Abstract
We describe recent attempts to extract the shear viscosity of the dilute Fermi gas at unitarity from experiments involving scaling flows. A scaling flow is a solution of the hydrodynamic equations that preserves the shape of the density distribution. The scaling flows that have been explored in the laboratory kflccare the transverse expansion from a deformed trap (“elliptic flow”), the expansion from a rotating trap, and collective oscillations. We discuss advantages and disadvantages of the different experiments, and point to improvements of the theoretical analysis that are needed in order to achieve definitive results. A conservative bound based on the current data is that the minimum of the shear viscosity to entropy density ration is \(\eta/s\leq 0.5 \hbar/k_B.\)
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Acknowledgments
This work was supported in parts by the US Department of Energy grant DE-FG02-03ER41260. We are grateful to John Thomas for many useful discussions, and to Jiunn-Wei Chen for pointing out an error in an earlier version of this contribution.
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Schäfer, T., Chafin, C. (2012). Scaling Flows and Dissipation in the Dilute Fermi Gas at Unitarity. In: Zwerger, W. (eds) The BCS-BEC Crossover and the Unitary Fermi Gas. Lecture Notes in Physics, vol 836. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21978-8_10
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