Universal Nonstationary Dynamics at the Depinning Transition

Alejandro B. Kolton, Grégory Schehr, and Pierre Le Doussal
Phys. Rev. Lett. 103, 160602 – Published 16 October 2009

Abstract

We study the nonstationary dynamics of an elastic interface in a disordered medium at the depinning transition. We compute the two-time response and correlation functions, found to be universal and characterized by two independent critical exponents. We find a good agreement between two-loop functional renormalization group calculations and molecular dynamics simulations for the scaling forms, and for the response aging exponent θR. We also describe a dynamical dimensional crossover, observed at long times in the relaxation of a finite system. Our results are relevant for the nonsteady driven dynamics of domain walls in ferromagnetic films and contact lines in wetting.

  • Figure
  • Figure
  • Figure
  • Received 22 June 2009

DOI:https://doi.org/10.1103/PhysRevLett.103.160602

©2009 American Physical Society

Authors & Affiliations

Alejandro B. Kolton1, Grégory Schehr2, and Pierre Le Doussal3

  • 1CONICET, Centro Atómico Bariloche, 8400 S. C. de Bariloche, Argentina
  • 2Laboratoire de Physique Théorique (UMR du CNRS 8627), Université de Paris-Sud, 91405 Orsay Cedex, France
  • 3CNRS-Laboratoire de Physique Théorique de l’Ecole Normale Supérieure, 24 Rue Lhomond 75231 Paris, France

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 103, Iss. 16 — 16 October 2009

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×