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Sound modes in holographic hydrodynamics for charged AdS black hole
Authors:Yoshinori Matsuo  Sang-Jin Sin  Shingo Takeuchi  Takuya Tsukioka  Chul-Moon Yoo  
Institution:aAsia Pacific Center for Theoretical Physics, Pohang, Gyeongbuk 790-784, Republic of Korea;bDepartment of Physics, Hanyang University, Seoul 133-791, Republic of Korea
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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