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Article overview
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Viscosity and scale invariance in the unitary Fermi gas | Tilman Enss
; Rudolf Haussmann
; Wilhelm Zwerger
; | Date: |
30 Jul 2010 | Abstract: | We compute the shear viscosity of the unitary Fermi gas above the superfluid
transition temperature, using a diagrammatic technique that starts from the
exact Kubo formula. The formalism obeys a Ward identity associated with scale
invariance which guarantees that the bulk viscosity vanishes identically. For
the shear viscosity, vertex corrections and the associated Aslamazov-Larkin
contributions are shown to be crucial to reproduce the full Boltzmann equation
result in the high-temperature, low fugacity limit. The frequency dependent
shear viscosity $eta(omega)$ exhibits a Drude-like transport peak and a
power-law tail at large frequencies that is proportional to the Tan contact.
The weight in the transport peak is given by the equilibrium energy density,
consistent with a sum rule that has recently been derived by Taylor and
Randeria. Near the superfluid transition, the peak width is of the order $0.5,
T_F$, thus invalidating a quasiparticle description. The ratio $eta/s$ between
the static shear viscosity and the entropy density exhibits a minimum near the
superfluid transition temperature whose value is larger than the string theory
bound $hbar/(4pi k_B)$ by a factor of about seven. | Source: | arXiv, 1008.0007 | Services: | Forum | Review | PDF | Favorites |
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