Dynamical behavior of the multibondic and multicanonic algorithm in the 3D q-state Potts model

作     者：Carroll, MS Janke, W Kappler, S 

作者机构：Johannes Gutenberg Univ Mainz Inst Phys D-55099 Mainz Germany 

出 版 物：《JOURNAL OF STATISTICAL PHYSICS》 (统计物理学杂志)

年 卷 期：1998年第90卷第5-6期

页      面：1277-1293页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

主　　题：first-order phase transitions Potts model cluster representation Monte Carlo simulations multicanonical algorithm multibondic algorithm autocorrelations 

摘      要：We investigate the dynamical behavior of the recently proposed multibondic cluster Monte Carlo algorithm in applications to the three-dimensional q-state Potts models with q = 3, 4, and 5 in the vicinity of their first-order phase transition points. For comparison we also report simulations with the standard multicanonical algorithm. Similar to the findings in two dimensions, we how that for the multibondic cluster algorithm the dependence of the autocorrelation time tau on the system size Vis well described by the power law tau proportional to V-alpha, and that the dynamical exponent a is consistent with the optimal random walk estimate alpha = 1. For the multicanonical simulations we obtain, as expected, a larger value of alpha approximate to 1.2.