Roughness of a Tilted Anharmonic String at Depinning

Details Roughness of a Tilted Anharmonic String at Depinning Roughness of a Tilted Anharmonic String at Depinning

2003-09-09

arxiv.org/abs/cond-mat/0309234v2

Phys. Rev. E 69, 062105 (2004)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.69.062105

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.

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