Binder K., Heermann D.W. — Monte Carlo Simulation in Statistical Physics :: Электронная библиотека попечительского совета мехмата МГУ

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Binder K., Heermann D.W. — Monte Carlo Simulation in Statistical Physics

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Название: Monte Carlo Simulation in Statistical Physics

Автор: Binder K. , Heermann D.W.

Аннотация:

Monte Carlo Simulation in Statistical Physics deals with the computer simulation of many-body systems in condensed-matter physics and related fields of physics, chemistry and beyond, to traffic flows, stock market fluctuations, etc.). Using random numbers generated by a computer, probability distributions are calculated, allowing the estimation of the thermodynamic properties of various systems. This book describes the theoretical background to several variants of these Monte Carlo methods and gives a systematic presentation from which newcomers can learn to perform such simulations and to analyze their results. This fourth edition has been updated and a new chapter on Monte Carlo simulation of quantum-mechanical problems has been added.Prof. Binder was the winner of the Berni J. Alder CECAM Award for Computational Physics 2001.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 4th, enlarged edition

Год издания: 2002

Количество страниц: 180

Добавлена в каталог: 28.04.2010

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

Предметный указатель

$Cu_{2}O$       155
$N_{2}$       141
$SiO_{2}$       140 147
$\beta$ -cristobalite      140
$\beta$ -quartz      140
$\Phi^{4}$ model      22 48 51
$^{3}He$       148
$^{4}He$       148 149
Alloy      32
Anderson localization      139
Anharmonicity      140
ANNNI model      26 53
Anticommutation relation      153
Antiferromagnet      26 52 119
Argon      139
Attrition problem      10 96
Average      see also "Self-average"
Average time      31
Average, ensemble      31
Average, non-equilibrium      31
Average, thermal      13
Boltzmann distribution      99
Bose condensation      138
Bose system      148 149
Bosonic field      156
boundary conditions      23 26 145 149
Boundary conditions, free      26 38 93
Boundary conditions, helical      110
Boundary conditions, periodic      26 38 43 93 103 110 150—152
Boundary conditions, skew      26 27
Boundary fields      26 27 see
Broken symmetry      42
C      141
Carbon      141
Checker-board algorithm      24 111
Cluster      36 89 117 160
Cluster algorithm      115 117—122 158
Cluster size distribution      37
Cluster spanning      39 90
Cluster, infinite      36
Collapse transition      11
Commutation relation      141 143
Commutator      138 144
Computer, parallel      55
Computer, special purpose      47
Computer, vector      24 55
Conservation law      20 111
Correlation, function time displaced      30
Correlation, length      26 39 57 132
Correlation, time      24 125
Coulomb interaction      154
Critical amplitude      49
Critical slowing down      35 115
Cross-links      149
Crossover      131
Crystal structure      141
Cumulant, fourth-order      46 52 107 127
Cumulant, intersection method      47
Dangling end      91
Data collapsing      49
Debye law      139
Debye temperature      139
defects      68
Degeneracy temperature      149
Delocalization      140 147
Delta function singularity      58
Density matrix      148
Detailed balance      17 29 118
Diffusion      9 29 32 94
Diffusion, rotational      43
Diffusion-limited aggregation      29 81
domains      55
Dulong — Petit law      139
Dynamic interpretation      29 33
Effective boundary field      26 27
Einstein law      81
Elastic constant      139 141
Electrons      138 154 155
Ensemble of initial states      32
Ensemble, Canonical      6 16 20 123
Ensemble, grand-canonical      20
Ensemble, micro-canonical      32
Ensemble, semi-grand canonical      123
Entanglement      22
Equipaxtition theorem      147
Ergodic      29
Ergodic time      42 49 55
Error      33
Error, relative      66
Exchange      138
Excluded volume interaction      10 13
Exponents      12 40 47 51 55 130
Fermion      153 154 156 158
Finite size effects      20 30 35 90
Finite size, scaling      39 50 106 109 120 127 154
Finite size, scaling corrections      52 53
Fluid-solid transition      139
Fractal dimensionality      38
Free energy      140
Gibbs ensemble      131
Glauber      20 24 99 110 see
graphite      141
Growth phenomena      29
H      141
Harmonic approximation      139
Harmonic chain      145
Heisenberg chain      151
Heisenberg model      5 20 142
Heisenberg uncertainty principle      140 147
Helium      139
High-temperature series extrapolations      52
High-temperature superconducting materials      155
Histogram extrapolation      116 124—127
Hopping process      153
Hubbard Hamiltonian      158
Hubbard model      154 155 157
Hyperscaling      57 123
Identity permutation      149
Imaginary time      150
Improved actions      149
Improved estimators      116 120
Infinite potentials      29
INTERFACE      111
Interfacial tension      45
Ising model      5 16 20 23 46 98 117 150 151
Isotope effects      148
Isotropic spin system      43
Itinerant magnetism      155
Jordan — Wigner transformation      154
Kawasaki      20 111 see
kinetic energy      138 157
Latent heat      62
Lattice animals      94
Lattice gas      20
Lattice parameter      139 141 148
Lennard — Jones      112 127
Macromolecules      8
magnetization      66 143
Magnetization, spontaneous      25 42 120
Marginal dimension      57
Markov chain      18 98
Markov process      19

