标题： 三维伊辛模型的Swendsen-Wang算法的动态临界行为 显示英文标题

标题： Dynamic critical behavior of the Swendsen--Wang Algorithm for the three-dimensional Ising model

摘要： 我们对三维伊辛模型在临界点处的Swendsen-Wang算法的动态临界行为进行了高精度的蒙特卡洛研究。 对于与“能量类”可观测量的积分自相关时间相关的动态临界指数，我们发现z_{整数,N} = z_{整数,E} = z_{整数，E'} = 0.459 +- 0.005 +- 0.025，其中第一个误差条表示统计误差（68%置信区间），第二个误差条表示由于尺度修正带来的可能系统误差（68%主观置信区间）。 对于“磁化率类”可观测量，我们发现z_{整数,M^2} = z_{整数,S_2} = 0.443 +- 0.005 +- 0.030。 对于与指数自相关时间相关的动态临界指数，我们发现z_{指数} \approx 0.481。 我们的数据与Coddington-Baillie猜想z_{SW} = \beta /\nu \approx 0.5183一致，特别是如果将其解释为指z_{指数}。 显示英文摘要

摘要： 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 z_{int,N} = z_{int,E} = z_{int,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 z_{int,M^2} = z_{int,S_2} = 0.443 +- 0.005 +- 0.030. For the dynamic critical exponent associated to the exponential autocorrelation time, we find z_{exp} \approx 0.481. Our data are consistent with the Coddington-Baillie conjecture z_{SW} = \beta/\nu \approx 0.5183, especially if it is interpreted as referring to z_{exp}.