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Fizika Tverdogo Tela, 2019, Volume 61, Issue 11, Pages 2122–2129
DOI: https://doi.org/10.21883/FTT.2019.11.48417.528 (Mi ftt8625) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Impurity centers

Nonlinear dynamics of the formation of a periodic superstructure of impurity bands during rapid directional solidification of binary alloys

A. A. Chevrychkina, N. M. Bessonov, A. L. Korzhenevskii

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
Full-text PDF (165 kB) Citations (4) English version article
DOI: https://doi.org/10.21883/FTT.2019.11.48417.528
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.
Funding agency Grant number
Russian Science Foundation 19-19-00552
This work was supported by the Russian Science Foundation, project no. 19-19-00552.
Received: 25.06.2019
Revised: 25.06.2019
Accepted: 02.07.2019
English version:
Physics of the Solid State, 2019, Volume 61, Issue 11, Pages 2096–2103
DOI: https://doi.org/10.1134/S106378341911012X
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
\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}
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  • https://www.mathnet.ru/eng/ftt/v61/i11/p2122
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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