Abstract:
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.
Keywords:
phase transitions, temperature gradient, mobile impurities, capillary-wave model, formation of periodic impurity superstructures.
Citation:
A. A. Chevrychkina, N. M. Bessonov, A. L. Korzhenevskii, “Nonlinear dynamics of the formation of a periodic superstructure of impurity bands during rapid directional solidification of binary alloys”, Fizika Tverdogo Tela, 61:11 (2019), 2122–2129; Phys. Solid State, 61:11 (2019), 2096–2103
\Bibitem{CheBesKor19}
\by A.~A.~Chevrychkina, N.~M.~Bessonov, A.~L.~Korzhenevskii
\paper Nonlinear dynamics of the formation of a periodic superstructure of impurity bands during rapid directional solidification of binary alloys
\jour Fizika Tverdogo Tela
\yr 2019
\vol 61
\issue 11
\pages 2122--2129
\mathnet{http://mi.mathnet.ru/ftt8625}
\crossref{https://doi.org/10.21883/FTT.2019.11.48417.528}
\elib{https://elibrary.ru/item.asp?id=41300782}
\transl
\jour Phys. Solid State
\yr 2019
\vol 61
\issue 11
\pages 2096--2103
\crossref{https://doi.org/10.1134/S106378341911012X}
Linking options:
https://www.mathnet.ru/eng/ftt8625
https://www.mathnet.ru/eng/ftt/v61/i11/p2122
This publication is cited in the following 4 articles:
A. Chevrychkina, A. Korzhenevskii, “Analytical study of self-oscillatory pattern-forming crystal growth in two-parabola model”, Eur. Phys. J. Spec. Top., 231:6 (2022), 1147
A. A. Chevrychkina, A. L. Korzhenevskii, “Effect of the processes of microsegregation on the formation of periodic doping superstructures in binary alloys”, Phys. Solid State, 63:11 (2021), 1626–1632
A. A. Chevrychkina, N. M. Bessonov, A. L. Korzhenevskii, “Formation of regular layered structures upon solid-state phase transitions with varying the concentration”, Phys. Solid State, 62:8 (2020), 1398–1406
A. A. Chevrychkina, A. L. Korzhenevskii, “Control of impurity microstructure formed during a nonequilibrium phase transition in a diluted ternary alloy”, Phys. Solid State, 62:12 (2020), 2365–2373
Citation in format AMSBIB
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