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

Alejandro Kolton (1) , Alberto Rosso (2) , Thierry Giamarchi (1)

1 UNIGE - Université de Genève = University of Geneva
2 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

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.

Domaines: Mécanique statistique [cond-mat.stat-mech]

Alejandro Kolton, Alberto Rosso, Thierry Giamarchi. Non-equilibrium relaxation of an elastic string in a random potential. Physical Review Letters, 2005, 95, pp.180604. ⟨hal-00013241⟩