Aspects of the phenomenological theory of diffusion
In: Bulletin de la Classe des sciences, Band 45, Heft 1, S. 108-115
Two phenomenological diffusion theories based, respectively, on thermodynamics of irreversible processes and on a dynamical method are compared.
It is shown that both formulations correctly describe the diffusion process, and that the selection of the appropriate scheme for a particular problem is a matter of convenience. The formulation according to irreversible thermodynamics appears, however, -preferable for problems involving the differential diffusion equation.
The matrix of coefficients connecting the two formulations is calculated explicitly in a form applicable to all reference frames for the bulk velocity.