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- Title
Diffusion equations in inhomogeneous solid having arbitrary gradient concentration.
- Authors
Bilotsky, Y.; Gasik, M.; Lev, B.
- 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.
- Subjects
NONEQUILIBRIUM flow; HEAT equation; BURGERS' equation; FICK'S laws of diffusion; STATISTICAL mechanics
- Publication
Condensed Matter Physics, 2017, Vol 20, Issue 1, p1
- ISSN
1607-324X
- Publication type
Article
- DOI
10.5488/CMP.20.13201