Collisionless tearing in a field-reversed sheet pinch assuming nonparallel propagation

Details Collisionless tearing in a field-reversed sheet pinch assuming nonparallel propagation Collisionless tearing in a field-reversed sheet pinch assuming nonparallel propagation

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jgr....90.1458q&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 90, Feb. 1, 1985, p. 1458-1468. Research supported by the U.S. Department

Physics

Plasma Physics

4

Collisionless Plasmas, Magnetic Field Configurations, Magnetohydrodynamic Stability, Plasma Currents, Reverse Field Pinch, Tearing Modes (Plasmas), Adiabatic Conditions, Mathematical Models, Plasma Physics

Scientific paper

The problem of collisionless linear tearing is examined assuming a wave vector with a component normal to the equilibrium field. The geometry is defined and the general form of the linear dispersion equation is calculated. The linear theory results when k is parallel to B are reviewed, and Ampere's law is calculated for the external adiabatic region when k times B does not equal zero, using two-fluid theory. A solution is obtained for the approximate form of the perturbed currents and vector potential assuming quasi-parallel k. The resonant current contributions within the singular layer are calculated, obtaining an estimate of the dispersion equation. The form of the adiabatic currents within the singular layer is calculated, showing that an x-z current system persists even in the limit k perpendicular to B goes to zero. Finally, the perturbed vector potential solutions across the singular layer are matched to obtain the shape of the complete eigenfunction.

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