Geometric properties of two-dimensional coarsening with weak disorderA. Sicilia1, J. J. Arenzon2, A. J. Bray3 and L. F. Cugliandolo1
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
received 26 November 2007; accepted in final form 4 February 2008; published April 2008
published online 5 March 2008
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.
05.70.Ln - Nonequilibrium and irreversible thermodynamics.
67.30.hj - Spin dynamics.
75.10.Nr - Spin-glass and other random models.
© EPLA 2008