperature expansion 409 Partition function, Ising model 32 431 Partition function, membrane 359—361 Partition function, polymer 314—315 408 Partition function, self-avoiding membrane 436—437 Partition function, singularities 431 Partition function, stationary distribution 62 Path integrals see Feynman integral Pauli matrices and fermionic operators 200 202 Pauli matrices in Heisenberg quantum formalism 33 41 48 106—107 Pauli matrices, boundary conditions 178 Pauli matrices, commutation relations 177 Pauli matrices, equations of motion 182 Pauli matrices, notation 20 239 Pauli matrices, properties 26 Pauli matrices, two-dimensional 203 Peirls contour 231 Persistence, distributions 83—84 Persistence, probabilities 75—77 Perturbation and correlations 99 Perturbation, anomalously small response 389 Perturbation, diffusion 61 124 Perturbation, expansion, 257 Perturbation, expansion, critical exponents 351—352 Perturbation, expansion, extrapolation 347—348 Perturbation, expansion, near critical point 366 Perturbation, expansion, O(N) model 409—410 412 Perturbation, expansion, polymer Hamiltonian 414 Perturbation, expansion, R-operation 298 Perturbation, expansion, second-order terms 288 Perturbation, expansion, self-avoiding membrane 435 Perturbation, expansion, simplification 313—314 Perturbation, expansion, variational method 352—354 Perturbation, large order behaviour 437—450 Perturbation, local 68 123—124 209 Perturbation, spread and decay 168 209 Perturbation, stationary state 59—60 Perturbation, theory 281 284—285 379 380—381 Perturbation, theory, analysis 117 Perturbation, theory, corrections 270—273 Perturbation, theory, divergent 438 Perturbation, theory, first-order 439 Perturbation, theory, fixed point 389 Perturbation, theory, large order results 434—450 Perturbation, theory, polymers 372—374 Perturbation, theory, renormalizability 318—340 371 446 Phantom membranes 263 264 276 319 356 371 434 436 437 Phase, angle 43 Phase, diagrams 138—139 Phase, diagrams and boundary densities 151 Phase, diagrams and current-density relation 144 153 Phase, diagrams and particle interactions 150—151 Phase, diagrams, construction 153 Phase, diagrams, mean field approximation 126 127 Phase, self-avoiding membrane 386 Phase, separator 105 132—133 151—152 364 388 Phase, transitions and domain wall diffusion 171 Phase, transitions and long-range order 125 Phase, transitions and shock dynamics 127 Phase, transitions, boundary-induced 44 52 103 104 126 143—154 157 Phase, transitions, ferromagnetic systems 32 Phase, transitions, field-induced 169 172 Phase, transitions, first-order 147 172 Phase, transitions, nonequilibrium systems 6 Phase, transitions, prediction 131 Phase, transitions, second-order 34 135 147 Phase, transitions, surface 230 Phase, transitions, symmetry breaking 256 Physical phenomena see Natural phenomena pinning 389 Plane wave ansatz 36 66—67 183 Plaquette models 256 258 277 Poles see Scattering amplitude Polymerized membranes see Tethered membranes Polymers see also Tethered membranes Polymers, branched configurations 431 Polymers, correlation function 315 Polymers, defects 8 9 Polymers, directed 158 Polymers, Edwards model 439—441 Polymers, exact results 218 445 Polymers, exciton dynamics 13 176 222—223 Polymers, fully stretched 407 Polymers, globules 442 Polymers, modelling 52 Polymers, nonlocal interactions 259 Polymers, open and closed 412 413 Polymers, perturbation theory 372—374 413 Polymers, random flows 390 Polymers, renormalization 412—419 Polymers, reptation 8—10 Polymers, self-avoiding 256 Polymers, stiff and flexible 375 Polymers, theory 305—317 Polymers, tricritical point 363 Polymers, two-dimensional network 274 Polymers, two-loop calculations 350 Polymers, variational estimates 445—449 Potential (longitudinal) disorder 389 391 395 404—405 Potts model 77 214 Power law, correction 133 Power law, decay 72 196 Power law, divergence 124 Prepoint discretization see Ito (prepoint) discretization Probabilistic approach 5 15 17 Probability, distribution, master equation 17—18 Probability, distribution, time-dependent 90 Probability, vector 20 Product measures 25 105 110 117 128 Projection operator 56 Protein synthesis see Biopolymerization Pure annihilation process 206 Pure fusion process 213 Pure self-avoidance, fixed point 451 Quantum algebra 51 106n 120 158 Quantum chain see Heisenberg quantum chain Quantum Quantum field theory 257 408 Quantum Hamiltonian in modelling 5 Quantum Hamiltonian, construction 13—14 26—27 Quantum Hamiltonian, DLPA 49 Quantum Hamiltonian, first-passage time distribution 83 Quantum Hamiltonian, formalism 21—22 80—81 Quantum Hamiltonian, Heisenberg ferromagnet 10 Quantum Hamiltonian, integrable 50 Quantum Hamiltonian, interacting particle systems 41—50 Quantum Hamiltonian, master equation 17—29 Quantum Hamiltonian, mathematical properties 33—35 Quantum Hamiltonian, nonstochastic 28 Quantum Hamiltonian, particle and spin systems 30 Quantum numbers 31 39 40 41 112—113 Quantum spin representation 6 14 30 45 51 72 90 97 Quasi-one-dimensional systems 125 Quasi-stationarity 79 99—101 R-operation (subtraction operator) 298 318 319 322 323 328 329 336 337 Radioactive labelling 44—45 Radius of gyration 391 457 Random force field, correlation 390—391 Random sequential absorption 49—50 101 167 Random sequential updating 28 Random stress field, quenched 279 Random surfaces, and gauge theories 257 Random variables, in description of nonequilibrium systems 4 Random walk in disordered media 28 Random walk, annihilating 175 199—200 Random walk, biased 113 122—123 146 148—149 Random walk, domain wall 122—123 135 143 148 Random walk, Edwards model 436 Random walk, free 436 Random walk, Gaussian distribution 64—65 Random walk, lattice 23 82 Random walk, nearest neighbour moves 18 Random walk, shock 173 Random walk, single loop 411 Random walk, two-class particles 122 Random walk, unbiased 153 172 Randomness, ASEP 160 Randomness, nonequilibrium systems 4 Randomness, traffic flow models 154 Rate equation 4 5 172 196 Reaction rate 196 Reaction-diffusion rates, alternating see Spin flip rates Reaction-diffusion systems with nearest neighbour interaction 162—174 Reaction-diffusion systems, critical phenomena 70—71 Reaction-diffusion systems, enantiodromy 162—164 Reaction-diffusion systems, exact results 5 Reaction-diffusion systems, experimental realizations 215—223 Reaction-diffusion systems, Glauber dynamics 188 Reaction-diffusion systems, integrability 50—51 Reaction-diffusion systems, lattice gas modelling 13 Reaction-diffusion systems, mean field approximation 4 Reaction-diffusion systems, modelling 3 Reaction-diffusion systems, quantum spin representation 72 Reaction-diffusion systems, rate equations 4 172 Reaction-diffusion systems, single-species 45—47 162—174 Reaction-diffusion systems, statistical approach 3 Recursion relations 127 128 129 137 160 Red blood cells 256 273 274 Redundant operators 307—308 464 Reflecting boundaries 66 67 104 105 111 Reflecting principle 66 101 Relaxation, boundary effects 98 Relaxation, DNA 217—219 Relaxation, exponential 99 Relaxation, late time 110 Relaxation, order parameter 99 Relaxation, rate, biased 171 Relaxation, times 142 170—171 218 Relaxation, times, and system size 63 Relaxation, times, finite systems 62—63 65—66 Relaxation, times, free fermion systems 191—193 Relaxation, times, infinite systems 65—66 Relaxation, times, polymers 218 Renormalizability see also Renormalization criteria Renormalizability, theorem 322
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