一种改进的Rosenbluth Monte Carlo方法用于簇计数和格点动物计数
An improved Rosenbluth Monte Carlo scheme for cluster counting and lattice animal enumeration
摘要：
我们描述了一个算法的Rosenbluth Monte Carlo枚举集群和晶格动物。该方法还可以用于计算相关联的属性，例如聚类的矩或周长多重性。新方案是Rosenbluth方法生长聚合物链的延伸，是一个简化的计划，早先报告的作者之一。该算法可用于估计任何格拓扑上的不同格动物的数量。该方法是验证对精确和Monte Carlo枚举集群的大小为50，在一个二维正方形晶格和三维简单立方晶格。该方法可以很容易地适用于产生玻尔兹曼加权平均集群。
英文摘要：
We describe an algorithm for the Rosenbluth Monte Carlo enumeration of clusters and lattice animals. The method may also be used to calculate associated properties such as moments or perimeter multiplicities of the clusters. The new scheme is an extension of the Rosenbluth method for growing polymer chains and is a simplification of a scheme reported earlier by one of the authors. The algorithm may be used to estimate the number of distinct lattice animals on any lattice topology. The method is validated against exact and Monte Carlo enumerations for clusters up to size 50, on a two dimensional square lattice and three dimensional simple cubic lattice. The method may be readily adapted to yield Boltzmann weighted averages over clusters.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
