Journal ArticleDOI
Spinodal decomposition in ternary alloys
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In this article, the Langer theory of spinodal decomposition in binary solutions is extended to the case of ternary alloys, and a system of diffusion equations in the Cahn-Hilliard approximation and equations of motion for the three independent partial structure functions are derived.About:
This article is published in Acta Metallurgica.The article was published on 1989-09-01. It has received 34 citations till now. The article focuses on the topics: Spinodal & Spinodal decomposition.read more
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Reference EntryDOI
Homogeneous Second‐Phase Precipitation
TL;DR: In this paper, the authors defined a cluster-dynamics approach to generalized nucleation theory and compared it with the classical and non-classical nucleation models.
Journal ArticleDOI
On anisotropic order parameter models for multi-phase system and their sharp interface limits
TL;DR: For a general class of diffuse anisotropic multi-phase order parameter (or phase-field) models, this paper used formally matched asymptotic expansions to determine the asymPTotic limit when a small parameter related to the thickness of the interface tends to zero.
Journal ArticleDOI
Systems of Cahn-Hilliard equations
TL;DR: The phase separation of alloys with two or more components is studied, with emphasis on more than two components, and linear analysis is used to predict that a pseudo-binary will initially result from spinodal decomposition.
Journal ArticleDOI
Diffusional phase transitions in multicomponent systems with a concentration dependent mobility matrix
Charles M. Elliott,Harald Garcke +1 more
TL;DR: In this article, a model for phase separation in multicomponent systems is studied and the possibility of a concentration dependence of the mobility matrix is taken into account, leading to a system of fourth-order degenerate parabolic partial differential equations.
Journal Article
A singular limit for a system of degenerate Cahn-Hilliard equations
Harald Garcke,Amy Novick-Cohen +1 more
TL;DR: In this article, a singular limit for a system of Cahn-Hilliard equations with a degenerate mobility matrix near the deep quench limit is considered, which gives rise to geometric motion in which the interfaces between the various pure phases move by motion by minus the surface Laplacian of mean curvature.
References
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Journal ArticleDOI
Free Energy of a Nonuniform System. I. Interfacial Free Energy
John W. Cahn,John E. Hilliard +1 more
TL;DR: In this article, it was shown that the thickness of the interface increases with increasing temperature and becomes infinite at the critical temperature Tc, and that at a temperature T just below Tc the interfacial free energy σ is proportional to (T c −T) 3 2.
Journal ArticleDOI
On spinodal decomposition
TL;DR: In this article, the stability of a solid solution to all infinitesimal composition fluctuations is considered, taking surface tension and elastic energy into account, and it is found that for infinite isotropic solids, free from imperfections, the spinodal marks the limit of metastability to such fluctuations only if there is no change in molar volume with composition.
Journal ArticleDOI
Free Energy of a Nonuniform System. III. Nucleation in a Two‐Component Incompressible Fluid
John W. Cahn,John E. Hilliard +1 more
TL;DR: In this article, the saddle point in the expression derived in Paper I (see reference 8) for the free energy of a nonuniform system was used to derive the properties of a critical nucleus in a two-component metastable fluid.
Journal ArticleDOI
Brownian motion in spinodal decomposition
TL;DR: In this paper, the influence of Brownian motion on the rate of change of the diffuse intensity is characterized by a thermal driving force proportional to k B T where k B is Boltzmann's constant and T is the temperature.
Journal ArticleDOI
New computational method in the theory of spinodal decomposition
TL;DR: A new series of calculations in the theory of spinodal decomposition is presented, based on a simple ansatz for the two-point distribution function which leads to closure of the hierarchy of equations of motion for the high-order correlation functions.