Charged-particle motion in electromagnetic fields having at least one ignorable spatial coordinate

Frank C. Jones, J. Randy Jokipii, Matthew G. Baring

Research output: Contribution to journalArticle

97 Scopus citations

Abstract

We give a rigorous derivation of a theorem showing that charged particles in an arbitrary electromagnetic field with at least one ignorable spatial coordinate remain forever tied to a given magnetic field line. Such a situation contrasts with the significant motions normal to the magnetic field that are expected in most real three-dimensional systems. It is pointed out that while the significance of the theorem has not been widely appreciated, it has important consequences for a number of problems and is of particular relevance for the acceleration of cosmic rays by shocks.

Original languageEnglish (US)
Pages (from-to)238-243
Number of pages6
JournalAstrophysical Journal
Volume509
Issue number1 PART I
DOIs
StatePublished - Jan 1 1998

Keywords

  • Acceleration of particles
  • Cosmic rays
  • MHD
  • Methods: analytical

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science

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