Out-of-equiibrium relaxation of the Edwards-Wilkinson line

BUSTINGORRY SEBASTIAN; CUGLIANDOLO LETICIA F.; IGUAIN JOSÉ LUIS

JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT

IOP and SISSA

Lugar: Trieste, Italia; Año: 2007 vol. 2007 p. 8 - 42

1742-5468

We study the non-equilibrium relaxation of an elastic line described by the Edwards–Wilkinson equation. Although this model is the simplest representation of interface dynamics, we highlight that many (though not all) important aspects of the non-equilibrium relaxation of elastic manifolds are already present in such quadratic and clean systems. We analyze in detail the ageing behavior of several two-times averaged and fluctuating observables taking into account finite size effects and the crossover to the stationary and equilibrium regimes. We start by investigating the structure factor and extracting from its decay a growing correlation length. We present the full two-times and size dependence of the interface roughness and we generalize the Family–Vicsek scaling form to non-equilibrium situations. We compute the incoherent scattering function and we compare it to the one measured for other glassy systems. We analyze the response functions, the violation of the fluctuation-dissipation theorem in the ageing regime, and its crossover to the equilibrium relation in the stationary regime. Finally, we study the out-of-equilibrium fluctuations of the previously studied two-times functions and we characterize the scaling properties of their probability distribution functions. Our results allow us to obtain new insights into other glassy problems such as the ageing behavior in colloidal glasses and vortex glasses.