An elastic line in a random media: its dynamic fluctuations

SEBASTIAN BUSTINGORRY, JOSÉ LUIS IGUAIN, CLAUDIO CHAMON, LETICIA CUGLIANDOLO, DANIEL DOMÍNGUEZ

Mar del Plata, Argentina

Conferencia; XV Conference on Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL) 2006; 2006

Universidad Nacional de Mar del Plata

We study the probability distribution function of the two-time dependent squared roughness for an elastic line in a random environment.  We propose a scaling form that accounts for the temperature, two-time and size dependence. At high temperature and in the long time stationary regime, the fluctuations coincide with those found analytically for a Edwards-Wilkinson interface evolving from typical initial conditions. We study the changes in the scaling function when the system is cooling down and the aging regime appears. We speculate on the generality of our results and their application to other non-equilibrium systems such as models at criticality.