|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Goldenfeld N. — Lectures on Phase Transitions and the Renormalization Group |
|
|
|
| Предметный указатель |
Amplitude ratio 132
Anisotropic exchange 274
Anomalous dimension 195 208 287
Anomalous dimension and solvability conditions 299
Anomalous dimension in PDEs 293
Anomalous dimension, consequence of renormalisation 309
Anomalous dimension, heuristic calculation 305
Anomalous dimension, occurence in linear problem 333
Anomalous pairing amplitude 137
Antiferromagnet 10 268
Approach to equilibrium 19 216 219
Assumption of renormalisability 313
asymptotic freedom 313
Asymptotic series 192 313
Atomic bomb 20
Auxiliary fields 82
Ballistic deposition 217
Barenblatt’s equation 296 357
Basin of attraction 241—243
Baxter model 32
Binary alloy 19
Binary fluid mixture 13
Bipartite 42
Block copolymers 224
Block spin transformation 231
Boiling 119
Boltzmann distribution 52
Borel summation 192 352
boundary conditions 24
Brownian motion 46 211
Bulk free energy density 25
Cahn — Hilliard equation 223
Characteristic equations 330
Characteristics 317
Classical spinodal 220 221
Clausius — Clapeyron relation 118
Coarse-grained Hamiltonian 237 259
Coarse-grained order parameter 148
Coarse-graining 230
Coarse-graining, generation of new interactions by 376
Codimension 29 140 171 243 246
Coexistence curve 7 220
Common sense 196 291
Compressibility 120 122 126 128 129
Configurational sum 73
Confluent singularity 132 279
Continuity fixed point 247
Continuous symmetry 54 335
continuum limit 154
Convexity 36—38
Cooper pair 137
Corrections to scaling 131 279 314
Correlation function 95 128 129 159 160 167 168 179 195 208 212 234 270
Correlation function, dimensional analysis of 193
Correlation function, longitudinal 337
Correlation function, scaling hypothesis for 206
Correlation function, transverse 337
correlation length 31 98 110
Coulomb’s law 26
Coupling constants 24
Critical exponents 8
Critical exponents, definition of 131
Critical exponents, difficulties in determination of 132 273
Critical exponents, non-universal 80
Critical exponents, table of values 111
Critical fixed point 243
Critical isotherm 107 205
Critical manifold 243 248
Critical point 7 119 247
Critical region 170
Critical slowing down 133 212
Crossover exponent 275 284 383
Crossover phenomena 185 271 383
Cubic anisotropy 276
Cumulant 373
Cumulant expansion 260 302 363
Cusp 11 279
Dangerous irrelevant variable 254 278 283 359 360
Data collapse 203
Debye screening length 27
Degeneracy 101
Delta function 155
Differential RG transformation 256 354 357
Diffusion equation 289
Dilation parameter 331
Dimensional analysis 6 8 19 20 288
Dimensionality 18 45 170
Disconnected diagram 373
Discontinuity 108
Discontinuity fixed point 247 267 269
Discrete symmetry 54
Discretisation 177
Disorder 59
Disorder, annealed 69
Disorder, quenched 68 276
Divergence 11 183 302
Divergence of perturbation theory 192
Divergence of perturbation theory, origin of 303
Don-symmetric 265
Drosophila 23
Dynamic critical phenomena 134
Dynamic scaling hypothesis 213
Dynamical seeding 202
Dynamical systems 24
Dyson’s argument 192 313 323
D’arcy’s Law 294
Early Universe 336
Effective Hamiltonian 149 231 237 259
Ehrenfest classification 14 172
Eight-vertex model 80
Einstein summation convention 175 244 340
Electromagnetic penetration depth 342
Electroweak theory 316 342
Energy-entropy argument 43 349
Equilibrium amorphous solid 62
Equilibrium volume 120
Equipartition of energy 179 340
EQUIVALENCE 74 79
Ergodic hypothesis 56
Ergodicity breaking 57 58
exchange interaction 34
Excluded volume 123
Exclusion principle 27
expansion 18 1
Expansion, cumulant 302
Expansion, e 18 351
Expansion, n 18 168
Expansion, perturbation 323
External leg 370
F model 32
Fermion 27
Ferromagnet 9
Ferromagnetic fixed point 266 269
Feynman diagram 370
Field theory 157 197 303 313 342 385
Fine structure constant 313
Finite size effect 31 133
Finite size scaling 279
Finite time blow-up 328
Fixed point hamiltonian 243 305
Fixed points 241 242
Fluctuation 135 175
Fluctuation dissipation theorem 209
Fluctuation-dissipation theorem 211
Fluctuation-induced first order transition 147
Fluctuations 17 174
Fluid mechanics 19
