In an equilibrium state of a very low- plasma, the plasmas pressure force density P is ignorably
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In an equilibrium state of a very low-β plasma, the plasma’s pressure force density −∇P is ignorably small, and so the Lorentz force density j × B must vanish [Eq. (19.10)]. Such a plasma is said to be “force-free.” As a result, the current density is parallel to the magnetic field, so ∇ × B = αB. Show that α must be constant along a field line, and that if the field lines eventually travel everywhere, then α must be constant everywhere.
Equation 19.10.
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To show that must be constant along a field line and constant everywhere if the field lines travel everywhere we need to analyze the forcefree equilib...View the full answer
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Related Book For 
Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
ISBN: 9780691159027
1st Edition
Authors: Kip S. Thorne, Roger D. Blandford
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