Zero-viscosity limit in a holographic Gauss–Bonnet liquid
201415 pages
Published in:
- Theor.Math.Phys. 182 (2015) 1, 61-73,
- Teor.Mat.Fiz. 182 (2014) 1, 76-90
- Published: 2015
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Abstract: (Springer)
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.- gauge-gravitational duality
- Gauss-Bonnet gravity
- hydrodynamics
- transport coefficient
- viscosity
- gauge–gravitational duality
- Gauss–Bonnet gravity
- liquid: quantum
- entropy: production
- duality: holography
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