Fluctuating loops and glassy dynamics of a pinned line in two dimensions
Condensed Matter
2009-10-28 v1
Abstract
We represent the slow, glassy equilibrium dynamics of a line in a two-dimensional random potential landscape as driven by an array of asymptotically independent two-state systems, or loops, fluctuating on all length scales. The assumption of independence enables a fairly complete analytic description. We obtain good agreement with Monte Carlo simulations when the free energy barriers separating the two sides of a loop of size L are drawn from a distribution whose width and mean scale as L^(1/3), in agreement with recent results for scaling of such barriers.
Keywords
Cite
@article{arxiv.cond-mat/9512039,
title = {Fluctuating loops and glassy dynamics of a pinned line in two dimensions},
author = {Anders B. Eriksson and Jari M. Kinaret and Lev V. Mikheev},
journal= {arXiv preprint arXiv:cond-mat/9512039},
year = {2009}
}
Comments
11 pages, 4 Postscript figures