Open AccessAbout boundary conditions for kinetic equations in metal
Author(s) -
Fakhriddin A. Karimov,
Tu-Ngoc Lam,
А. А. Yushkanov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2056/1/012019
Subject(s) - boundary value problem , boundary (topology) , robin boundary condition , mixed boundary condition , limiting , mathematical analysis , no slip condition , electron , cauchy boundary condition , kinetic energy , mathematics , neumann boundary condition , physics , classical mechanics , quantum mechanics , mechanical engineering , engineering
Boundary conditions for kinetic equations describing the dynamics of electrons in the metal were analyzed. The boundary condition of the Fuchs and the boundary condition of Soffer were considered. The Andreev conditions for almost tangential moving electrons were taken into account. It is shown that the Soffer boundary condition does not satisfy this condition. The boundary condition was proposed that satisfies the Andreev condition. It is shown that this boundary condition passes in the limiting case into the mirror–diffuse Fuchs boundary condition.