Geometric properties of two-dimensional coarsening with weak disorder

¹  Université Pierre et Marie Curie - Paris VI, LPTHE UMR 7589 - 4 Place Jussieu, 75252 Paris Cedex 05, France, EU
²  Instituto de Física, Universidade Federal do Rio Grande do Sul - CP 15051, 91501-970 Porto Alegre RS, Brazil
³  School of Physics and Astronomy, University of Manchester - Manchester M13 9PL, UK, EU

Corresponding author: sicilia@lpthe.jussieu.fr

Received: 26 November 2007
Accepted: 4 February 2008

Abstract

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 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.