Abstract
We demonstrate that the local diffusion flux in solids depends on stresses arising from compositional inhomogeneities (and even the shape) of the entire specimen. This dependence of local flux on distant inhomogeneity is considered to be a failure of Fickt's law. From an eluation relating stress and composition field, we can find special cases in which a diffusion law resembling Fickt's law occurs, but the anisotropy of the apparent diffusion coefficient reveals that non-local factors are still present. le also examine the case of diffusion through a thin plate for the functional dependence of diffusion on the composition field and predict much deeper diffusional penetration and accumulation on the far side.
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