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Roughness of a Tilted Anharmonic String at Depinning

arXiv:cond-mat/0309234 · doi:10.1103/PhysRevE.69.062105

Abstract

We consider the discretized model of a driven string with an anharmonic elastic energy, in a two dimensional random potential, as introduced by Rosso and Krauth. Using finite size scaling, we numerically compute the roughness of the string in a uniform applied force at the critical depinning threshold. By considering a string with a net average tilt, we demonstrate that the anharmonic elastic energy crosses the model over to the quenched KPZ universality class, in agreement with recent theoretical predictions.

2 page, 3 ps figure. Earlier version of comment replaced with expanded version accepted for publication as Brief Report in PRE