A mathematical model for phase separation: A generalized Cahn-Hilliard equation

Details A mathematical model for phase separation: A generalized Cahn-Hilliard equation A mathematical model for phase separation: A generalized Cahn-Hilliard equation

2011-02-07

arxiv.org/abs/1102.1250v1

Mathematical Methods in the Applied Science, 2011

Physics

Mathematical Physics

9 pages, 1 figure, Published online in Wiley Online Library

Scientific paper

10.1002/mma.1432

In this paper we present a mathematical model to describe the phenomenon of phase separation, which is modelled as space regions where an order parameter changes smoothly. The model proposed, including thermal and mixing effects, is deduced for an incompressible fluid, so the resulting differential system couples a generalized Cahn-Hilliard equation with the Navier-Stokes equation. Its consistency with the second law of thermodynamics in the classical Clausius-Duhem form is finally proved.

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