Topics in computer simulations of statistical systems
Thesis/Dissertation
·
OSTI ID:5584353
Several computer simulations studying a variety of topics in statistical mechanics and lattice gauge theories are performed. The first study describes a Monte Carlo simulation performed on Ising systems defined on Sierpinsky carpets of dimensions between one and four. The critical coupling and the exponent ..gamma.. are measured as a function of dimension. The Ising gauge theory in d = 4 - epsilon, for epsilon ..-->.. 0/sup +/, is then studied by performing a Monte Carlo simulation for the theory defined on fractals. A high statistics Monte Carlo simulation for the three-dimensional Ising model is presented for lattices of sizes 8/sup 3/ to 44/sup 3/. All the data obtained agrees completely, within statistical errors, with the forms predicted by finite-sizing scaling. Finally, a method to estimate numerically the partition function of statistical systems is developed.
- Research Organization:
- Florida State Univ., Tallahassee (USA)
- OSTI ID:
- 5584353
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
COMPUTERIZED SIMULATION
COUPLING CONSTANTS
CRYSTAL MODELS
FIELD THEORIES
FRACTALS
FUNCTIONS
ISING MODEL
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MECHANICS
MONTE CARLO METHOD
NUMERICAL SOLUTION
PARTICLE MODELS
PARTITION FUNCTIONS
QUANTUM FIELD THEORY
SIMULATION
STATISTICAL MECHANICS
UNIFIED GAUGE MODELS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
COMPUTERIZED SIMULATION
COUPLING CONSTANTS
CRYSTAL MODELS
FIELD THEORIES
FRACTALS
FUNCTIONS
ISING MODEL
LATTICE FIELD THEORY
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MECHANICS
MONTE CARLO METHOD
NUMERICAL SOLUTION
PARTICLE MODELS
PARTITION FUNCTIONS
QUANTUM FIELD THEORY
SIMULATION
STATISTICAL MECHANICS
UNIFIED GAUGE MODELS