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  • Letter

Linking boundary conditions for kinetic and hydrodynamic description of fermion gas

O. E. Raichev

  • Institute of Semiconductor Physics NAS of Ukraine, Prospekt Nauki 41, 03028 Kyiv, Ukraine

Phys. Rev. B 105, L041301 – Published 28 January, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L041301

Abstract

An approximate analytical solution of the boundary slip problem in magnetic field is obtained by using the general form of boundary conditions for the distribution function of fermions with the isotropic energy spectrum. Exact numerical calculations of the slip length for different models of angle-dependent specularity parameter and application of the results to the description of the Poiseuille flow demonstrate the reliability of the approximate solution for establishing a direct link between the hydrodynamic and the kinetic approaches to transport in bounded fermion systems.

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