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Comments on Sweeny and Gliozzi dynamics for simulations of Potts models in the Fortuin-Kasteleyn representation | | Jian-Sheng Wang
; Oner Kozan
; Robert H. Swendsen
; | | Date: |
24 Jun 2002 | | Journal: | Phys. Rev. E 66, 057101 (2002) | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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). | | Source: | arXiv, cond-mat/0206437 | | Services: | Forum | Review | PDF | Favorites | |
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