Relativistic magnetohydrodynamics

By J. Hernández, P. Kovtun. Journal of High Energy Physics, 2017

139 citations recorded by the source corpus.

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 Alfvén 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 Alfvén-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).

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/de26402dd882eb7bfa4019e969291e8d12fe2865

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Citations in the corpus

Fate of spin polarization in a relativistic fluid: An entropy-current analysis (2019, background): “In this counting, the spin potential ω modifies the constitutive relations even at the zeroth order and provides a preferred orientation specified by ω = (1/2)ǫuνωρσ like a “strong” magnetic field B = O(∂) in magnetohydrodynamics [14–17].”
First-order relativistic hydrodynamics is stable (2019, background): “For fluids whose constituents carry actual electric charges (when the U(1) is gauged, and Aμ is dynamical), the hydrodynamic description is provided by magneto-hydrodynamics [23].”