Viscous Properties of a Degenerate One-Dimensional Fermi Gas

Abstract

We study the viscous properties of a system of weakly interacting spin-$\frac{1}{2}$ fermions in one dimension. Accounting for the effect of interactions on the quasiparticle energy spectrum, we obtain the bulk viscosity of this system at low temperatures. Our result is valid for frequencies that are small compared with the rate of fermion backscattering. For frequencies larger than this exponentially small rate, the excitations of the system become decoupled from the center of mass motion, and the fluid is described by two-fluid hydrodynamics. We calculate the three transport coefficients required to describe viscous dissipation in this regime.

arXiv comment5 pages, no figures

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Cited by in corpus (4)

• Navier-Stokes Equations for Low-Temperature One-Dimensional Fluids
• Viscous Flow in a 1D Spin-Polarized Fermi Gas: the Role of Integrability on Viscosity
• Viscous dissipation in a gas of one-dimensional fermions with generic dispersion
• Viscous Drude weight of dual Bose and Fermi gases in one dimension