How to measure Functional RG fixed-point functions for dynamics and at depinning

Pierre Le Doussal, Kay Jörg Wiese
CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75005 Paris, France, and
KITP, University of California at Santa Barbara, Santa Barbara, CA 93106-4030, USA.

Abstract

We show how the renormalized force correlator Δ(u), the function computed in the functional RG (FRG) field theory, can be measured directly in numerics and experiments on the dynamics of elastic manifolds in presence of pinning disorder. For equilibrium dynamics we recover the relation obtained recently in the statics between Δ(u) and a physical observable. Its extension to depinning reveals interesting relations to stick-slip models of avalanches used in dry friction and earthquake dynamics. The particle limit (d=0) is solved for illustration: Δ(u) exhibits a cusp and differs from the statics. We propose that the FRG functions be measured in wetting and magnetic interfaces experiments.


cond-mat/0610525 [pdf]
EPL 77 (2007) 66001 [pdf]


Copyright (C) by Kay Wiese. Last edited March 17, 2008.