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      Model-independent determination of the shear viscosity of a trapped unitary Fermi gas: Application to high temperature data

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          Abstract

          Determinations of the shear viscosity of trapped ultracold gases suffer from systematic, uncontrolled uncertainties related to the treatment of the dilute part of the gas cloud. In this work we present an analysis of expansion experiments based on a new method, anisotropic fluid dynamics, that interpolates between Navier-Stokes fluid dynamics at the center of the cloud and ballistic behavior in the dilute corona. We validate the method using a comparison between anisotropic fluid dynamics and numerical solutions of the Boltzmann equation. We then apply anisotropic fluid dynamics to the expansion data reported by Cao et al. In the high temperature limit we find \(\eta=0.282(mT)^{3/2}\), which agrees within about 5\% with the theoretical prediction \(\eta=0.269(mT)^{3/2}\).

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          Author and article information

          Journal
          2015-12-02
          2016-03-02
          Article
          10.1103/PhysRevLett.116.115301
          1512.00862
          edfbda0d-5dc0-485f-8a41-4bb6c7ab39da

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          Phys. Rev. Lett. 116, 115301 (2016)
          6 pages, 2 figures; minor revisions, title slightly changed
          cond-mat.quant-gas nucl-th

          Quantum gases & Cold atoms,Nuclear physics
          Quantum gases & Cold atoms, Nuclear physics

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