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Phys Rev Lett. 2017 Aug 11;119(6):065302. doi: 10.1103/PhysRevLett.119.065302. Epub 2017 Aug 10.

Determination of the Density and Temperature Dependence of the Shear Viscosity of a Unitary Fermi Gas Based on Hydrodynamic Flow.

Physical review letters

Marcus Bluhm, Jiaxun Hou, Thomas Schäfer

Affiliations

  1. Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA.
  2. Institute of Theoretical Physics, University of Wroc?aw, 50204 Wroc?aw, Poland.

PMID: 28949627 DOI: 10.1103/PhysRevLett.119.065302

Abstract

We determine the shear viscosity of the ultracold Fermi gas at unitarity in the normal phase using hydrodynamic expansion data. The analysis is based on a generalized fluid dynamic framework which ensures a smooth transition between the fluid dynamic core of the cloud and the ballistic corona. We use expansion data taken by Joseph, Elliott, and Thomas [Shear Viscosity of a Universal Fermi Gas Near the Superfluid Phase Transition, Phys. Rev. Lett. 115, 020401 (2015).PRLTAO0031-900710.1103/PhysRevLett.115.020401] and measurements of the equation of state by Ku et al. [Revealing the superfluid lambda transition in the universal thermodynamics of a unitary Fermi gas, Science 335, 563 (2012).SCIEAS0036-807510.1126/science.1214987]. We find that the shear viscosity to particle density ratio just above the critical temperature is η/n|_{T_{c}}=0.41±0.11. We also obtain evidence that the shear viscosity to entropy density ratio has a minimum slightly above T_{c} with η/s|_{min}=0.50±0.10.

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