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.

5 pages, no figures

References in corpus (8)

• Spin-charge separation in one-dimensional fermion systems beyond the Luttinger liquid theory
• Energy relaxation and thermalization of hot electrons in quantum wires
• Viscous Dissipation in One-Dimensional Quantum Liquids
• Thermal Transport in One Dimensional Electronic Fluid
• Thermal conductivity of the degenerate one-dimensional Fermi gas
• Second sound in systems of one-dimensional fermions
• Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
• Equilibration of Quasi-One-Dimensional Fermi Gases

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