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We have picked a sign convention throughout for in which a convex body (such as a sphere with the ``solid'' region being inside, or any Wulff shape) has positive . This sign convention is opposite to that in [4] and in differential geometry, where the mean curvature vector points in the direction in which the surface curves and which is thus a negative multiple of the unit normal vector for a convex body, but it is in accordance to the way the isotropic Gibbs-Thomsen equation is typically written: .

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We will not make a distinction between the kinetic law of attachment or detachment. The velocity is assumed to be an odd function of .

roosen@borax.nist.gov