%0 Journal Article %J Phys Rev Lett %D 2001 %T Scaling of the Euler characteristic, surface area, and curvatures in the phase separating or ordering systems %A Marcin Fialkowski %A Aleksei Aksimentiev %A Robert HoƂyst %X

We present robust scaling laws for the Euler characteristic and curvatures applicable to any symmetric system undergoing phase separating or ordering kinetics. We apply it to the phase ordering in a system of the nonconserved scalar order parameter and find three scaling regimes. The appearance of the preferred nonzero curvature of an interface separating +/- domains marks the crossover to the late stage regime characterized by the Lifshitz-Cahn-Allen scaling.

%B Phys Rev Lett %V 86 %P 240-3 %8 2001 Jan 8 %G eng %N 2