Linking boundary conditions for kinetic and hydrodynamic description of fermion gas

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.

References in corpus (8)

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• Hydrodynamics in graphene: Linear-response transport
• Non-local transport and the Hall viscosity of 2D hydrodynamic electron liquids
• Electron hydrodynamics dilemma: whirlpools or no whirlpools
• Stokes paradox in electronic Fermi liquids
• Kinetic theory of transport for inhomogeneous electron fluids
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Cited by in corpus (8)

• Hydrodynamic approach to two-dimensional electron systems
• Hall effect in Poiseuille flow of two-dimensional electron fluid
• Para-hydrodynamics from weak surface scattering in ultraclean thin flakes
• Nonlocal conductivity, continued fractions and current vortices in electron fluids
• Geometric engineering of viscous magnetotransport in a two-dimensional electron system
• Superballistic boundary conductance and hydrodynamic transport in microstructures
• Obstacle-Induced Gurzhi Effect and Hydrodynamic Electron Flow in Two-Dimensional Systems
• Optical N-plasmon: Topological hydrodynamic excitations in Graphene from repulsive Hall viscosity