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A strongly coupled anisotropic fluid from dilaton driven holography

Jain, Sachin and Kundu, Nilay and Sen, Kallol and Sinha, Aninda and Trivedi, Sandip P (2015) A strongly coupled anisotropic fluid from dilaton driven holography. In: JOURNAL OF HIGH ENERGY PHYSICS (1). pp. 1-76.

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Official URL: http://dx.doi.org/10.1007/JHEP01(2015)005

Abstract

We consider a system consisting of 5 dimensional gravity with a negative cosmological constant coupled to a massless scalar, the dilaton. We construct a black brane solution which arises when the dilaton satisfies linearly varying boundary conditions in the asymptotically AdS(5) region. The geometry of this black brane breaks rotational symmetry while preserving translational invariance and corresponds to an anisotropic phase of the system. Close to extremality, where the anisotropy is big compared to the temperature, some components of the viscosity tensor become parametrically small compared to the entropy density. We study the quasi normal modes in considerable detail and find no instability close to extremality. We also obtain the equations for fluid mechanics for an anisotropic driven system in general, working upto first order in the derivative expansion for the stress tensor, and identify additional transport coefficients which appear in the constitutive relation. For the fluid of interest we find that the parametrically small viscosity can result in a very small force of friction, when the fluid is enclosed between appropriately oriented parallel plates moving with a relative velocity.

Item Type: Journal Article
Additional Information: Copyright for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 14 Feb 2015 13:33
Last Modified: 14 Feb 2015 13:33
URI: http://eprints.iisc.ac.in/id/eprint/50804

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