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| Stanley H.E. — Introduction to phase transitions, and critical phenomena |
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| Предметный указатель |
acetylene 69
Alcohol 48
Aluminium-zinc alloy 101
Antiferroelectric 21 131 287ff
Antiferromagnet 89 124 240ff
Antiferromagnet, Heisenberg model 110 112 266
Antiferromagnet, Ising model 123f
Argon 10 48 69 105
Berlin - Kac spherical model see “Spherical model”
Binary alloy 18 100 111 130
Binary mixture 18 21 238-239 247 266
Bohr magneton 80
Born approximation 206
Bose fluid 48 110f 174
Bragg reflection 13 241
Brillouin doublet 211ff 228ff 264 268
Brillouin function 81f
Buckingham - Gunton inequalities 63ff 196
Bulk viscosity 203 268
Carbon dioxide 47-48 69 222ff 229ff 264ff 256
Carbon monoxide 10 69
chemical potential 33 61 261
Chromium tribromide 46-47 186ff
Clausius equation of state 68
Cluster approximations 90
Cobalt chloride 14
Cobalt oxide 12 13
Coefficient of thermal expansion 26f 36f
Coexistence curve 9 49 76 222
Coherence length see “Correlation length”
Compressibility 7 13 26ff 36
Compressibility, critical exponent of 43 49
Compressibility, density fluctuations and 96ff
Compressibility, experimental 49 222f 229
Compressibility, hydrodynamic region 216
Compressibility, Landau theory 171
Compressibility, ratio 72-73
Compressibility, van der Waals theory 49 70 73ff
Conformal transformations 168ff
Convexity relations, fluid 28ff
Convexity relations, magnet 36ff
Coopersmith inequality 63ff 66
Correlation function 62 176 197 204ff
Correlation function, density-density, dynamic 204ff 236
Correlation function, density-density, hydrodynamic 278
Correlation function, density-density, Ornstein - Zernike 96ff 100ff
Correlation function, direct 102f
Correlation function, energy-energy 66
Correlation function, pair, comparison with theories 199ff 202
Correlation function, pair, exponents 46f 63
Correlation function, pair, Kadanoff construction 194ff
Correlation function, pair, lattice-gas model 261
Correlation function, pair, Ornstein - Zernike theory 94 98ff
Correlation function, spin, dynamic 206 210 240
Correlation function, spin, expansion of 138 146ff
Correlation function, spin, exponent 64
Correlation function, spin, Ising model 119 121 124ff
Correlation function, spin, lattice-gas model 262f
Correlation function, spin, Ornstein - Zernike theory 98 107
Correlation function, total 105ff
correlation length 46 66 224 240
Correlation length, inverse 106 210 214 246
Critical isochore 76 204 222f 231
Critical isotherm 43 62 86
Critical isotherm, Landau theory 171
Critical isotherm, van der Waals theory 49 74
Critical opalescence 6ff 98 100 217
Critical region 79 199
Critical-point exponent 9 14ff 17 39ff
Critical-point exponent, definition 39
Critical-point exponent, inequalities 63ff
Curie constant 83ff
Current energy 276ff
Current momentum 276ff
Cyclohexane-aniline mixture 238-239 266
Debye persistence length 104
Density, energy 276ff
Density, fluctuations 96ff
Density, momentum 276ff
Density, number 26 94ff 100ff 207 276ff
Dysprosium 267
Einstein theory 226
Electric Dipole 206
Enthalpy 22ff 122 126 271 274
entropy 22ff 122ff 218
ethane 69 73
Ether 48
ethylene 69 73
Europium oxide 112
Europium sulphide 47 91 112
exchange interaction 89
F model of antiferroelectric 287ff
Face-centred cubic lattice 167f 161
Ferroelectric 18ff 131 172 286ff
Ferromagnet 8 79
Ferromagnet and mode-mode coupling 267
Ferromagnet, experimental results 46
Ferromagnet, exponents for 42
Ferromagnet, Heisenberg 21 91 110f
Ferromagnet, Ising model 61 64 123f
Ferromagnet, mean field theory 82
Ferromagnet, scaling law hypothesis 186ff
Fisher inequality 66 196
Fixman correction 226ff
Fluctuation-dissipation result 27 98 120 147 262 276
Fusion curve 2
Gadolinium 267
Gap exponent 49ff 63 87 184ff
Generalized homogeneous function 178ff 194f 197 272ff
Gibbs potential 22ff
