Depinning exponents of the driven long-range elastic string

Details Depinning exponents of the driven long-range elastic string Depinning exponents of the driven long-range elastic string

2006-12-13

arxiv.org/abs/cond-mat/0612323v2

J. Stat. Mech. (2007) P01019

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 5 figures

Scientific paper

10.1088/1742-5468/2007/01/P01019

We perform a high-precision calculation of the critical exponents for the long-range elastic string driven through quenched disorder at the depinning transition, at zero temperature. Large-scale simulations are used to avoid finite-size effects and to enable high precision. The roughness, growth, and velocity exponents are calculated independently, and the dynamic and correlation length exponents are derived. The critical exponents satisfy known scaling relations and agree well with analytical predictions.

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