The Fate of the Sound and Diffusion in Holographic Magnetic Field

Abstract

It was shown in arXiv:0810.4094 [hep-th] that in the presence of the magnetic field the sound waves in (2+1) dimensional plasma disappear and are replaces by a diffusive mode. Similarly, the shear and charge diffusion fluctuations form a subdiffusive mode. However, since the limit of small magnetic field does not commute with the hydrodynamic limit it is not obvious whether or not these modes are stable under higher order corrections. Using AdS/CFT correspondence we show that in the case of M2-brane plasma these modes do exist as we find the corresponding supergravity solutions. This allowed us to compute the conductivity and the shear viscosity to all orders in magnetic field. We find that the viscosity to entropy ratio saturates the Kovtun-Son-Starinets bound. This extends the universality property of the shear viscosity to the case of the strongly coupled plasma in external magnetic field.

23 pages; minor corrections, references added

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Cited by in corpus (21)

• Lectures on holographic methods for condensed matter physics
• Lectures on Holographic Superfluidity and Superconductivity
• Beyond eta/s = 1/4pi
• Holographic Hydrodynamics with a Chemical Potential
• The Shear Viscosity to Entropy Ratio: A Status Report
• Holographic Axion Model: a simple gravitational tool for quantum matter
• Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
• Viscosity Bound and Causality in Superfluid Plasma
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• Quasi-normal modes of dyonic black holes and magneto-hydrodynamics
• New Transport Properties of Anisotropic Holographic Superfluids
• Composite Fermion Metals from Dyon Black Holes and S-Duality
• Non-relativistic D3-brane in the presence of higher derivative corrections
• Relativistic Conformal Magneto-Hydrodynamics from Holography
• Holographic hydrodynamics: models and methods
• S-duality in AdS/CFT magnetohydrodynamics
• Incoherent hydrodynamics of density waves in magnetic fields
• Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field
• Composite-particle hydrodynamics from dyonic black branes
• Hysteresis in $\eta /s$ for QFTs dual to spherical black holes
• holographic superconductor in AdS3 spacetime