Depinning exponents of the driven long-range elastic string
Disordered Systems and Neural Networks
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.cond-mat/0612323,
title = {Depinning exponents of the driven long-range elastic string},
author = {Olaf Duemmer and Werner Krauth},
journal= {arXiv preprint arXiv:cond-mat/0612323},
year = {2007}
}
Comments
6 pages, 5 figures