Governing Principle of Dissipative Processes applied to non-stationary diffusion

Abstract

One-dimensional diffusion in a membrane is studied by solution of the according Euler-Lagrange equations derived from Gyarmati's governing principle of dissipative processes. In the linear case the exact solution is found for ternary ideal systems (dilute ideal solution in contact with the membrane). In the quasilinear case of a binary ideal system solutions are searched by Stark's dual field methods.