Xiaojian Bai, Ya-Peng Hu, Bum-Hoon Lee, Yun-Long Zhang
The holographic charged fluid with anomalous current in Einstein-Maxwell gravity has been generalized from the infinite boundary to the finite cutoff surface by using the gravity/fluid correspondence. After perturbing the boosted Reissner-Nordstrom (RN)-AdS black brane solution of the Einstein-Maxwell gravity with the Chern-Simons term, we obtain the first order perturbative gravitational and Maxwell solutions, and calculate the stress tensor and charged current of the dual fluid at finite cutoff surfaces. We find that there are nine parameters related to the boundary and gauge conditions one needs to fix before further extracting the information of transport coefficients of the dual fluid. For simplicity, we adopt the Dirichlet boundary condition and Landau gauge to fix these parameters, and obtain the dependence of transport coefficients in the dual stress tensor and charged current on the arbitrary radical cutoff $r_c$. In addition, we also find that there is no bulk viscosity in this case.
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http://arxiv.org/abs/1207.5309
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