Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole

Details Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole

2009-01-06

arxiv.org/abs/0901.0610v2

Nucl.Phys.B820:593-619,2009

Physics

High Energy Physics

High Energy Physics - Theory

1+33 pages, 4 figures, LaTeX; references added, improved section 4.4

Scientific paper

10.1016/j.nuclphysb.2009.02.026

In the previous paper we studied the transport coefficients of Quark-Gluon Plasma in finite temperature and finite density in vector and tensor modes. In this paper, we extend it to the scalar modes. We work out the decoupling problem and hydrodynamic analysis for the sound mode in charged AdS black hole and calculate the sound velocity, the charge susceptibility and the electrical conductivity. We find that Einstein relation among the conductivity, the diffusion constant and the susceptibility holds exactly.

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