Scaling behavior of response functions in the coarsening dynamics of disordered ferromagnets

Abstract

We study coarsening dynamics in the ferromagnetic random bond Ising model in d=1, 2. We focus on the validity of super-universality and the scaling properties of the response functions. In the d=1 case, we obtain a complete understanding of the evolution, from pre-asymptotic to asymptotic behavior. The corresponding response function shows a clear violation of super-universality. Further, our results for d=1, 2 settle the controversy regarding the decay exponent which characterizes the response function.