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2009

Universal non stationary dynamics at the depinning transition

Kolton, Alejandro B., Schehr, Gregory, Doussal, Pierre Le

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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.

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