Relativistic Conformal Magneto-Hydrodynamics from Holography
arXiv:0902.3170 · doi:10.1016/j.physletb.2009.06.003
Abstract
We use the AdS/CFT correspondence to study first-order relativistic viscous magneto-hydrodynamics of (2+1) dimensional conformal magnetic fluids. It is shown that the first order magneto-hydrodynamics constructed following Landau and Lifshitz from the positivity of the entropy production is inconsistent. We propose additional contributions to the entropy motivated dissipative current and, correspondingly, new dissipative transport coefficients. We use the strongly coupled M2-brane plasma in external magnetic field to show that the new magneto-hydrodynamics leads to self-consistent results in the shear and sound wave channels.
11 pages
References in corpus (8)
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Viscosity, Black Holes, and Quantum Field Theory
- Hall conductivity from dyonic black holes
- Black holes and universality classes of critical points
- Nonlinear Magnetohydrodynamics from Gravity
- The Fate of the Sound and Diffusion in Holographic Magnetic Field
- Sound Waves in (2+1) Dimensional Holographic Magnetic Fluids
Cited by in corpus (13)
- Lectures on holographic methods for condensed matter physics
- Lectures on Holographic Superfluidity and Superconductivity
- Holographic Hydrodynamics with a Chemical Potential
- Transport Coefficients at Zero Temperature from Extremal Black Holes
- Bound of diffusion constants from pole-skipping points: spontaneous symmetry breaking and magnetic field
- The breakdown of magneto-hydrodynamics near AdS 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
- Collective Excitations of Holographic Quantum Liquids in a Magnetic Field
- Moduli and electromagnetic black brane holography
- Collective modes of polarizable holographic media in magnetic fields
- Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field
- Charged scalar quasi-normal modes for higher-dimensional Born-Infeld dilatonic black holes with Lifshitz scaling