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Nonexistence of spatially bounded force-free magnetic fields: a scaling point of view

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1 Author(s)
K. R. Brownstein ; Dept. of Phys. & Astron., Maine Univ., Orono, ME, USA

Force-free magnetic fields obey the vector differential equation ∇xB=αB. In the absence of any displacement current, the magnetic force on the conduction current is then zero. A previous proof of the nonexistence of spatially bounded force-free fields is simplified and is shown to be purely mathematical in nature, with no need to introduce non-magnetic stresses. A new nonexistence proof, based only on the scaling properties of the differential equation, is presented

Published in:

IEEE Transactions on Plasma Science  (Volume:22 ,  Issue: 3 )