Geometric properties of two-dimensional coarsening with weak disorder

Alberto Sicilia, Jeferson J. Arenzon, Alan J. Bray, Leticia F. Cugliandolo

Published 2007-11-26Version 1

The domain morphology of weakly disordered ferromagnets, quenched from the high-temperature phase to the low-temperature phase, is studied using numerical simulations. We find that the geometrical properties of the coarsening domain structure, e.g., the distributions of hull enclosed areas and domain perimeter lengths, are described by a scaling phenomenology in which the growing domain scale R(t) is the only relevant parameter. Furthermore, the scaling functions have forms identical to those of the corresponding pure system, extending the 'super-universality' property previously noted for the pair correlation function.