Non-equilibrium relaxation of an elastic string in a random potential

Details Non-equilibrium relaxation of an elastic string in a random potential Non-equilibrium relaxation of an elastic string in a random potential

2005-07-20

arxiv.org/abs/cond-mat/0507490v1

Physical Review Letters 95, 180604 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 3 figs

Scientific paper

10.1103/PhysRevLett.95.180604

We study the non--equilibrium motion of an elastic string in a two dimensional pinning landscape using Langevin dynamics simulations. The relaxation of a line, initially flat, is characterized by a growing length, $L(t)$, separating the equilibrated short length scales from the flat long distance geometry that keep memory of the initial condition. We show that, in the long time limit, $L(t)$ has a non--algebraic growth with a universal distribution function. The distribution function of waiting times is also calculated, and related to the previous distribution. The barrier distribution is narrow enough to justify arguments based on scaling of the typical barrier.

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