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DY: Dynamik und Statistische Physik

DY 40: Statistical Physics (General) I

DY 40.6: Talk

Tuesday, March 8, 2005, 11:30–11:45, TU H3010

Universal energy distribution for interfaces in a random field environment — •Semjon Stepanow and Andrei Fedorenko — Martin-Luther-Universität Halle, Fachbereich Physik, D-06099

We study the energy distribution function ρ (E) for interfaces in a random field environment at zero temperature by summing the leading terms in the perturbation expansion of ρ (E) in powers of the disorder strength, and by taking into account the non perturbational effects of the disorder using the functional renormalization group. We have found that the average and the variance of the energy for one-dimensional interface of length L behave as, < E> ∼ L lnL, Δ E ∼ L, while the distribution function of the energy tends for large L to the Gumbel distribution of the extreme value statistics. We have also computed the energy distribution in the presence of a constant driving force.