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2017

Relativistic magnetohydrodynamics

Hernandez, Juan, Kovtun, Pavel

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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.