Open AccessНелинейная динамика формирования периодической сверхструктуры примесных полос при быстрой направленной кристаллизации бинарных сплавов
Author(s) -
А.А. Чеврычкина,
Н.М. Бессонов,
А.Л. Корженевский
Publication year - 2019
Publication title -
fizika tverdogo tela
Language(s) - English
Resource type - Journals
eISSN - 1726-7498
pISSN - 0367-3294
DOI - 10.21883/ftt.2019.11.48417.528
Subject(s) - impurity , crystallization , binary number , materials science , nonlinear system , limit (mathematics) , product (mathematics) , condensed matter physics , thermodynamics , physics , mathematics , geometry , quantum mechanics , mathematical analysis , arithmetic
The article offers an analytical description of the nonlinear dynamics of the formation of regular impurity superstructures during the rapid crystallization of binary alloys, supplemented by numerical model calculations. The existence of a stable limit cycle is shown and the spatial profiles of the impurity concentration in a solid product are calculated. It has been established that considering the finiteness of the velocity of jumps of impurity atoms leads to a very significant decrease in the size of the cycles and a change in the profiles of the impurity superstructures.