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

TL;DR

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

Contribution

It provides an analytical solution to the quantum Kramers problem considering velocity-dependent collisions and diffusive boundaries, a novel approach in quantum kinetic theory.

Findings

Isothermal sliding depends on the chemical potential.

Analytical solution for quantum Fermi gases with velocity-dependent collision frequency.

Application of diffusive boundary conditions in quantum kinetic problems.

Abstract

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