It can be observed that the equation for "stress-assisted diffusion" applied by Shewmon (P.G. Shewmon, Diffusion in solids, McGraw-Hill, 1963) is simply the Einstein-Smoluchowski equation. In turn, for a constant temperature field, the modified Fick law (introduced in: S. Piekarski, On the modified Fick law and its potential applications, J. Tech. Phys., 44, 2, 125-131, 2003) reduces to the Einstein-Smoluchowski equation. Therefore, the solutions of the modified Fick law can be adopted to the problems considered by Shewmon. In this paper, the problems of diffusion and thermodiffusion in the strain fields of dislocations (screw and edge) are considered and new solutions are briefly discussed.
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