Depinning exponents of the driven longrange elastic string
Abstract
We perform a highprecision calculation of the critical exponents for the longrange elastic string driven through quenched disorder at the depinning transition, at zero temperature. Largescale simulations avoid finitesize effects and improve accuracy. We explicitly demonstrate the equivalence of fixedvelocity and fixeddrivingforce simulations. 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.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 January 2007
 DOI:
 10.1088/17425468/2007/01/P01019
 arXiv:
 arXiv:condmat/0612323
 Bibcode:
 2007JSMTE..01...19D
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks
 EPrint:
 6 pages, 5 figures