Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole
Yoshinori Matsuo, Sang-Jin Sin, Shingo Takeuchi, Takuya Tsukioka and, Chul-Moon Yoo
TL;DR
This paper extends the analysis of holographic hydrodynamics in charged AdS black holes to scalar sound modes, calculating key transport properties and confirming the Einstein relation.
Contribution
It introduces a detailed hydrodynamic analysis for scalar sound modes in charged AdS black holes, including decoupling and transport coefficient calculations.
Findings
Sound velocity and charge susceptibility are computed.
The Einstein relation among conductivity, diffusion, and susceptibility is verified.
Hydrodynamic behavior of scalar modes in charged AdS black holes is characterized.
Abstract
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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