Velocity fields which preserve cylindrically symmetric force-free magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Force-Free Magnetic Fields, Magnetic Field Configurations, Magnetohydrodynamic Flow, Velocity Distribution, Astrophysics, Beltrami Flow, Controlled Fusion, Nuclear Fusion

Scientific paper

Forms of velocity fields associated with different force-free magnetic field configurations are studied analytically. Equations relating velocity fields which preserve force-free magnetic fields to a constant scalar function, alpha, are derived, including explicit expressions for the velocity fields preserving cylindrically symmetric force-free magnetic fields which are significant in astrophysics and controlled thermonuclear fusion. The equations are compared with those describing the hydrodynamics of Beltrami flows.

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