On the viscosity to entropy density ratio for unitary Bose and Fermi Gases

Details On the viscosity to entropy density ratio for unitary Bose and Fermi Gases On the viscosity to entropy density ratio for unitary Bose and Fermi Gases

2010-12-27

arxiv.org/abs/1012.5653v2

New. J. Phys. 13 (2011) 055015

Physics

Condensed Matter

Quantum Gases

25 pages, 5 figures. v2: Minor addition on high T behavior; minor factors of 2 corrected, with no change in final result

Scientific paper

We calculate the ratio of the viscosity to the entropy density for both Bose and Fermi gases in the unitary limit using a new approach to the quantum statistical mechanics of gases based on the S-matrix. In the unitary limit the scattering length diverges and the S-matrix equals -1. For the fermion case we obtain eta/s > 4.7 times the proposed lower bound of \hbar/4 pi k_B which came from the AdS/CFT for gauge theories, consistent with the most recent experiments. For the bosonic case we present evidence that the gas undergoes a phase transition to a strongly interacting Bose-Einstein condensate, and is a more perfect fluid, with eta/s > 1.3 times the bound.

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