Holographic Hydrodynamics with a Chemical Potential

Details Holographic Hydrodynamics with a Chemical Potential Holographic Hydrodynamics with a Chemical Potential

2009-03-16

arxiv.org/abs/0903.2834v2

JHEP 0906:006,2009

Physics

High Energy Physics

High Energy Physics - Theory

v2: comparison to supergravity lagrangian added, references added, typos fixed

Scientific paper

We consider five-dimensional gravity coupled to a negative cosmological constant and a single U(1) gauge field, including a general set of four-derivative interactions. In this framework, we construct charged planar AdS black hole solutions perturbatively and consider the thermal and hydrodynamic properties of the plasma in the dual CFT. In particular, we calculate the ratio of shear viscosity to entropy density and argue that the violation of the KSS bound is enhanced in the presence of a chemical potential. We also compute the electrical conductivity and comment on various conjectured bounds related to this coefficient.

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