00-149 Giovanni Bellettini, Paolo Butta', Errico Presutti

Sharp interface limits for non local anisotropic interactions (307K, PostScript file) Apr 4, 00

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Abstract. We prove a convexity property of the surface tension of non local, anisotropic free energy functionals which implies that the Wulff shape is strictly convex and smooth. We also prove that the transport coefficients of the limit anisotropic motion by mean curvature obtained in [J. Stat. Phys. 87 (1997) 63--89] are strictly positive and equal to the stiffness parameters determined by the surface tension.

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