• DocumentCode
    1120982
  • 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
  • Volume
    22
  • Issue
    3
  • fYear
    1994
  • fDate
    6/1/1994 12:00:00 AM
  • Firstpage
    275
  • Lastpage
    277
  • 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;
  • fLanguage
    English
  • Journal_Title
    Plasma Science, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0093-3813
  • Type

    jour

  • DOI
    10.1109/27.297878
  • Filename
    297878
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1120982