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

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

2006-10-18

arxiv.org/abs/cond-mat/0610525v1

EPL 77 (2007) 66001

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 3 figures

Scientific paper

We show how the renormalized force correlator Delta(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 Delta(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: Delta(u) exhibits a cusp and differs from the statics. We propose that the FRG functions be measured in wetting and magnetic interfaces experiments.

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