Multibondic cluster algorithm for Monte Carlo simulations of first-order phase transitions.
Multibondic cluster algorithm for Monte Carlo simulations of first-order phase transitions.
复制标题
用于一阶相变蒙特卡罗模拟的多重键簇算法。
DOI：
10.1103/physrevlett.74.212
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发表时间：
1994
影响因子：
8.6
通讯作者：
S. Kappler
中科院分区：
文献类型：
--
作者：
Wolfhard Janke;S. Kappler
受模拟一阶相变的多正则方法的启发，我们提出了$q$状态的Potts模型，该模型结合了原子簇更新和该模型的Fortuin-Kastelein-Swendsen-Wang表示中的键组态的重新加权。对具有$q=7、10、m和20$的二维模型的数值测试表明，该算法的自相关时间随系统规模$V$为$\ensuremath{\tau}\ensuremath{\propto}{V}^{\ensuremath{\alpha}}$，而增长，其中指数取最优随机游动值$ensuremathAlpha1$.
Inspired by the multicanonical approach to simulations of first-order phase transitions we propose for $q$-state Potts models a combination of cluster updates with reweighting of the bond configurations in the Fortuin-Kastelein-Swendsen-Wang representation of this model. Numerical tests for the two-dimensional models with $q=7, 10, \mathrm{and} 20$ show that the autocorrelation times of this algorithm grow with the system size $V$ as $\ensuremath{\tau}\ensuremath{\propto}{V}^{\ensuremath{\alpha}}$, where the exponent takes the optimal random walk value of $\ensuremath{\alpha}\ensuremath{\approx}1$.