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Viscosity-Entropy Ratio of the Unitary Fermi Gas from Zero-Temperature Elementary Excitations

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Abstract

We investigate the low-temperature behavior of the ratio between the shear viscosity η and the entropy density s in the unitary Fermi gas by using a model based on the zero-temperature spectra of both bosonic collective modes and fermonic single-particle excitations. Our theoretical curve of η/s as a function of the temperature T is in qualitative agreement with the experimental data of trapped ultracold 6Li atomic gases. We find the minimum value η/s≃0.44 (in units of ħ/k B ) at the temperature T/T F ≃0.27, with T F the Fermi temperature.

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Authors and Affiliations

  1. Dipartimento di Fisica “Galileo Galilei” and CNISM, Università di Padova, Via Marzolo 8, 35122, Padova, Italy

    Luca Salasnich & Flavio Toigo

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  1. Luca Salasnich
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  2. Flavio Toigo
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Correspondence to Luca Salasnich.

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Salasnich, L., Toigo, F. Viscosity-Entropy Ratio of the Unitary Fermi Gas from Zero-Temperature Elementary Excitations. J Low Temp Phys 165, 239–248 (2011). https://doi.org/10.1007/s10909-011-0391-8

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  • DOI: https://doi.org/10.1007/s10909-011-0391-8

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