Second-order fluid dynamics for the unitary Fermi gas from kinetic theory

Thomas Schäfer
Phys. Rev. A 90, 043633 – Published 29 October 2014

Abstract

We compute second-order transport coefficients of the dilute Fermi gas at unitarity. The calculation is based on kinetic theory and the Boltzmann equation at second order in the Knudsen expansion. The second-order transport coefficients describe the shear stress relaxation time, nonlinear terms in the strain-stress relation, and nonlinear couplings between vorticity and strain. An exact calculation in the dilute limit gives τR=η/P, where τR is the shear stress relaxation time, η is the shear viscosity, and P is pressure. This relation is identical to the result obtained using the Bhatnagar-Gross-Krook approximation to the collision term, but other transport coefficients are sensitive to the exact collision integral.

  • Received 19 June 2014
  • Revised 28 August 2014

DOI:https://doi.org/10.1103/PhysRevA.90.043633

©2014 American Physical Society

Authors & Affiliations

Thomas Schäfer

  • Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA

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Issue

Vol. 90, Iss. 4 — October 2014

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