Bifurcation of binary systems with the Onsager mobility
Journal
Journal of Mathematical Physics
Journal Volume
51
Journal Issue
6
Date Issued
2010
Author(s)
Abstract
The main objective of this article is to study the effect of the (nonlinear) Onsager mobility to the phase separation of the binary system, using rigorous bifurcation analysis. In particular, a nondimensional parameter K, depending on the molar density u0 of the homogeneous state, and the critical temperature is derived; the sign of this parameter dictates the type of transition. Also, the analysis indicates that the type of the transition, the critical temperature Tc, and the strength of the deviation of the transition solutions from the homogeneous state are all independent of the choices of the Onsager mobility.
Type
journal article