W.E. Langlois
Journal of Crystal Growth
We show that concentration-dependent diffusivities that enter Fick's laws can be derived from random-walk models of diffusion. In particular, Darken's phenomenological expression for that dependence results if the transition frequencies depend on the occupation of final states. We develop the one-dimensional discrete-to-continuum passage with some care, and, in particular, we show that fluxes must be defined at the midpoint between lattice sites, even for nonlinear problems.© 1986, American Association of Physics Teachers. All rights reserved.
W.E. Langlois
Journal of Crystal Growth
M.B. Small, R. Ghez
Journal of Applied Physics
R. Ghez
Journal of Crystal Growth
W.E. Langlois
Comput. Methods Appl. Mech. Eng.