Gibbs potential in Ising model 116 122 133 172
Gibbs potential in Kadanoff construction 193f
Gibbs potential in Landau theory 168 172
Gibbs potential in mean field theory 81 87 92
Gibbs potential, expansion of 137
Gibbs potential, exponents 46 60f
Gibbs potential, high-temperature expansion 146
Gibbs potential, scaling law hypothesis 181ff 274
Glauber model 280ff
grand canonical ensemble 94 162
Griffiths inequalities 38 66ff 186
Hamiltonian 36f 134 137 161
Hamiltonian, Heisenberg 89f 110ff
Hamiltonian, Ising 110 116ff 124 131 138 281f
Hamiltonian, Kadanoff construction 191ff
Hamiltonian, lattice-gas 262
Hamiltonian, mean field theory 80 89 91
Hamiltonian, spherical 110 131
Hamiltonian, Vaks - Larkin 110
Hard-sphere potential 96
Heisenberg models 9 16 17 76 110ff
Heisenberg models, exchange interaction 79
Heisenberg models, expansion methods 136f 166
Heisenberg models, exponents 47f 61 161 174 200f
Heisenberg models, ferromagnet 21 37
Heisenberg models, Hamiltonian 110ff
Heisenberg models, high-temperature limit 146
Heisenberg models, inequalities 63 66
Heisenberg models, mean field approximation to 89ff
Heisenberg models, susceptibility 134
Helium 3 12 19ff 48 61 69ff 69 111 233 267
Helmholtz potential 22ff
Helmholtz potential, Landau theory 168 ff 172
Helmholtz potential, Maxwell construction of 70ff
Helmholtz potential, scaling law hypothesis 182 272ff
Holmium 267
Homogeneous function 18 48 176ff 244
Hydrodynamics 119 202 232 249
Hydrodynamics and scattering 221 223f 228f
Hydrodynamics, equations of 247 276ff
| Hydrogen 48 69
Ideal gas law 3 67f 76
Inequalities 17 63ff
Iron 240
Ising model 8ff 16 203 286 one-dimensional” “Ising two-dimensional” “Ising three-dimensional”)
Ising model and Glauber model 280ff
Ising model and Kadanoff construction 192ff
Ising model and Landau theory 174
Ising model and lattice-gas model 260ff
Ising model and scaling law hypothesis 191 199ff
Ising model and van der Waals theory 76
Ising model, approximation methods 164ff
Ising model, exponents 64
Ising model, ferromagnet 21 37 61 288
Ising model, Hamiltonian 110ff
Ising model, one-dimensional 113ff 265
Ising model, one-dimensional, Hamiltonian 138
Ising model, Pade approximants 164f 166
Ising model, three-dimensional 17
Ising model, three-dimensional, expansions for 156ff
Ising model, three-dimensional, experimental values 226
Ising model, three-dimensional, exponents 46ff 50 108 166ff
Ising model, three-dimensional, high-temperature expansion 139
Ising model, three-dimensional, inequalities 64 61 63 66f
Ising model, two-dimensional 14ff 44 47f 134 136 265ff
Ising model, two-dimensional and correlation functions 107
Ising model, two-dimensional and Landau theory 172 174
Ising model, two-dimensional and scaling law hypothesis 191 199f
Ising model, two-dimensional, expansions 166f
Ising model, two-dimensional, exponents 60 108 144
Ising model, two-dimensional, Heisenberg exchange interaction and 144
Ising model, two-dimensional, high-temperature expansion 139
Ising model, two-dimensional, inequalities 64 69 61 63 66
Ising model, two-dimensional, Pade approximants 165
Isobutyric acid-water mixture 266
Josephson inequality 66f 196
Kadanoff construction 191ff
Kawasaki function 239
KDP model of ferroelectric 287ff
Krypton 10
Lambda-point 20
Landau - Placzek ratio 214 216 232 268
Landau theory 38 48 167ff
Lande factor 80
Langevin function 82
Latent heat 31f
Lattice-gas model 4 9 61 260ff
Law of corresponding states 8 72ff 88f
Law of rectilinear diameter 7
Legendre transformation and the scaling hypothesis 273f
Lennard - Jones potential 96 260
Lenz - Ising model 111
Liquid crystals 172
Long-range order 6
magnetic moment 4 16
Magnetic moment, antiferromagnet 242
Magnetic moment, Ising model 8
Magnetic moment, mean field theory 79f
Magnetic moment, paramagnet 43
Manganese fluoride 11 240ff
Maxwell construction 70 170
Maxwell relations, fluid systems 24ff 71
Maxwell relations, magnetic systems 34f 65ff.
