Relaxation of the degenerate one-dimensional Fermi gas
Abstract
In this work, we study how a system of one-dimensional spin-1/2 fermions at temperatures well below the Fermi energy approaches thermal equilibrium. The interactions between fermions are assumed to be weak and are accounted for within the perturbation theory. In the absence of an external magnetic field, spin degeneracy strongly affects relaxation of the Fermi gas. For sufficiently short-range interactions, the rate of relaxation scales linearly with temperature. Focusing on the case of the system near equilibrium, we linearize the collision integral and find the exact solution of the resulting relaxation problem. Furthermore, we discuss the application of our results to the evaluation of the transport coefficients of the one-dimensional Fermi gas.
- Authors:
-
[2]
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Univ. de Toulouse, CNRS, UPS (France). Lab. de Physique Theorique
- Publication Date:
- Research Org.:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Office of Basic Energy Sciences (BES), Materials Sciences and Engineering Division
- OSTI Identifier:
- 1641750
- Grant/Contract Number:
- AC02-06CH11357; ANR-17-EURE-0009
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 4; 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
Citation Formats
Matveev, K. A., and Ristivojevic, Zoran. Relaxation of the degenerate one-dimensional Fermi gas. United States: N. p., 2020.
Web. doi:10.1103/physrevb.102.045401.
Matveev, K. A., & Ristivojevic, Zoran. Relaxation of the degenerate one-dimensional Fermi gas. United States. https://doi.org/10.1103/physrevb.102.045401
Matveev, K. A., and Ristivojevic, Zoran. Wed .
"Relaxation of the degenerate one-dimensional Fermi gas". United States. https://doi.org/10.1103/physrevb.102.045401. https://www.osti.gov/servlets/purl/1641750.
@article{osti_1641750,
title = {Relaxation of the degenerate one-dimensional Fermi gas},
author = {Matveev, K. A. and Ristivojevic, Zoran},
abstractNote = {In this work, we study how a system of one-dimensional spin-1/2 fermions at temperatures well below the Fermi energy approaches thermal equilibrium. The interactions between fermions are assumed to be weak and are accounted for within the perturbation theory. In the absence of an external magnetic field, spin degeneracy strongly affects relaxation of the Fermi gas. For sufficiently short-range interactions, the rate of relaxation scales linearly with temperature. Focusing on the case of the system near equilibrium, we linearize the collision integral and find the exact solution of the resulting relaxation problem. Furthermore, we discuss the application of our results to the evaluation of the transport coefficients of the one-dimensional Fermi gas.},
doi = {10.1103/physrevb.102.045401},
journal = {Physical Review. B},
number = 4,
volume = 102,
place = {United States},
year = {Wed Jul 01 00:00:00 EDT 2020},
month = {Wed Jul 01 00:00:00 EDT 2020}
}
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Works referencing / citing this record:
Quasiparticle energy relaxation in a gas of one-dimensional fermions with Coulomb interaction
text, January 2021
- Ristivojevic, Zoran; Matveev, K. A.
- arXiv