Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2005-03-06
Physics
Condensed Matter
Disordered Systems and Neural Networks
6 pages, 2 figures, proceedings of Conference on Computational Physics, CCP2004 (Genova, Italy)
Scientific paper
10.1016/j.cpc.2005.03.042
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.
Krauth Werner
Rosso Alberto
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