Holographic thermal DC response in the hydrodynamic limit

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Title: Holographic thermal DC response in the hydrodynamic limit
Authors: Banks, E
Donos, A
Gauntlett, JP
Griffin, T
Melgar, L
Item Type: Journal Article
Abstract: We consider black hole solutions of Einstein gravity that describe deformations of CFTs at finite temperature in which spatial translations have been broken explicitly. We focus on deformations that are periodic in the non-compact spatial directions, which effectively corresponds to considering the CFT on a spatial torus with a non-trivial metric. We apply a DC thermal gradient and show that in a hydrodynamic limit the linearised, local thermal currents can be determined by solving linearised, forced Navier–Stokes equations for an incompressible fluid on the torus. We also show how sub-leading corrections to the thermal current can be calculated as well as showing how the full stress tensor response that is generated by the DC source can be obtained. We also compare our results with the fluid-gravity approach.
Issue Date: 17-Jan-2017
Date of Acceptance: 6-Dec-2016
ISSN: 1361-6382
Publisher: IOP Publishing
Journal / Book Title: Classical and Quantum Gravity
Volume: 34
Issue: 4
Copyright Statement: © 2017 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication in Classical and Quantum Gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The definitive publisher authenticated version is available online at
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Science and Technology Facilities Council (STFC)
Commission of the European Communities
Funder's Grant Number: EP/K034456/1
Keywords: Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Multidisciplinary
Physics, Particles & Fields
AdS/CFT correspondence
fluid-gravity correspondence
applied holography
thermal transport
Nuclear & Particles Physics
02 Physical Sciences
01 Mathematical Sciences
Publication Status: Published
Article Number: ARTN 045001
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences

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