Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Free expansion and rotation

T. Schäfer
Phys. Rev. A 82, 063629 – Published 27 December 2010

Abstract

We investigate the expansion dynamics of a dilute Fermi gas at unitarity in the context of dissipative fluid dynamics. Our aim is to quantify the effects of shear viscosity on the time evolution of the system. We compare exact numerical solutions of the equations of viscous hydrodynamics to various approximations that have been proposed in the literature. Our main findings are (i) shear viscosity leads to characteristic features in the expansion dynamics; (ii) a quantitative description of these effects has to include reheating; (iii) dissipative effects are not sensitive to the equation of state P(n,T) as long as the universal relation P=23E is satisfied; (iv) the expansion dynamics mainly constrains the cloud average of the shear viscosity.

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  • Received 12 October 2010

DOI:https://doi.org/10.1103/PhysRevA.82.063629

© 2010 The American Physical Society

Authors & Affiliations

T. Schäfer

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

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Issue

Vol. 82, Iss. 6 — December 2010

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