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

Abstract

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.

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

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Cited by in corpus (22)

• Lectures on holographic methods for condensed matter physics
• Lectures on Holographic Superfluidity and Superconductivity
• Magnetic Brane Solutions in AdS
• Holographic Hydrodynamics with a Chemical Potential
• Charged Magnetic Brane Solutions in AdS_5 and the fate of the third law of thermodynamics
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• Nonlinear Magnetohydrodynamics from Gravity
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• Composite Fermion Metals from Dyon Black Holes and S-Duality
• The Fate of the Sound and Diffusion in Holographic Magnetic Field
• Collective Excitations of Holographic Quantum Liquids in a Magnetic Field
• Relativistic Conformal Magneto-Hydrodynamics from Holography
• On pseudorapidity distribution and speed of sound in high energy heavy ion collisions based on a new revised Landau hydrodynamic model
• Collective modes of polarizable holographic media in magnetic fields
• Thermodynamics of Holographic Defects
• S-duality in AdS/CFT magnetohydrodynamics
• Incoherent hydrodynamics of density waves in magnetic fields
• Composite-particle hydrodynamics from dyonic black branes
• Searching for minimum in dependence of squared speed-of-sound on collision energy
• On the Square Speed of Sound in High-Energy Collisions: Range of Values and How to Understand It
• On pseudorapidity distribution in p-Pb and Xe-Xe collisions at high energy based on the three-source Landau hydrodynamic model