Master equation      29
Matrix element      150
mean field      57
Metal-insulator transition      155
Metropolis function      99
Minus-sign problem      157 158
Molecular Dynamics      33
Moment of inertia      141
Momentum operator      137 141
Monolayers      141
Monte Carlo      146
Monte Carlo, Green's function (GFMC)      158
Monte Carlo, multigrid      116
Monte Carlo, path integral      142 143 158
Monte Carlo, Projector Quantum (PQMC)      158
Monte Carlo, Quantum      143
Monte Carlo, renormalization group      47 52
Monte Carlo, step (MCS)      19 24 29 55 100
Monte Carlo, variational (VMC)      158
Neighbor list      82
Neon      139 148
Noble gases      139
Nucleation      29
Numerical integration      7
Observation time      42
Order parameter      35 42 48 49
Order parameter, orientational      142
Order parameter, root mean square      43
Oxygen      140
Particle number operator      153
Partition function      9 137 143—145 149—152 156 157
Pauli matrices      153
Pauli principle      153
Pauli spin matrices      150
Percolation      15 35 49 87 117 118 160
Percolation, bond      36 41 94
Percolation, continuum      95
Percolation, kinetic      95
Percolation, probability      37
Percolation, site      88
Percolation, site-bond      94
Percolation, threshold      88
Permutation operator      148
Phase space      7 16 20 29
Phase transition      16 26 35 42 122—135 141
Phase transition, structural      141
Phonon      139 140
PIMC      143 148 158
Planck's constant      146
Polyethylene      141 142
Polymer      141
Polymer mixture      123
Position operator      137 138
Potts model      62 112 117 118
Preferential surface site selection      26
Primitive action      149
probability distribution      43 125
Quantum crystals      148
Quantum fluids      148
Quantum particle      143
Quantum statistical mechanics      137—139 146 147
Random number      18 23 36
Random number, correlation      80 122
Random number, generator      7 28 76 80
Random number, pseudo      7 47
Random walk      11 15
Random walk, nonreversal      8 82
Random walk, self-avoiding      8 83 95 112
Recursion algorithm      90
Relaxation function      35
Relaxation nonlinear function      35
Relaxation time      25 125
Relaxation time displaced      33
Relaxation time intrinsic      49 54
Renormalization      51
Renormalized coupling constant      46
Reptation      21 22 87
Reweighting      116 122—128
Ring polymer      145—149
Rotational diffusion      43
rotors      158
Roughening transition      57
Rouse      22
Sampling, biased      72 95
Sampling, importance      5 17 29 36 72 98
Sampling, simple      5 7 11 13 34 72 74
Scaling function      39 50 106 129 130
Scaling laws      39
Schroedinger equation      137 158
Self-average      65 110
Self-average, lack of      15 65
Self-average, strong      15 65
Self-average, weak      67
Self-avoiding random walk      see also "Random walk"
Self-avoiding random walk, growing      98
Self-avoiding random walk, k-tuple      97
Semi-infinite system      27
Silicon      140
Slithering snake      see also "Reptation"
Specific heat      55 63 119 123 130 139 143
Spin glass      29 42 47 57 115
Spin operators      143 150
Spin wave theory      143
Spin-flip, exchange      20 25
Spin-flip, single      20 23 100 110 122
Spinodal decomposition      29
Statistical error      33 54 124
Statistical inefficiency      35
Statistical weight      6 9 30
Structure factor      154 155
subsystems      45 120 122
Superfluidity      138 149
Suprafluid      139
susceptibility      37 45 66 119
Sweep      100
Symmetry breaking      49 120
Symmetry breaking field      49
Table method      25
Thermal de Broglie wavelength      140 146 147 149
Thermal expansion coefficient      139
Thermal length      57
Thermodynamic length      133
Thermodynamic limit      42 45
Thin-film      27
Transfer matrix      52
Transition point      107
Transition probability      17 18 22 23 99
Transverse field      150 151
TREE      90
Trotter dimension      151
Trotter formula      150—152 156
Trotter index      146 151
Trotter number      140 147 148 150
Trotter — Suzuki formula      143 150 156
tunnelling      141
Vibrations      142
Walks, biased      81
Walks, random      8 9 74
Walks, self-avoiding      10 29 123
Wave functions      140 148 158
Xenon      139
XY-model      5 7 21 47 52 112
zero-point motion      140

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