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arXiv · 1703.10372

Diffusion equations in inhomogeneous solid having arbitrary gradient concentration

Y. Bilotsky·M. Gasik·B. Lev
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Abstract

A quantum kinetic equation is obtained for an inhomogeneous solid having arbitrary gradient concentration and chemical potential. We find, starting from nonequilibrium statistical operator, a new equation to describe atom migration in solid states. In continuous approximation, this equation turns into a non-linear diffusion equation. We derive conditions for which this equation can be reduced to Fick's or Cahn equation.

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Y. Bilotsky, M. Gasik, B. Lev. 2017-03-30. Diffusion equations in inhomogeneous solid having arbitrary gradient concentration. https://doi.org/10.5488/cmp.20.13201

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