Critical exponents of the driven elastic string in a disordered medium
Statistical Mechanics
2007-05-23 v2 Disordered Systems and Neural Networks
Abstract
We analyze the harmonic elastic string driven through a continuous random potential above the depinning threshold. The velocity exponent beta = 0.33(2) is calculated. We observe a crossover in the roughness exponent zeta from the critical value 1.26 to the asymptotic (large force) value of 0.5. We calculate directly the velocity correlation function and the corresponding correlation length exponent nu = 1.29(5), which obeys the scaling relation nu = 1/(2-zeta), and agrees with the finite-size-scaling exponent of fluctuations in the critical force. The velocity correlation function is non-universal at short distances.
Cite
@article{arxiv.cond-mat/0501467,
title = {Critical exponents of the driven elastic string in a disordered medium},
author = {Olaf Duemmer and Werner Krauth},
journal= {arXiv preprint arXiv:cond-mat/0501467},
year = {2007}
}
Comments
4 pages, 3 figures. corrected references and typos