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

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

Dec, 1990

18 pages

Published in:

Nucl.Phys.B 358 (1991) 231-248

Published: 1991

DOI:

10.1016/0550-3213(91)90539-A

Report number:

SACLAY-SPH-T-90-158,
BI-TP-90-33

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Abstract: (Elsevier)

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.

Potts model
dimension: 2
lattice field theory
critical phenomena
numerical methods: Monte Carlo
numerical calculations: Monte Carlo

References(25)

Figures(0)

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