A note on adiabatic solutions of the one-dimensional current sheet problem

Details A note on adiabatic solutions of the one-dimensional current sheet problem A note on adiabatic solutions of the one-dimensional current sheet problem

Mar 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979p%26ss...27..265c&link_type=abstract

Planetary and Space Science, vol. 27, Mar. 1979, p. 265-271.

Physics

4

Adiabatic Conditions, Current Sheets, Geomagnetism, Magnetically Trapped Particles, Atmospheric Models, Maxwell-Boltzmann Density Function, Particle Motion, Pitch (Inclination)

Scientific paper

It has recently been shown that adiabatic solutions of the one-dimensional current sheet problem exist provided that magnetically trapped particles are included in the model together with the current-carrying untrapped 'beam' particles. It is shown here that a formulation of the problem in terms of particle velocity and pitch angle is advantageous, and some general properties of the solutions are derived. In particular it is shown that there is, in general, no discontinuity in the value of the particle distribution function f across the boundary in velocity space between 'beam' and trapped particles, but that there will be a discontinuity in the gradients of f. An example is given in which the beam population is of bi-Maxwellian form at the outer boundary of the current sheet.

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