Abstract
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 show that for the multibondic cluster algorithm the dependence of the autocorrelation time τ on the system size Vis well described by the power law τ ∝ V ∝, and that the dynamical exponent ∝ is consistent with the optimal random walk estimate ∝ = 1. For the multicanonical simulations we obtain, as expected, a larger value of ∝ ≍ 1.2.
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Carroll, M.S., Janke, W. & Kappler, S. Dynamical Behavior of the Multibondic and Multicanonic Algorithm In The 3D q-State Potts Model. Journal of Statistical Physics 90, 1277–1293 (1998). https://doi.org/10.1023/A:1023283412473
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DOI: https://doi.org/10.1023/A:1023283412473