Viscous dissipation in a gas of one-dimensional fermions with generic dispersion
Abstract
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.
- Authors:
-
[1];
- Texas Tech University, Lubbock, TX (United States)
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
- OSTI Identifier:
- 1991610
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 107; Journal Issue: 7; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Mesoscopics; 1-dimensional systems; Quantum fluids & solids; Quantum many-body systems; Condensed Matter, Materials & Applied Physics
Citation Formats
DeGottardi, Wade, and Matveev, K. A. Viscous dissipation in a gas of one-dimensional fermions with generic dispersion. United States: N. p., 2023.
Web. doi:10.1103/physrevb.107.075442.
DeGottardi, Wade, & Matveev, K. A. Viscous dissipation in a gas of one-dimensional fermions with generic dispersion. United States. https://doi.org/10.1103/physrevb.107.075442
DeGottardi, Wade, and Matveev, K. A. Tue .
"Viscous dissipation in a gas of one-dimensional fermions with generic dispersion". United States. https://doi.org/10.1103/physrevb.107.075442. https://www.osti.gov/servlets/purl/1991610.
@article{osti_1991610,
title = {Viscous dissipation in a gas of one-dimensional fermions with generic dispersion},
author = {DeGottardi, Wade and Matveev, K. A.},
abstractNote = {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.},
doi = {10.1103/physrevb.107.075442},
journal = {Physical Review. B},
number = 7,
volume = 107,
place = {United States},
year = {Tue Feb 28 00:00:00 EST 2023},
month = {Tue Feb 28 00:00:00 EST 2023}
}
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