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Domb C., Lebowitz J.L. — Phase transitions and critical phenomena (Vol. 11)
Domb C., Lebowitz J.L. — Phase transitions and critical phenomena (Vol. 11)

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Название: Phase transitions and critical phenomena (Vol. 11)

Авторы: Domb C., Lebowitz J.L.

Аннотация:

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 standard reference, particularly for graduate students.


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 210

Добавлена в каталог: 19.03.2006

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
$Z_{4}$ model      see "Ashkin — Teller"
$Z_{p}$ models      see "Clock models"
$\varepsilon$-expansion      86
Abelian, groups      200
Amplitude ratios      71
ANNNI model      168
Antivortex      22
Asano contractions      195
Ashkin — Teller (1943) model      2 3 26 35—36 51 71 115
Ashkin — Teller (1943) model, partition sum      34
Baxter's exact solution      32
Baxter's exact solution, Potts model      200
Baxter's exact solution, scaling dimensions      70
Baxter's exact solution, symmetric eight-model vertex      70
BCSOS model      30—32 34—40 43 45
BKL (Bicmont, Kuroda and Lebowitz)      167
Blume — Capel      133
Bose — Einstein statistics      4
Boundary conditions, antiperiodic      77 118
Boundary conditions, free      84
Boundary conditions, Gibbs states      see "Gibbs"
Boundary conditions, periodic      85 95
Boundary conditions, twisted      77
BPZ (Belavin, Polyakov and Zamolodchikov)      56—59 68 94 102—103 107 115 118—119
Charge, asymmetry      17
Charge, inversion symmetry      16
Charge, neutrality condition      5 18 19 106
Classical Heisenberg Ferromagnetic, two-dimensional anisotropic      166
Clock Models      23 24 28 201
Clock models, $Z_{p}$ model (or p-state)      2 23 26
Clock models, four-state      33
Cones (conical geometry)      86 88
Conformal transformations      56 64—65 78 79 80
Conformal transformations in two dimensions      89
Conformal transformations, bootstrap      103
contours      152—153
Contours with a parameter      161—162
Contours with interactions      167
Contours, contour models      155—156
Contours, rarefied ensembles      157 166
Contours, renormalized      168
Corner transfer matrix      88
Corrections to scaling      76
Correlation function, four-point      67 100—103 106 108 119
Correlation function, six-point      67
Correlation function, three-point      66 74 102 110
Correlation function, two-point      19 84
Correlation function, XY model      25
Correlation, length amplitudes      69
Coulomb gas (CG) model      2—51 59 102 104 119
Coulomb gas (CG) model, electromagnetic CG      16
Coulomb gas (CG) model, magnetic CG      14
Coulomb gas (CG) model, modified      105
Critical exponents      14 35 56
Critical exponents, points (line of)      29 45
Critical exponents, three-state Potts      42
Cubic model      3 50
Delta squared model      133—134 139 145 152 165 176
Delta squared model with an infinite spin      169
Delta squared model, Phase diagram      178
Delta squared model, spin-1      177 179
Delta squared model, spin-2      178
den Nijs formula      110
Dimer models      3
Directed percolation      60
Dirichlet series      170 172
domain walls      37 40—41 44 48
Dual string model      56
Dumbbell      12
Dynamic critical phenomena      79
Eight-vertex (8V) (symmetric) model      2 3 30 32 115
Energy-momentum tensor      56
Euler's relation      37
F model      30 31 35 39
F model, Kagome      46
Finite-size scaling      57 68 69 72 79 88 115 121
Finite-size scaling, corrections to      75
First-order phase transitions      137 139
Fixed points      11 13 15 16 18 60 81 90 160 163—164
Fixed points, Hamiltonian      61—3 65 67
FQS (Friedan, Qiu and Shenker)      57 58 99—100 103 107 111 113—116
Free fermions      108
Fugacity      4 6 8 9 11—19 25 26 31 38 45 49
Fugacity, electric      28
G (Griffiths, 1972)      131
G-phase      150
Gauge theories      140 172 197 200
Gaussian model      2 24 42 70 71 84 104 107 115 166
Gaussian model, discrete      27 28 29
Gibbs states      184—185 187—188 193—195
Gibbs states, boundary conditions      135—136 140—142
Gibbs states, phase rule      138
GKS inequalities (Griffiths — Sherman — Kelly)      183 184
Ground state entropy      200
Hard Hexagon problem      51
Hard square model      51
Heisenberg model      2
high-temperature expansion      48—49
Ice rule      31
Ising models (IM)      26 51 71 73 76—77 88 109 116 119 132 143 186 191
Ising models (IM) on a triangular lattice      144 172
Ising models (IM) on the sub-lattice      199
Ising models (IM), antiferromagnetic (FCC) lattice      134 139 145 168
Ising models (IM), ferromagnetic      139 144
Ising models (IM), frustrated      3 50
Ising models (IM), Hamiltonian      137
Ising models (IM), one-dimensional      142 193—194
Ising models (IM), phase diagram      148 180
Ising models (IM), spin-$\frac{1}{2}$ model      145 196
Ising models (IM), spin-1 model      128 130
Ising models (IM), spontaneous magnetization      50
Ising models (IM), three-dimensional      142
