Variant Monte Carlo algorithm for driven elastic strings in random media
arXiv:cond-mat/0503133 · doi:10.1016/j.cpc.2005.03.042
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.
arXiv comment6 pages, 2 figures, proceedings of Conference on Computational Physics, CCP2004 (Genova, Italy)
References in corpus (7)
- 2-loop Functional Renormalization Group Theory of the Depinning Transition
- Nonequilibrium Dynamics of Interfaces and Lines
- Roughness at the depinning threshold for a long-range elastic string
- Origin of the roughness exponent in elastic strings at the depinning threshold
- Width distribution of contact lines on a disordered substrate
- Monte Carlo Dynamics of driven Flux Lines in Disordered Media
- Roughness of a Tilted Anharmonic String at Depinning