Creep via dynamical functional renormalization group

¹ Laboratoire de Physique des Solides, CNRS URA 02, Université Paris-Sud Bât. 510, 91405 Orsay, France
² CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure 24 rue Lhomond, 75231 Paris, France

Received: 4 May 1998
Accepted: 31 July 1998

Abstract

We study a D-dimensional interface driven in a disordered medium. We derive finite-temperature and velocity functional renormalization group (FRG) equations, valid in a expansion. These equations allow in principle for a complete study of the velocity v vs. applied force density f characteristics. We focus here on the creep regime at finite temperature and small velocity. We show how the FRG approach gives the form of the v-f characteristics in this regime, and in particular the creep exponent, obtained previously only through phenomenological scaling arguments.