## Abstract A numerical method for simulating spinodal decomposition in ternary systems with orderβofβmagnitude differences in diffusion coefficients is presented. The method has been partially verified by molecular dynamic simulations and gives results equivalent to the standard technique when the
Spinodal decomposition in ternary systems
β Scribed by J.E Morral; J.W Cahn
- Publisher
- Elsevier Science
- Year
- 1971
- Weight
- 958 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0001-6160
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β¦ Synopsis
A survey of spinodal decomposition theory, with the purpose of comparing binary and ternary systems, indicated differences in the measurable properties and in the time evolution of low angle X-ray intensity. These differences will not always be observed in experiments, however, in which case binary and ternary systems will appear the same.
Similarities between the two systems become most evident when one considers various approximate solutions to the ternary diffusion equation.
DECOMPOSITION SPINODALE DANS LES SYSTEMES TERNAIRES
Une etude de la theorie de la decomposition spinodale, ayant pour but de comparer lea systemes binaires et ternaires, mettait en evidence lea differences des proprietes mesurables et du temps d'evolution de l'intensite des rayons X aux petits angles. Ces differences ne sont pas toujours observees cependant dans lea experiences, dans ces c&s, lea systemes binaires et ternaires apparaissent identiques. C'est lorsqu'on considere lea differentes solutions approchees de l'equation de diffusion ternaire que les similitudes entre lea deux systemes deviennent le plus Bvidentes. SPINODALE ENTMISCHUNG IN TERNAREN SYSTEMEN Ein Uberblick tiber die Theorie der spinodalen Entmischung sum Zwecke des Vergleichs binarer und ternarer Systeme lieferte Hinweise auf Unterschiede in den me5baren Eigenschaften und in der zeitlichen Entwicklung der Intensitat der Rontgen-Kleinwinkelstreuung. Diese Unterschiede kiinnen jedoch nicht in allen Experimenten beobachtet werden; in diesem Fall sind binare und tern&e Legierungen scheinbar gleioh. Ahnlichkeiten zwischen den zwei Systemen werden deutlich, wenn man verschiedene Naherungslosungen der ternaren Diffusionsgleichung betraohtet.
π SIMILAR VOLUMES
The Langer theory of spinodal decomposition in binary solutions is extended to the case of ternary alloys. A ternary master equation is obtained from which a system of diffusion equations in the Cahn-Hilliard approximation and equations of motion for the three independent partial structure functions
Solubility phenomena are analyzed for ternary nonideal liquid systems for which GE = ,T~~x,x~+ 01~~x,x~ + WSCZY~ + UXIXSI where a represents the ternary effect. Spinodal curves for this type of systems can generate any of the known miscibility curves.