Abstract
Modeling astrophysical flows in the framework of classical magnetohydrodynamics often encounters significant difficulties due to high (up to relativistic) Alfvén wave velocities. Such situations can arise in modeling the magnetosphere of planets and stars and accretion flows in polars, intermediate polars, and near-neutron stars. In a strongly magnetized plasma, wave turbulence can develop, which can significantly affect the energy balance and the forces determining the plasma dynamics. In this paper, a closed system of equations is obtained for modified magnetohydrodynamics with wave turbulence for a wide range of magnetic fields and turbulence energies. The turbulent flow is described as the sum of the mean flow and perturbations induced by relativistic Alfvén waves. Expressions are derived for the turbulence-induced body force, viscosity, and dissipative heating. An analysis of equations in certain limit cases is performed. It is shown that the proposed approach can be used for modeling a broad class of astrophysical plasma flows.
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