Diffusion in an Isolated Dislocation

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Abstract
The mathematical analysis of diffusion from a constant source into a dislocation and into its surroundings is considered. Because the exact solution to the problem would contain too many terms to be useful, approximate solutions are found. The method of steepest descents gives a useful solution at large distances from the source of diffusing material. This method permits both the concentration and amount of mass transferred to be determined. For experimental considerations, the latter may prove the more useful.

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