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Title: Elliptic flow of the dilute Fermi gas: From kinetics to hydrodynamics

Abstract

We use the Boltzmann equation in the relaxation-time approximation to study the expansion of a dilute Fermi gas at unitarity. We focus, in particular, on the approach to the hydrodynamic limit. Our main findings are the following: (i) In the regime that has been studied experimentally hydrodynamic effects beyond the Navier-Stokes approximation are small. (ii) Mean-field corrections to the Boltzmann equation are not important. (iii) Experimental data imply that freezeout occurs very late, which means that the relaxation time remains smaller than the expansion time during the entire evolution of the system. (iv) The experimental results also imply that the bulk viscosity is significantly smaller than the shear viscosity of the system.

Authors:
;  [1]
  1. Department of Physics, North Carolina State University, Raleigh, North Carolina 27695 (United States)
Publication Date:
OSTI Identifier:
22058755
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; APPROXIMATIONS; BOLTZMANN EQUATION; FERMI GAS; HYDRODYNAMICS; KINETICS; MEAN-FIELD THEORY; NAVIER-STOKES EQUATIONS; RELAXATION TIME; VISCOSITY

Citation Formats

Dusling, K., and Schaefer, T. Elliptic flow of the dilute Fermi gas: From kinetics to hydrodynamics. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.013622.
Dusling, K., & Schaefer, T. Elliptic flow of the dilute Fermi gas: From kinetics to hydrodynamics. United States. doi:10.1103/PHYSREVA.84.013622.
Dusling, K., and Schaefer, T. Fri . "Elliptic flow of the dilute Fermi gas: From kinetics to hydrodynamics". United States. doi:10.1103/PHYSREVA.84.013622.
@article{osti_22058755,
title = {Elliptic flow of the dilute Fermi gas: From kinetics to hydrodynamics},
author = {Dusling, K. and Schaefer, T.},
abstractNote = {We use the Boltzmann equation in the relaxation-time approximation to study the expansion of a dilute Fermi gas at unitarity. We focus, in particular, on the approach to the hydrodynamic limit. Our main findings are the following: (i) In the regime that has been studied experimentally hydrodynamic effects beyond the Navier-Stokes approximation are small. (ii) Mean-field corrections to the Boltzmann equation are not important. (iii) Experimental data imply that freezeout occurs very late, which means that the relaxation time remains smaller than the expansion time during the entire evolution of the system. (iv) The experimental results also imply that the bulk viscosity is significantly smaller than the shear viscosity of the system.},
doi = {10.1103/PHYSREVA.84.013622},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}