Geodesic
Zero-viscosity limit in a~holographic Gauss--Bonnet liquid
Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 76-90

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In recent papers, it was hypothesized that there exist dissipationless quantum liquids, i.e., liquids with zero or vanishingly small viscosity and zero entropy production, which nevertheless have nontrivial second-order transport coefficients. A natural candidate for a dissipationless liquid is the hypothetical conformal quantum liquid, whose holographically dual description in the infrared limit is given by the five-dimensional Gauss–Bonnet gravity. It is known that shear viscosity in that theory can be made arbitrarily small as the Gauss–Bonnet coupling parameter approaches a critical value. We evaluate the transport coefficients of a Gauss–Bonnet liquid (nonperturbatively in the coupling parameter; three of the six coefficients were previously unknown) and consider the zero-viscosity limit. We show that three of the five second-order coefficients are nonzero in this limit, but they do not satisfy the criterion of zero entropy production. Hence, the holographic Gauss–Bonnet liquid is not a dissipationless quantum liquid.
Keywords: gauge–gravitational duality, hydrodynamics, viscosity.
Mots-clés : Gauss–Bonnet gravity, transport coefficient 
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     author = {S. Grozdanov and A. O. Starinetz},
     title = {Zero-viscosity limit in a~holographic {Gauss--Bonnet} liquid},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_182_1_a3/}
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S. Grozdanov; A. O. Starinetz. Zero-viscosity limit in a~holographic Gauss--Bonnet liquid. Teoretičeskaâ i matematičeskaâ fizika, Tome 182 (2015) no. 1, pp. 76-90. http://geodesic.mathdoc.fr/item/TMF_2015_182_1_a3/