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Article overview
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Probability-Changing Cluster Algorithm for Potts Models | Yusuke Tomita
; Yutaka Okabe
; | Date: |
16 Nov 2000 | Journal: | Phys. Rev. Lett. 86, 572 (2001) | Subject: | Statistical Mechanics | cond-mat.stat-mech | Abstract: | 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. | Source: | arXiv, cond-mat/0011276 | Other source: | [GID 488832] pmid11177884 | Services: | Forum | Review | PDF | Favorites |
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