Abstract

Grain boundary and surface diffusion are considered as possible means for extending the range of solid diffusion in metasomatic processes. A mathematical model of a granular solid is proposed, and an asymptotic (large-time) solution for diffusion in this system is obtained, giving the distribution of solute as a function of distance and time. It is assumed that both lattice and grain boundary diffusion are operative, and that unit concentration is maintained at the free surface of the solid for all time. The solution strongly suggests that surface and grain boundary diffusion cannot greatly extend the range of solid diffusion over that obtained by strictly lattice mobility.

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