Mean field theory 76ff 109 271f 284ff
Mean field theory and dimensionality of lattice 116f 149ff
Mean field theory and exchange interaction 79ff
Mean field theory and Ising model 163ff
Mean field theory as infinite dimensionality limit 168f
Mean field theory of phase transitions 80ff 119
Mean field theory, exponents 48 60 84ff 171 176
Mean field theory, inequalities 66 66 200f
Mean field theory, specific heat 138
methane 10 69 73
Mode-mode coupling theory 203 234ff
Molecular field parameter 82ff
Molecular field theory see “Mean field theory”
Neon 10
Nickel 47 240
Nitrogen 10 69 73
Number density 26 96ff 276ff
Order parameter 3 9ff 20 33
Ornstein - Zernike - Debye plot 104ff
Ornstein - Zernike theory 47f 94ff 226
Oxygen 10 48 69
Pade approximants 63 168ff
Pair correlation function see “Correlation function”
Paramagnet 43
Paramagnet, Langevin theory 79
Partition function and Heisenberg model 113
Partition function and Ising model 16f 117ff 126 130ff 266ff
Partition function and lattice-gas model 261
Partition function, expansion of 136ff
Partition function, grand canonical 94 261
Partition function, high-temperature expansion 146ff
Partition function, mean field theory 81 92
Partition function, spherical model 113 128
Partition function, van der Waals 77 79
Phase transitions 18ff 119 130
Phase transitions, first order 16 30ff
Phase transitions, higher order 16 32
Phase transitions, van der Waals theory of 67 ff
Potassium dihydrogen sulphate 287ff
Rayleigh component 211ff 218 236ff
Rayleigh linewidth 219ff 236ff
Relaxation, rate 244f 249
Relaxation, time 281 286
Retarded time 207
Rubidium manganese fluoride 112 240 266
Rushbrooke inequality 63ff 63f 173 186
Scaled magnetic field 186
Scaled magnetization 186
Scaling law hypothesis and dynamic scaling 233f 246
Scaling law hypothesis, degree of homogeneity 176
Scaling law hypothesis, dynamic 198 226 233ff
Scaling law hypothesis, exponents 182
Scaling law hypothesis, hydrodynamics and 203
Scaling law hypothesis, inequalities and 64 60 66
Scaling law hypothesis, Kadanoff construction 191
Scaling law hypothesis, mode-mode coupling and 248 262
Scaling law hypothesis, static 17f 48 176ff 272ff
Scattering 98 ff 206ff 240ff 276
Scattering, cross section 202 206 210 240
Scattering, intensity 103ff 206 209ff 231 242f
Shape function 234ff
Shear viscosity 203 249
Short-range order 6
Specific heat and hydrodynamics 212 216
Specific heat for ferroelectric 228f
Specific heat, 13ff 26ff 36f
Specific heat, expansion 138 166f
Specific heat, experimental values 69f 229 232
Specific heat, exponents 44f 49ff
Specific heat, high-temperature expansion 143f
Specific heat, inequalities 63f 61
Specific heat, Ising model 122ff 271
Specific heat, Landau theory 171f
Specific heat, lattice-gas model 262f
Specific heat, mean field theory 86f
Specific heat, van der Waals theory 76
Spherical model 17 113ff 166
Spherical model, exponents 47 108 200f
Spherical model, Hamiltonian 110
Spherical model, high-temperature limit 166
Spherical model, inequalities 64ff
Spherical model, infinite spin dimensionality limit 128ff 134 168
State function 22ff
Structure factor 98ff 106f 197ff 202 212
Structure factor, dynamic 204ff 216ff 276
Structure factor, static 205
Sublimation curve 2
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