Rate of Morphological Interface Evolution

7-space as seen in Eq. C.20 the second derivative used to obtain the divergence is taken along the evolving interface. 

Evolution by Surface Diffusion and by Vapor Transport. Although calculation of the morphological evolution for particular cases can become tedious, the kinetic equations are straightforward extensions of the isotropic case [11], For the movement of an anisotropic surface by surface diffusion, the normal interface velocity is an extension of Eq. 14.6 which holds for the isotropic case for the anisotropic case, 

If the surface diffusivity is anisotropic, its surface derivatives must appear as well. 

For movement by vapor transport of an anisotropic interface that is exposed to a vapor in equilibrium with a very large particle6, the normal interface velocity is an extension of Eq. 14.17  

The expression for weighted mean curvature for any surface in local equilibrium is simplified when the Wulff shape is completely faceted [10, 12], In this case, 

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