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arXiv · 1307.7761

Improving the efficiency of Monte Carlo simulations of systems that undergo temperature-driven phase transitions

L. Velazquez·J. C. Castro-Palacio
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Abstract

Recently, Velazquez and Curilef have proposed a methodology to extend Monte Carlo algorithms based on canonical ensemble, which is aimed to overcome slow sampling problems associated with temperature-driven discontinuous phase transitions. We show in this work that Monte Carlo algorithms extended with this methodology also exhibit a remarkable efficiency near a critical point. Our study is performed for the particular case of 2D four-state Potts model on the square lattice with periodic boundary conditions. This analysis reveals that the extended version of Metropolis importance sample is more efficient than the usual Swendsen-Wang and Wolff cluster algorithms. These results demonstrate the effectiveness of this methodology to improve the efficiency of MC simulations of systems that undergo any type of temperature-driven phase transition.

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L. Velazquez, J. C. Castro-Palacio. 2013-07-29. Improving the efficiency of Monte Carlo simulations of systems that undergo temperature-driven phase transitions. https://doi.org/10.1103/physreve.88.013311

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