Empirical relations between static and dynamic exponents for Ising model cluster algorithms
Journal Article
·
· Physical Review Letters; (United States)
- Department of Physics, Syracuse University, Syracuse, New York 13244 (United States)
- Department of Physics, University of Colorado, Boulder, Colorado 80309 (United States)
We have measured the autocorrelations for the Swendsen-Wang and the Wolff cluster update algorithms for the Ising model in two, three, and four dimensions. The data for the Wolff algorithm suggest that the autocorrelations are linearly related to the specific heat, in which case the dynamic critical exponent is {ital z}{sub int,}{ital E}{sup W}={alpha}/{nu}. For the Swendsen-Wang algorithm, scaling the autocorrelations by the average maximum cluster size gives either a constant or a logarithm, which implies that {ital z}{sub int,}{ital E}{sup SW}={beta}/{nu} for the Ising model.
- DOE Contract Number:
- FG03-85ER25009; AC03-81ER40050; AC02-86ER40253
- OSTI ID:
- 7205807
- Journal Information:
- Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 68:7; ISSN PRLTA; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
CRYSTAL MODELS
FUNCTIONS
ISING MODEL
MAGNETISM
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SCALING LAWS
SIMULATION
SPECIFIC HEAT
THERMODYNAMIC PROPERTIES
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ALGORITHMS
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
CRYSTAL MODELS
FUNCTIONS
ISING MODEL
MAGNETISM
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MONTE CARLO METHOD
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SCALING LAWS
SIMULATION
SPECIFIC HEAT
THERMODYNAMIC PROPERTIES