Scaling Behavior of Response Functions in the Coarsening Dynamics of Disordered Ferromagnets

TL;DR

This paper investigates the coarsening dynamics and response functions in disordered ferromagnets, revealing violations of super-universality and clarifying the decay behavior in one and two dimensions.

Contribution

It provides a comprehensive analysis of response functions in disordered ferromagnets, resolving previous controversies and demonstrating super-universality violations.

Findings

Response functions violate super-universality in d=1.

Complete understanding of coarsening in d=1 from pre-asymptotic to asymptotic.

Settles controversy on decay exponent in response functions for d=1 and 2.

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.