Numerical Studies of the Cahn-Hilliard Equation for Phase Separation

Phase separation in a binary mixture is described by the nonlinear evolutionary Cahn-Hilliard equation. In this paper, we discuss the physical background of the equation and describe its solution by the Galerkin finite element method. Some theoretical results are presented and computationally verifi...

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Veröffentlicht in:	IMA journal of applied mathematics 1987, Vol.38 (2), p.97-128
Hauptverfasser:	ELLIOTT, CHARLES M., FRENCH, DONALD A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Condensed matter: structure, mechanical and thermal properties Equations of state, phase equilibria, and phase transitions Exact sciences and technology Physics Solubility, segregation, and mixing phase separation
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Phase separation in a binary mixture is described by the nonlinear evolutionary Cahn-Hilliard equation. In this paper, we discuss the physical background of the equation and describe its solution by the Galerkin finite element method. Some theoretical results are presented and computationally verified.
ISSN:	0272-4960 1464-3634
DOI:	10.1093/imamat/38.2.97