Kyung Kiu Kim, Nakwoo Kim, Yun-Long Zhang
We construct an effective hydrodynamics of composite particles carrying magnetic flux, employing the holographic approach. The hydrodynamics can be obtained considering perturbation of dyonic black brane solutions in the derivative expansion. We consider two particular cases in more detail. One is the case where the fluid is governed by a Chern-Simon theory. In that case the Hall conductivity is incorporated naturally and one can see the Hall momentum flow from the energy-momentum tensor. For the other case we relax the condition which make the field theory side Chern-Simons. Then the corresponding theory turns out to be a magnetohydrodynamics with an effective external field which is different from original external field. These two hydrodynamics systems exhibit the behavior of composite particle systems. In addition, we present the most general case without any relation between the charge density and the external magnetic field.
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http://arxiv.org/abs/1307.0428
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