H. Hinrichsen et M. Antoni, IDENTIFICATION OF DOMAIN-WALLS IN COARSENING SYSTEMS AT FINITE-TEMPERATURE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(3), 1998, pp. 2650-2655
Recently B. Derrida [Phys. Rev. E 55, 3705 (1997)] introduced a numeri
cal technique that allows one to measure the fraction of persistent sp
ins in a coarsening nonequilibrium system at finite temperature. In th
e present work we extend this method in a way that domain walls can be
clearly identified. To this end we consider three replicas instead of
two. As an application we measure the surface area of coarsening doma
ins in the two-dimensional Ising model at finite temperature. We also
discuss the question of to what extent the results depend on the algor
ithmic implementation.