Functional renormalization for pinned elastic systems away from their steady states

¹ Theoretische Physik, Universität des Saarlandes - 66041 Saarbrücken, Germany
² LPTENS CNRS UMR 8549 - 24 rue Lhomond, 75231 Paris Cedex 05, France

Received: 24 February 2005
Accepted: 13 May 2005

Abstract

Using one-loop functional RG we study two problems of pinned elastic systems away from their equilibrium or steady states. The critical regime of the depinning transition is investigated starting from a flat initial condition. It exhibits non-trivial two-time dynamical regimes with exponents and scaling functions obtained in a dimensional expansion. The aging and equilibrium dynamics of the super-rough glass phase of the random Sine-Gordon model at low temperature is found to be characterized by a single dynamical exponent , where c compares well with recent numerical work. This agrees with the thermal boundary layer picture of pinned systems.