Relativistic magnetohydrodynamics
arXiv:1703.08757 · doi:10.1007/JHEP05(2017)001
Abstract
We present the equations of relativistic hydrodynamics coupled to dynamical electromagnetic fields, including the effects of polarization, electric fields, and the derivative expansion. We enumerate the transport coefficients at leading order in derivatives, including electrical conductivities, viscosities, and thermodynamic coefficients. We find the constraints on transport coefficients due to the positivity of entropy production, and derive the corresponding Kubo formulas. For the neutral state in a magnetic field, small fluctuations include Alfven waves, magnetosonic waves, and the dissipative modes. For the state with a non-zero dynamical charge density in a magnetic field, plasma oscillations gap out all propagating modes, except for Alfven-like waves with a quadratic dispersion relation. We relate the transport coefficients in the "conventional" magnetohydrodynamics (formulated using Maxwell's equations in matter) to those in the "dual" version of magnetohydrodynamics (formulated using the conserved magnetic flux).
42 pages
References in corpus (6)
- Nonlinear Fluid Dynamics from Gravity
- Relativistic viscous hydrodynamics, conformal invariance, and holography
- Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
- Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
- Entropy Current from Partition Function: One Example
- Dissipative String Fluids
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