Ising models (IM), tricritical      59 111—121 118
Ising models (IM), two-dimensional      82 187 195
Ising models (IM), universality class      35
Isotropic n-vector      see "O(n) model"
Kac-determinant      56 57
Kac-determinant, formula      96 100 103 106 107 112 116
Kagome SOS (KSOS)      43
Kagome SOS (KSOS), F-model      46
Kagome SOS (KSOS), lattice      44—45
Kirkwood — Salsburg equations      157
Kosterlitz and Thouless transition (KT)      20 22 25—29
Landau — Ginzburg Hamiltonian      98
Landau — Ginzburg Hamiltonian, theory      114
Lattice-gas      5
Lattice-gas, animals      116
Lattice-gas, Lifshitz points      60
Line defects      88
Mean field theory      80 86
Melting      2
Minlos — Sinai method      157—158 161
Mobius transformation      66 97
Monomials      190
Monte Carlo method      73
Monte Carlo method, simulations      85 86
Multi-point correlation function      56 58 62
Multi-spin interactions      183
Multicritical point      81 113 114
Multiple correlation functions      50
Multiplicity functions      136 173
Neveu — Schwartz algebra      118
O(n) models      3 42 45—46 48—50 82 112 121
Operator product coefficients, expansion      63
Operator product coefficients, universal      75
Parafermion      see "Spinor"
Particle annihilation      9
Particle annihilation, fusion      8
Partition functions, crystal rarefied      154
Pecherski's model      149—150 172
Peierls, argument      130 167 168 193
Peierls, bound      130—131 155
Peierls, condition      129 141—145 147—149
Percolation      98 110
Periodic boundary conditions      68
Pirogov — Sinai (PS) theory      128—131 133—4 138 140—2 152 161 164 166 167—169 178 180 181 193
Polymers      42 50
Potts models      37—41 51 152 200
Potts models on the triangular lattice      45
Potts models, antiferromagnets      3 50
Potts models, critical point      45 51
Potts models, estate      3 36 59 70 78 108 111 121 167 201
Potts models, four-state      77 84
Potts models, RG flow lines      46
Potts models, three-state      26 84—85 102 111 115
Potts models, vector model      201 see
Quantum field theories (QFT)      56 166
Quantum Ising chain, tricritical      71
Quenched random systems      98
Ramond algebra      118
Recursion relations (Coulomb gas)      10
Reduced models      193
Renormalization group (Coulomb gas)      6 56 57 60
Renormalization group (Coulomb gas) in real space      183
Renormalization group (Coulomb gas), trajectories      15
Restricted geometries      68
Roughening models      27
Roughening models, transition      28
S (Sinai, 1982)      131
Scaling, Baxter model      70
Scaling, densities      61
Scaling, dimensions      62 68 77—78 86 88 93—94 96—97 103—104 106—107 110 117 121
Scaling, fields      19 57 60
Scaling, finite-size      115
Scaling, functions      82 85
Scaling, operators      73
Scaling, relation      115
Schwartz — Christoffel transformation      85
Schwinger — Dyson equations      68
Self-avoiding walks      83 84 112
Semi-infinite geometry      79
Semi-infinite systems      58 59 119
Six-vertex (6V) model      30 32 33 35 36 38—39 43 45
Solid-on-solid models (SOS)      28 29 43 59 113
Spherical model      79
Spinor operator or parafermion operator      42
Square Model      186—188 193
Star-triangle transformations      88
Stress tensor      90 105
Stress tensor, superstress      118
Structure factor      86
Super-symmetry      59 116
Superconformal transformations      117
Surface, critical behaviour      80 119
Surface, critical behaviour, critical exponents      82 120
Surface, critical behaviour, extraordinary transition      81 82 120
Surface, ordinary transition      120
Surface, ordinary transition, roughening      2
Surface, ordinary transition, scaling exponents      59
Surface, ordinary transition, special transition      81 82
Symmetric eight-vertex Baxter model      70
Symmetry-breaking, cubic and uniaxial      48 49 50
Tetracritical point      115
Toroidal geometry      76
Transfer matrix      58 70 72 73 74 79 88 94 108 109 118
Transfer matrix, corner      88
transitions      see "Surface"
Tricritical, cross-over exponent      40
Tricritical, indices (Ising)      51
Tricritical, Ising model      118
Tricritical, O(n) model      116
Tricritical, point      39
Tricritical, three-state Potts      42
Triple point      128
TSOS (Triangular solid-on-solid) model      44 46
Ultraviolet (uv) cut-off      4
Universal-amplitude      84
Universal-amplitude, quantities      72
Universality      3 39 51 59 71 96 97 100 107
Ursell functions      173 174
Van Hove theory      80
Virasoro algebra      56 58 95 97 98 100 117
Vortex excitations      2
Vortex excitations, fugacity      26
Vortex-antivortex correlation function      46
Vortices      22 29
Ward identities      58 93 110
Ward identities, conformal      89 91 105 119
Wedge geometry      86 88
Whitney polynomial      37
Widom — Rowlinson model      167
XY model      20 22 24 28 48 49
XY model in a field      26
XY model, Correlation functions      25
Yang — Lee edge singularity      115
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