Diffusion equations in inhomogeneous solid having arbitrary gradient concentration
Statistical Mechanics
2017-03-31 v1
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.
Cite
@article{arxiv.1703.10372,
title = {Diffusion equations in inhomogeneous solid having arbitrary gradient concentration},
author = {Y. Bilotsky and M. Gasik and B. Lev},
journal= {arXiv preprint arXiv:1703.10372},
year = {2017}
}
Comments
5 pages