Probability-Changing Cluster Algorithm for Potts Models

Details Probability-Changing Cluster Algorithm for Potts Models Probability-Changing Cluster Algorithm for Potts Models

2000-11-16

arxiv.org/abs/cond-mat/0011276v1

Phys. Rev. Lett. 86, 572 (2001)

Physics

Condensed Matter

Statistical Mechanics

4 pages including 5 eps figures, RevTeX, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.86.572

We propose a new effective cluster algorithm of tuning the critical point automatically, which is an extended version of Swendsen-Wang algorithm. We change the probability of connecting spins of the same type, $p = 1 - e^{- J/ k_BT}$, in the process of the Monte Carlo spin update. Since we approach the canonical ensemble asymptotically, we can use the finite-size scaling analysis for physical quantities near the critical point. Simulating the two-dimensional Potts models to demonstrate the validity of the algorithm, we have obtained the critical temperatures and critical exponents which are consistent with the exact values; the comparison has been made with the invaded cluster algorithm.

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