Hydrodynamics from charged black branes

By Nabamita Banerjee, J. Bhattacharya, Sayantani Bhattacharyya, Suvankar Dutta, R. Loganayagam, Piotr Surówka. 2008

470 citations recorded by the source corpus.

We extend the recent work on fluid-gravity correspondence to charged black-branes by determining the metric duals to arbitrary charged fluid configuration up to second order in the boundary derivative expansion. We also derive the energy-momentum tensor and the charge current for these configurations up to second order in the boundary derivative expansion. We find a new term in the charge current when there is a bulk Chern-Simons interaction thus resolving an earlier discrepancy between thermodynamics of charged rotating black holes and boundary hydrodynamics. We have also confirmed that all our expressions are covariant under boundary Weyl-transformations as expected.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0f3e3a0a8591805bb30c98e03d400b89cec12c6e

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In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

A theory of first order dissipative superfluid dynamics (2011, methodology): “n we set g= 1. Then, all the integrals in (6.48) can be carried out explicitly. We ﬁnd that the resulting expressions exactly match the zero superﬂuid density values of ˜κω, ˜κB, σω and σB studied in [22, 23, 20], implying that these coeﬃcients are continuous across the phase transition. 7. Discussi”
Notes on Anomaly Induced Transport (2016, background): “Indeed holography has played a major role in the modern area of anomalous transport and many subtleties arising when dealing with anomalies are most easily understood using the holographic framework [19, 20, 21, 22, 23, 24].”
Holographic Hydrodynamics with a Chemical Potential (2009, background): “However, the two derivative coupling κ is known to play a role when rotation is introduced [ 51 ].”
Gravity Dual of Spatially Modulated Phase (2009, background): “bulk Chern-Simons terms on hydrodynamics of the dual field theories have been studied in [26, 27, 28, 29].”
Holographic Quantum Matter (2016, background): “For original papers see [67; 91; 246], and for a review see [400].”
Relativistic hydrodynamics with general anomalous charges (2010, background): “The appearance of the vorticity term ω in the anomalous hydrodynamic current has been first observed in the dual gravitational description of relativistic conformal hydrodynamics [3, 4].”
Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model (2009, background): “A.1 Chirally broken phase 27 A.2 Chirally symmetric phase 30”
Holographic model of superfluidity (2008, background): “The approach has been extended to R-charged black holes, dual to fluids with chemical potentials [11, 12].”
Fluid dynamics of R-charged black holes (2008, background): “ns to enumerate them. 3In the published version of our paper there was a typographical error in the overall sign of ωµν. This led to an apparent discrepancy between our results and those of reference [26], mentioned in version 2 of that paper. We thank the authors of [26] for pointing out this misma”