A generalized Darken method for multi-component interdiffusion was presented. Equations were presented which permitted the description of the interdiffusion process in the general case where the diffusivities of the components varied with composition, and reaction of the diffusing components at the boundaries was allowed. A reformulated variational form was derived for interdiffusion in a multi-component solid solution which could exchange mass with a surrounding environment. A qualitative agreement between computed and experimental results suggested that the postulated boundary conditions of the generalized Darken’s method correctly described transport processes in open systems. The mathematical results of the simulation of non-parabolic diffusion indicated exciting new possibilities for the study of new processes. A modified Navier-Stokes equation with additional diffusional terms was demonstrated. Although the results had not yet been experimentally verified, it offered new ideas. In particular, it could allow the quantitative modelling of interdiffusion in 3-dimensional geometry.

Generalized Darken’s Method - from Diffusional Structures to Non-Parabolic Diffusion. M.Danielewski, W.Krzyżański, R.Bachorczyk: Solid State Phenomena, 2000, 72, 141-52