Europhys. Lett.
Volume 71, Number 2, July 2005
Page(s) 290 - 296
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 29 June 2005
Europhys. Lett., 71 (2), pp. 290-296 (2005)
DOI: 10.1209/epl/i2005-10074-6

Functional renormalization for pinned elastic systems away from their steady states

G. 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 $z\approx c/T$, 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.

© EDP Sciences 2005