Universal non stationary dynamics at the depinning transition

Details Universal non stationary dynamics at the depinning transition Universal non stationary dynamics at the depinning transition

2009-06-13

arxiv.org/abs/0906.2494v1

Phys. Rev. Lett. 103, 160602 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.103.160602

We study the non-stationary 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 $\theta_R$. We also describe a dynamical dimensional crossover, observed at long times in the relaxation of a finite system. Our results are relevant for the non-steady driven dynamics of domain walls in ferromagnetic films and contact lines in wetting.

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