Cahn-Hilliard Equations and Phase Transition Dynamics for Binary Systems

Abstract

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.

To appear in Discrete and Continuous Dynamical Systems-B

References in corpus (5)

• Dynamic Phase Transitions in PVT Systems
• Stratified Rotating Boussinesq Equations in Geophysical Fluid Dynamics: Dynamic Bifurcation and Periodic Solutions
• Dynamic Phase Transitions for Ferromagnetic Systems
• Dynamic Model and Phase Transitions for Liquid Helium
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Cited by in corpus (11)

• Origin of the Electron-Phonon Interaction of Topological Semimetal Surfaces Measured with Helium Atom Scattering
• Dynamic Transition Theory for Thermohaline Circulation
• The Electron-Phonon Interaction of Low-Dimensional and Multi-Dimensional Materials from He Atom Scattering
• Phase Separation of Binary Systems
• Dynamic Model and Phase Transitions for Liquid Helium
• High order finite element calculations for the deterministic Cahn-Hilliard equation
• Dynamic Transitions for Quasilinear Systems and Cahn-Hilliard equation with Onsager mobility
• Phase Transitions for the Brusselator Model
• Dynamic Transitions and Pattern Formations for Cahn-Hilliard Model with Long-Range Repulsive Interactions
• Local and Global Dynamic Bifurcations of Nonlinear Evolution Equations
• Dynamic Transition and Pattern Formation in Taylor Problem