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 firs...
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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.
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