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arXiv · 0906.2494

Universal non stationary dynamics at the depinning transition

Alejandro B. Kolton·Gregory Schehr·Pierre Le Doussal
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Abstract

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 $θ_R$. 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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Alejandro B. Kolton, Gregory Schehr, Pierre Le Doussal. 2009-06-13. Universal non stationary dynamics at the depinning transition. https://doi.org/10.1103/physrevlett.103.160602

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