Dynamics near a first-order phase transition with the Metropolis and Swendsen-Wang algorithms

Billoire, A. ; Lacaze, R. ; Morel, A. ; Gupta, Sourendu ; Irbäck, A. ; Petersson, B. (1991) Dynamics near a first-order phase transition with the Metropolis and Swendsen-Wang algorithms Nuclear Physics B, 358 (1). pp. 231-248. ISSN 0550-3213

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0550-3213(91)90539-A

Abstract

We have simulated the 10-state 2d Potts model with the Metropolis and Swendsen-Wang algorithms, in order to compare their performances near a first-order phase transition. We show that a simple Markov model relates the frequencies of the flips between coexisting phases and the auto-correlation times. It leads to a coherent description of the dynamics. The ratio of the algorithm efficiencies has little temperature dependence. A slight increase of the cluster algorithm efficiency with volume, as compared to the Metropolis method, is suggested.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
ID Code:66105
Deposited On:21 Oct 2011 03:20
Last Modified:21 Oct 2011 03:20

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