Fokker — Planck equation 211 226
Fourier transform 155 212
Free energy 15 25
| Free energy, Cahn — Hilliard 222
Free energy, coarse-grained 149
Free energy, Gibbs 118 138 140 149 163
Free energy, grand 73
Free energy, Helmholtz 118 139
Free energy, Landau 140 163
Free energy, scaling hypothesis for 206
Free field theory 174
Frustration 42
Fugacity 73
Functional 146 149 157
Functional derivative 157
Functional derivative, definition 157
Functional integral 115 152—154 186 288 303
Functional integral, measure 155
Gap exponent 203 359
Gaussian approximation 173 174 345
Gaussian approximation in ordered state 340
Gaussian fixed point 353 360
Gaussian model 354
Gaussian random function 210 277
Generalised isothermal susceptibility 157
Generating function 157
Geometry 20
Gibbs 15
Ginzburg criterion 169 175 185 355 360
Ginzburg — Landau theory 153 216
Goldstone mode 342
Goldstone modes 340
Goldstone’s theorem 335
Gram — Schmidt orthogonalisation 255
Grand free energy 73
Grand potential 73
Gravity 27
Green function 159 289
Hamilton 15
Hard spins 346
Harris criterion 276 278
heat capacity 11 126
Heat capacity at constant pressure 126
Heaviside function 227 303
Heisenberg model 32 54 267 336
Heisenberg model, effects of anisotropy 274
Helium 11 119 137 164 172 350
Holder inequality 39
Homogeneous nucleation 220
Hubbard-Stratonovich transformation 82 153 186 353
Hyperscaling 207
Iceberg 16
Infinite-range Ising spin glass 68
Infra-red divergence 183 345 351
Initial conditions 45
Instrumental resolution 133
Integral surface 329
INTERFACE 19
Interface, growth 19 217
Intermediate asymptotics 218 221 292
Intermediate asymptotics, first kind 292 301
Intermediate asymptotics, second kind 301
Intermediate vector bosons 342
Internal energy 43
Internal line 371
Internal momentum 371
Invariant 29
Invariant manifold 265
Inverse square law 26
Irrelevant eigenvalue 246
Irrelevant variables 254
Ising model 9 32 54 111
Ising model, crossover to 274
Isothermal susceptibility 204
Jacobian 128
Josephson scaling law 202 207 251
Kadanoff 18 230
Kepler’s law 5
Kosterlitz — Thouless transition 137 335 378
KPZ equation 219 288
Kramers — Kronig relations 214
Lagrangian 336
Lambda transition 11 172
Landau free energy 140 315
Landau theory 17 108 112 140
Landau theory for O(n) model 336
Landau theory, microscopic 153 162
Landau theory, microscopic interpretation 169
Landau theory, phenomenological 153 315
Landau theory, self-consistency 167
Langevin equation 210 218 288
Latent heat 14 119
LATEX 62
Lattice derivatives 177
Lattice gas 74 111 216
Law of corresponding states 17 125 134
Left eigenvectors 244 255
Level crossing 44
Linearis'd RG transformation 255
Linearised RG matrix 244
Linked cluster theorem 374 375 385 387
Liquid crystals 147 336
Local magnetisation 147
Local operators 24
Logarithmic corrections 170
Logarithmic divergence 131 352
London equation 215
Long range order 45 48 98 104 335 339 343 347
Longitudinal correlation function 337
Loop expansion 186
Low temperature expansion 85 101
Lower critical dimension 45 344 346 384
Lower critical dimension, continuous symmetry 345
Lower critical dimension, discrete symmetry 49
Magnetic dipoles 9
Magnetisation 18 45
Magnetisation, definition 45
Majority rule 258
Marginal eigenvalue 246
Maxwell’s equal area rule 121
Maxwell’s equal area rule, magnetic systems 164
Mean field theory 17 69 85 104 123 135
Mechanical equilibrium 121
Mermin — Wagner theorem 55 345
Metastability 121 220
Method of characteristics 317 329
Method of sources 34
Minimal model 12 33 62 328
Modified Bessel function 161
Modified porous medium equation 295 304 333
Modulated phases 165
Momentum shell RG 351
Monomers 62
Monte Carlo simulation 279
Multicritical point 247
Multiple phase coexistence 247
Neural network 71
Nienhuis — Nauenberg criterion 269
Noise 210
Non-equilibrium phenomena 18
Non-equilibrium steady state 216
Non-equilibrium systems 202
Non-linear diffusion 287
Non-linear eigenvalue 299
Non-linear response function 214
Non-linear sigma model 32
Non-symmetric matrices 244 255
Notation 6 35 146 155 190 210 236 336 362
Nucleation 220
Ohm’s Law 13
Order of a transition 147
Order parameter 9 18 65 136
Order parameter, number of components of 136 173
|
|
|
| Реклама |
|
|
|
|
|
О проекте