Journal
THEORETICAL AND MATHEMATICAL PHYSICS
Volume 182, Issue 1, Pages 61-73Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1007/s11232-015-0245-7
Keywords
gauge-gravitational duality; Gauss-Bonnet gravity; hydrodynamics; transport coefficient; viscosity
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Funding
- European Research Council (ERC) [307955]
- STFC [ST/L000474/1, PP/E005985/2] Funding Source: UKRI
- Science and Technology Facilities Council [ST/L000474/1, PP/E005985/2, 1380869] Funding Source: researchfish
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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.
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