Title :
Nonexistence of spatially bounded force-free magnetic fields: a scaling point of view
Author :
Brownstein, K.R.
Author_Institution :
Dept. of Phys. & Astron., Maine Univ., Orono, ME, USA
fDate :
6/1/1994 12:00:00 AM
Abstract :
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
Keywords :
differential equations; force; magnetic fields; conduction current; differential equation; displacement current; magnetic force; non-magnetic stresses; nonexistence proof; scaling properties; spatially bounded force-free magnetic fields; vector differential equation; Astronomy; Astrophysics; Current density; Differential equations; Magnetic confinement; Magnetic fields; Magnetic forces; Nuclear and plasma sciences; Physics; Tensile stress;
Journal_Title :
Plasma Science, IEEE Transactions on
