Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2002-06-24
Phys. Rev. E 66, 057101 (2002)
Physics
Condensed Matter
Statistical Mechanics
RevTeX, 4 pages, 5 figures
Scientific paper
10.1103/PhysRevE.66.057101
We compare the correlation times of the Sweeny and Gliozzi dynamics for two-dimensional Ising and three-state Potts models, and the three-dimensional Ising model for the simulations in the percolation prepresentation. The results are also compared with Swendsen-Wang and Wolff cluster dynamics. It is found that Sweeny and Gliozzi dynamics have essentially the same dynamical critical behavior. Contrary to Gliozzi's claim (cond-mat/0201285), the Gliozzi dynamics has critical slowing down comparable to that of other cluster methods. For the two-dimensional Ising model, both Sweeny and Gliozzi dynamics give good fits to logarithmic size dependences; for two-dimensional three-state Potts model, their dynamical critical exponent z is 0.49(1); the three-dimensional Ising model has z = 0.37(2).
Kozan Oner
Swendsen Robert H.
Wang Jian-Sheng
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