English

Event-chain Monte Carlo algorithms for hard-sphere systems

Statistical Mechanics 2010-02-08 v2

Abstract

In this paper we present the event-chain algorithms, which are fast Markov-chain Monte Carlo methods for hard spheres and related systems. In a single move of these rejection-free methods, an arbitrarily long chain of particles is displaced, and long-range coherent motion can be induced. Numerical simulations show that event-chain algorithms clearly outperform the conventional Metropolis method. Irreversible versions of the algorithms, which violate detailed balance, improve the speed of the method even further. We also compare our method with a recent implementations of the molecular-dynamics algorithm.

Keywords

Cite

@article{arxiv.0903.2954,
  title  = {Event-chain Monte Carlo algorithms for hard-sphere systems},
  author = {Etienne P. Bernard and Werner Krauth and David B. Wilson},
  journal= {arXiv preprint arXiv:0903.2954},
  year   = {2010}
}

Comments

5 pages, 6 figures

R2 v1 2026-06-21T12:41:31.109Z