The Cell-Jamp Formalism of Multicomponent Nonlinear Diffusion

Abstract

In this paper, based on the idea of the mechanism of the elementary diffusion act, borrowed from chemical kinetics, an approach was developed to describe the nonlinear multicomponent diffusion. This approach allows to construct a matrix of diffusion coefficients, the members of which represent all possible variants of crisscrossed coefficients of diffusion. It was shown that diffusion coefficients have the form of a polynomial function of the concentrations of the system components. The developed approach differs from the generalized diffusion equations for multicomponent systems based on the Fick’s law, the application of which often leads to discrepancy (balance relations are violated).This formalism allows to perform numerical modelling of complex diffusion processes in multicomponent systems.