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|Title:||Sweeny and Gliozzi dynamics for simulations of Potts models in the Fortuin-Kasteleyn representation|
|Authors:||Wang, J.-S. |
|Citation:||Wang, J.-S., Kozan, O., Swendsen, R.H. (2002-11). Sweeny and Gliozzi dynamics for simulations of Potts models in the Fortuin-Kasteleyn representation. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 66 (5) : 057101/1-057101/4. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.66.057101|
|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 representation. 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 [Phys. Rev. E 66, 016115 (2002)], 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 the correlation times; for two-dimensional three-state Potts model, their dynamical critical exponent z is 0.49±0.01; the three-dimensional Ising model has z = 0.37±0.02. ©2002 The American Physical Society.|
|Source Title:||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Appears in Collections:||Staff Publications|
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