Cahn-Hilliard Equations and Phase Transition Dynamics for Binary Systems

Details Cahn-Hilliard Equations and Phase Transition Dynamics for Binary Systems Cahn-Hilliard Equations and Phase Transition Dynamics for Binary Systems

2008-06-07

arxiv.org/abs/0806.1286v1

Discrete and Continuous Dynamical Systems - Series B, 11:3(2009), 741-784

Physics

Mathematical Physics

To appear in Discrete and Continuous Dynamical Systems-B

Scientific paper

10.3934/dcdsb.2009.11.741

The process of phase separation of binary systems is described by the Cahn-Hilliard equation. The main objective of this article is to give a classification on the dynamic phase transitions for binary systems using either the classical Cahn-Hilliard equation or the Cahn-Hilliard equation coupled with entropy, leading to some interesting physical predictions. The analysis is based on dynamic transition theory for nonlinear systems and new classification scheme for dynamic transitions, developed recently by the authors.

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