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Stanley H.E. — Introduction to phase transitions, and critical phenomena
Stanley H.E. — Introduction to phase transitions, and critical phenomena

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Название: Introduction to phase transitions, and critical phenomena

Автор: Stanley H.E.

Аннотация:

This monograph is intended to serve as an introduction to the interdisciplinary field of phase transitions and critical phenomena. It is a short book, and is not designed to review all of the recent developments in this rapidly-developing area. I have attempted, however, to provide an introduction that is sufficiently thorough that much of the current research literature can profitably be read.


Язык: en

Рубрика: Физика/Термодинамика, статистическая физика/Фазовые переходы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1971

Количество страниц: 308

Добавлена в каталог: 02.10.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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