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Advances in High Energy Physics
Volume 2014, Article ID 915312, 16 pages
http://dx.doi.org/10.1155/2014/915312
Research Article

Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale

1Department of Physics, Shanghai University, Shanghai 200444, China
2State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

Received 14 May 2014; Revised 26 June 2014; Accepted 11 July 2014; Published 10 August 2014

Academic Editor: George Siopsis

Copyright © 2014 Xian-Hui Ge et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We investigate the relations between black hole thermodynamics and holographic transport coefficients in this paper. The formulae for DC conductivity and diffusion coefficient are verified for electrically single-charged black holes. We examine the correctness of the proposed expressions by taking charged dilatonic and single-charged STU black holes as two concrete examples, and compute the flows of conductivity and diffusion coefficient by solving the linear order perturbation equations. We then check the consistence by evaluating the Brown-York tensor at a finite radial position. Finally, we find that the retarded Green functions for the shear modes can be expressed easily in terms of black hole thermodynamic quantities and transport coefficients.