Boundary integral approach for elliptical dendritic paraboloid as a form of growing crystals

International Conference "Structural and Phase Transformations in Materials: Theory, Computer Modelling and Experiment"

材料科学;计算机科学

Titova, E.A.^1 ; Alexandrov, D.V.^1 ; Galenko, P.K.^2

Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg

620000, Russia^1

Friedrich-Schiller-Universität-Jena, Physikalisch-Astronomische Fakultät, Jena

07743, Germany^2

关键词: Boundary integrals;    Interface propagation;    Steady-state condition;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/192/1/012025/pdf
DOI  :  10.1088/1757-899X/192/1/012025

来源: IOP

【 摘 要 】

A method based on the boundary integral approach to the phase interface propagation is used to obtain the Horvay and Cahn solutions. An elliptical paraboloid as one of the crystal (dendritic) shapes growing under the steady state conditions is derived from the boundary integral.