Wang Jian-Sheng, Kozan Oner, Swendsen Robert H
Singapore-MIT Alliance and Department of Computational Science, National University of Singapore, Singapore 119260, Republic of Singapore.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Nov;66(5 Pt 2):057101. doi: 10.1103/PhysRevE.66.057101. Epub 2002 Nov 6.
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.
我们比较了二维伊辛模型、三态Potts模型以及渗流表示中模拟的三维伊辛模型的斯威尼（Sweeny）动力学和格廖齐（Gliozzi）动力学的关联时间。结果还与斯文森 - 王（Swendsen-Wang）和沃尔夫（Wolff）团簇动力学进行了比较。发现斯威尼动力学和格廖齐动力学具有基本相同的动力学临界行为。与格廖齐的说法[《物理评论E》66, 016115 (2002)]相反，格廖齐动力学具有与其他团簇方法相当的临界慢化现象。对于二维伊辛模型，斯威尼动力学和格廖齐动力学都能很好地拟合关联时间的对数尺寸依赖性；对于二维三态Potts模型，它们的动力学临界指数z为0.49±0.01；三维伊辛模型的z = 0.37±0.02。
