@article {79, title = {Scaling of the Euler characteristic, surface area, and curvatures in the phase separating or ordering systems}, journal = {Phys Rev Lett}, volume = {86}, year = {2001}, month = {2001 Jan 8}, pages = {240-3}, abstract = {

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.

}, issn = {0031-9007}, author = {Marcin Fialkowski and Aleksei Aksimentiev and Robert Ho{\l}yst} }