Abstract
We have performed a high-precision Monte Carlo study of the dynamic critical behavior of the Swendsen-Wang algorithm for the three-dimensional Ising model at the critical point. For the dynamic critical exponents associated to the integrated autocorrelation times of the "energy-like" observables, we find zint,N=zint,E= zint,E′=0.459±0.005±0.025, where the first error bar represents statistical error (68% confidence interval) and the second error bar represents possible systematic error due to corrections to scaling (68% subjective confidence interval). For the "susceptibility-like" observables, we find zint,M2=zint, S2=0.443±0.005±0.030. For the dynamic critical exponent associated to the exponential autocorrelation time, we find zexp≈0.481. Our data are consistent with the Coddington-Baillie conjecture zSW=β/ν≈0.5183, especially if it is interpreted as referring to zexp.
Original language | English (US) |
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Pages (from-to) | 259-291 |
Number of pages | 33 |
Journal | Nuclear Physics B |
Volume | 691 |
Issue number | 3 |
DOIs | |
State | Published - Jul 26 2004 |
Keywords
- Autocorrelation time
- Cluster algorithm
- Dynamic critical exponent
- Ising model
- Monte Carlo
- Potts model
- Swendsen-Wang algorithm
ASJC Scopus subject areas
- Nuclear and High Energy Physics