Sound Waves in (2+1) Dimensional Holographic Magnetic Fluids

Details Sound Waves in (2+1) Dimensional Holographic Magnetic Fluids Sound Waves in (2+1) Dimensional Holographic Magnetic Fluids

2008-10-22

arxiv.org/abs/0810.4094v4

JHEP 12 (2008) 090

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, LaTeX; minor corrections, references added; an error in the boundary conditions fixed, a slight change in the result

Scientific paper

10.1088/1126-6708/2008/12/090

We use the AdS/CFT correspondence to study propagation of sound waves in strongly coupled (2+1) dimensional conformal magnetic fluids. Our computation provides a nontrivial consistency check of the viscous magneto-hydrodynamics of Hartnoll-Kovtun-Muller-Sachdev to leading order in the external field. Depending on the behavior of the magnetic field in the hydrodynamic limit, we show that it can lead to further attenuation of sound waves in the (2+1) dimensional conformal plasma, or reduce the speed of sound. We present both field theory and dual supergravity descriptions of these phenomena. While to the leading order in momenta the dispersion of the sound waves obtained from the dual supergravity description agrees with the one predicted from field theory, we find a discrepancy at higher order. This suggests that further corrections to HKMS magneto-hydrodynamics are necessary.

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