Functional renormalization for pinned elastic systems away from their steady statesG. Schehr1 and P. Le Doussal2
1 Theoretische Physik, Universität des Saarlandes - 66041 Saarbrücken, Germany
2 LPTENS CNRS UMR 8549 - 24 rue Lhomond, 75231 Paris Cedex 05, France
received 24 February 2005; accepted 13 May 2005
published online 29 June 2005
Using one-loop functional RG we study two problems of pinned elastic systems away from their equilibrium or steady states. The critical regime of the depinning transition is investigated starting from a flat initial condition. It exhibits non-trivial two-time dynamical regimes with exponents and scaling functions obtained in a dimensional expansion. The aging and equilibrium dynamics of the super-rough glass phase of the random Sine-Gordon model at low temperature is found to be characterized by a single dynamical exponent , where c compares well with recent numerical work. This agrees with the thermal boundary layer picture of pinned systems.
75.40.Gb - Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.).
05.20.-y - Classical statistical mechanics.
75.10.Nr - Spin-glass and other random models.
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