关于Kagome格上Swendsen-Wang-Kotecky算法的非遍历性
On the non-ergodicity of the Swendsen-Wang-Kotecky algorithm on the kagome lattice
摘要：
本文研究了零温下三态Kagome点阵Potts反铁磁体的Wang-Swendsen-Kotecky团簇Monte Carlo算法的性质。我们证明了该算法是不是遍历对称子集的kagome格与完全周期性的边界条件：给定一个初始配置，并不是所有的配置都可以通过Monte Carlo步骤。同样的结论也适用于单点动力学。
英文摘要：
We study the properties of the Wang-Swendsen-Kotecky cluster Monte Carlo algorithm for simulating the 3-state kagome-lattice Potts antiferromagnet at zero temperature. We prove that this algorithm is not ergodic for symmetric subsets of the kagome lattice with fully periodic boundary conditions: given an initial configuration, not all configurations are accessible via Monte Carlo steps. The same conclusion holds for single-site dynamics.
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。
