Viscosity and scale invariance in the unitary Fermi gas


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ENSS, Tilman, Rudolf HAUSSMANN, Wilhelm ZWERGER, 2011. Viscosity and scale invariance in the unitary Fermi gas. In: Annals of Physics. 326(3), pp. 770-796. ISSN 0003-4916. Available under: doi: 10.1016/j.aop.2010.10.002

@article{Enss2011Visco-22022, title={Viscosity and scale invariance in the unitary Fermi gas}, year={2011}, doi={10.1016/j.aop.2010.10.002}, number={3}, volume={326}, issn={0003-4916}, journal={Annals of Physics}, pages={770--796}, author={Enss, Tilman and Haussmann, Rudolf and Zwerger, Wilhelm} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:title>Viscosity and scale invariance in the unitary Fermi gas</dcterms:title> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:date rdf:datatype="">2013-02-26T10:54:01Z</dc:date> <bibo:uri rdf:resource=""/> <dc:contributor>Haussmann, Rudolf</dc:contributor> <dc:language>eng</dc:language> <dc:contributor>Enss, Tilman</dc:contributor> <dc:contributor>Zwerger, Wilhelm</dc:contributor> <dcterms:available rdf:datatype="">2013-02-26T10:54:01Z</dcterms:available> <dc:rights>terms-of-use</dc:rights> <dc:creator>Haussmann, Rudolf</dc:creator> <dcterms:isPartOf rdf:resource=""/> <dc:creator>Enss, Tilman</dc:creator> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:bibliographicCitation>Annals of Physics ; 326 (2011), 3. - S. 770-796</dcterms:bibliographicCitation> <dc:creator>Zwerger, Wilhelm</dc:creator> <dcterms:issued>2011</dcterms:issued> <dcterms:abstract xml:lang="eng">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 which is proportional to the Tan contact. The weight in the transport peak is given by the equilibrium pressure, in agreement with a sum rule due to Taylor and Randeria. Near the superfluid transition the peak width is of the order of $0.5 T_F$, 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 $\hbar/(4\pi k_B)$ by a factor of about seven.</dcterms:abstract> <dcterms:rights rdf:resource=""/> </rdf:Description> </rdf:RDF>

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