Improving the efficiency of Monte Carlo simulations of systems that undergo temperature-driven phase transitions
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.
Keywords
Cite
@article{arxiv.1307.7761,
title = {Improving the efficiency of Monte Carlo simulations of systems that undergo temperature-driven phase transitions},
author = {L. Velazquez and J. C. Castro-Palacio},
journal= {arXiv preprint arXiv:1307.7761},
year = {2013}
}
Comments
Version accepted for publicacion in Physical Review E