Variant Monte Carlo algorithm for driven elastic strings in random media
Disordered Systems and Neural Networks
2009-11-11 v1 Statistical Mechanics
Abstract
We discuss the non-local Variant Monte Carlo algorithm which has been successfully employed in the study of driven elastic strings in disordered media at the depinning threshold. Here we prove two theorems, which establish that the algorithm satisfies the crucial no-passing rule and that, after some initial time, the string exclusively moves forward. The Variant Monte Carlo algorithm overcomes the shortcomings of local methods, as we show by analyzing the depinning threshold of a single-pin problem.
Cite
@article{arxiv.cond-mat/0503133,
title = {Variant Monte Carlo algorithm for driven elastic strings in random media},
author = {Alberto Rosso and Werner Krauth},
journal= {arXiv preprint arXiv:cond-mat/0503133},
year = {2009}
}
Comments
6 pages, 2 figures, proceedings of Conference on Computational Physics, CCP2004 (Genova, Italy)