The Kramers Problem for Quantum Fermi Gases with Velocity - Dependent Collision Frequency and Specular - Diffusive Boundary Conditions

TL;DR

This paper solves the Kramers problem for quantum Fermi gases with velocity-dependent collision frequency under mixed boundary conditions, revealing how isothermal sliding depends on chemical potential.

Contribution

It introduces a solution to the Kramers problem for quantum Fermi gases considering velocity-dependent collisions and mixed boundary conditions, which was not previously addressed.

Findings

Isothermal sliding depends on the chemical potential.

Solution applies to quantum gases with velocity-dependent collision frequency.

Boundary conditions include both specular and diffusive types.

Abstract

The classical Kramers problem of the kinetic theory is solved. The Kramers problem about isothermal sliding for quantum Fermi gases is considered. Quantum gases with the velocity - dependent collision frequency are considered. Specular - diffusive boundary conditions are applied. Dependence of isothermal sliding on the resulted chemical potential is found out.