Nonlinear Dynamics of the Formation of a Periodic Superstructure of Impurity Bands during Rapid Directional Solidification of Binary Alloys

An analytical description is proposed for the nonlinear dynamics of formation of regular impurity superstructures during a rapid solidification of binary alloys supplemented by a numerical model calculation. It is shown that there is a stable limit cycle, and spatial profiles of the impurity concent...

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Bibliographic Details
Published in:Physics of the solid state 2019-11, Vol.61 (11), p.2096-2103
Main Authors: Chevrychkina, A. A., Bessonov, N. M., Korzhenevskii, A. L.
Format: Article
Language:English
Subjects:
ABUNDANCE
Alloys
Analysis
ANALYTIC FUNCTIONS
BINARY ALLOY SYSTEMS
Binary alloys
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Directional solidification
ELECTRONIC STRUCTURE
IMPURITIES
Impurity Centers
KINETICS
LIMIT CYCLE
Musical groups
Nonlinear dynamics
NONLINEAR PROBLEMS
Numerical models
PERIODICITY
Physics
Physics and Astronomy
Rapid solidification
Solid State Physics
SOLIDIFICATION
Superstructures
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Summary:An analytical description is proposed for the nonlinear dynamics of formation of regular impurity superstructures during a rapid solidification of binary alloys supplemented by a numerical model calculation. It is shown that there is a stable limit cycle, and spatial profiles of the impurity concentration in a solid product are calculated. The inclusion of a finiteness of the impurity atom jump velocity is found to lead to very substantial decrease in the cycle sizes and a change in the profiles of impurity superstructures.
ISSN:1063-7834
1090-6460
DOI:10.1134/S106378341911012X