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arXiv · 1604.07765

Fluid/gravity correspondence: Second order transport coefficients in compactified D4-branes

Chao Wu·Yidian Chen·Mei Huang
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Abstract

We develop the boundary derivative expansion (BDE) formalism of fluid/gravity correspondence to nonconformal version through the compactified, near-extremal black D4-brane. We offer an explicit calculation of 9 second order transport coefficients, i.e., the $\tau_\pi,~\tau_\pi^*,~\tau_\Pi,~\lambda_{1,2,3}$ and $\xi_{1,2,3}$ for the strongly coupled, uncharged and nonconformal relativistic fluid which is the holographic dual of compactified, near extremal black D4-brane. We also show that the nonconformal fluid considered in this work is free of causal problem and admits the Haack-Yarom relation $4\lambda_1+\lambda_2=2\eta\tau_\pi$.

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Chao Wu, Yidian Chen, Mei Huang. 2016-04-26. Fluid/gravity correspondence: Second order transport coefficients in compactified D4-branes. https://doi.org/10.1007/jhep01(2017)118

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