Diffusion equations in inhomogeneous solid having arbitrary gradient concentration

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2017
Major/Subject
Mcode
Degree programme
Language
en
Pages
Series
CONDENSED MATTER PHYSICS, Volume 20, issue 1
Abstract
A quantum kinetic equation is obtained for an inhomogeneous solid having arbitrary gradient concentration and chemical potential. We 1nd, 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.
Description
CC-BY after April 2017; prior to April 2017 authors retain copyright and grant the journal right of first publication
Keywords
Diffusion process, Nonequilibrium statistical operator, Solid state
Other note
Citation
Bilotsky , Y , Gasik , M & Lev , B 2017 , ' Diffusion equations in inhomogeneous solid having arbitrary gradient concentration ' , Condensed Matter Physics , vol. 20 , no. 1 , 13201 . https://doi.org/10.5488/CMP.20.13201