Viscous dissipation in a gas of one-dimensional fermions with generic dispersion

DeGottardi, Wade; Matveev, K. A.

doi:10.1103/physrevb.107.075442

Viscous dissipation in a gas of one-dimensional fermions with generic dispersion

Journal Article · Tue Feb 28 00:00:00 EST 2023 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.107.075442· OSTI ID:1991610

^[1]; Matveev, K. A. ^[2]

Texas Tech University, Lubbock, TX (United States)
Argonne National Laboratory (ANL), Argonne, IL (United States)

A well-known feature of the classical monoatomic gas is that its bulk viscosity is strongly suppressed because the single-particle dispersion is quadratic. On the other hand, in condensed matter systems the effective single -particle dispersion is altered by lattice effects and interactions. In this work, we study the bulk viscosity of one-dimensional Fermi gases with generic energy-momentum dispersion relations. As an application, viscous dissipation arising from lattice effects is analyzed for the tight-binding model. In addition, we investigate how weak interactions affect the bulk viscosity. Finally, we discuss viscous dissipation in the regime in which the Fermi gas is not fully equilibrated, as can occur when the system is driven at frequencies that exceed the rate of fermion backscattering. In this case, the Fermi gas is described by three bulk viscosities, which we obtain for a generic single-particle dispersion.

View Accepted Manuscript (DOE)

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1991610

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 7 Vol. 107; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Viscous dissipation in a gas of one-dimensional fermions with generic dispersion

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