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Navier-Stokes Equations on Black Hole Horizons and DC Thermoelectric Conductivity

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arxiv 1506.01360 v4 pith:U3LHLYLD submitted 2015-06-03 hep-th

classification hep-th
keywords blackconductivityequationsholenavier-stokesthermoelectricchargedcontext
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Within the context of the AdS/CFT correspondence we show that the DC thermoelectric conductivity can be obtained by solving the linearised, time-independent and forced Navier-Stokes equations on the black hole horizon for an incompressible and charged fluid.

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Cited by 1 Pith paper

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  1. AC charge transport in holographic Horndeski gravity

    hep-th 2019-08 conditional novelty 5.0 of 10

    A holographic Horndeski model is found to exhibit a temperature-driven metal-semiconductor crossover, with AC conductivity that fits the Drude formula in the slow-relaxation regime.

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