Formation of Ordered Structure from Vacancies at Two-Dimensional Rectangular Plate
E. E. Zasimchuk, V. I. Zasimchuk, O. S. Gatsenko
Институт металлофизики им. Г. В. Курдюмова НАН Украины, бульв. Академика Вернадского, 36, 03142 Киев, Украина
Получена: 08.05.2022; окончательный вариант - 19.07.2022. Скачать: PDF
The conditions of vacancies’-concentration ordered-distribution formation inside the two-dimensional rectangular plate are considered. Corresponding equation for the stationary case is analysed. The interaction between vacancies is described by the function $S(x, y)$; in the work, evident expression for $S(x, y)$ is found. As shown, for the constant temperature on a surface plate, self-organization (ordered-distribution formation) can take place only inside the very little plate. It is possible the onset of complicated dependence of vacancies’ density on the co-ordinates within the big plate, if there is a functional dependence of temperature on the plate co-ordinates.
Ключевые слова: self-organization, vacancies, ordered solutions, boundary conditions, eigenvalues, eigenfunctions.
URL: https://mfint.imp.kiev.ua/ru/abstract/v44/i10/1335.html
PACS: 02.30.Jr, 05.65.+b, 61.72.Bb, 61.72.Cc, 61.72.jd