Glassy dynamics, aging and temperature-induced avalanches in interface pinning at finite temperatures

José J. Ramasco1, Juan M. López2 and Miguel A. Rodríguez2
1Physics Department, Emory University, Atlanta GA 30322, USA.
2Instituto de Física de Cantabria (CSIC-UC), E-39005 Santander, Cantabria, Spain.

(March 2006)

We study numerically the out-of-equilibrium dynamics of interfaces at finite temperatures when driven well below the zero-temperature depinning threshold. We go further than previous analysis by including the most relevant non-equilibrium correction to the elastic Hamiltonian. We find that the relaxation dynamics towards the steady state shows glassy behaviour, aging and violation of the fluctuation-dissipation theorem. The interface roughness exponent alpha approx. 0.7 is found to be robust to temperature changes. We also study the instantaneous velocity signal in the low-temperature regime and find long-range temporal correlations. We argue that 1/f -noise arises from the merging of local temperature-induced avalanches of depinning events.