Self-similar resistive decay of a current sheet in a compressible plasma

Details Self-similar resistive decay of a current sheet in a compressible plasma Self-similar resistive decay of a current sheet in a compressible plasma

Oct 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jplph..22..289k&link_type=abstract

Journal of Plasma Physics, vol. 22, Oct. 1979, p. 289-302.

Physics

Plasma Physics

3

Current Sheets, Electrical Resistivity, Plasma Layers, Solar Flares, Compressibility, Differential Equations, Magnetohydrodynamic Flow, Plasma Conductivity, Plasma Density, Plasma Temperature

Scientific paper

Self-similar solutions of the magnetogasdynamic equations which describe the resistive decay of a plane current sheet in a compressible plasma are derived. It was shown that the resistive decay must involve plasma motion, only convective effects are included in the analysis, and the electrical and thermal conductivities are taken to be constant. The ordinary differential equations from the similarity hypothesis are solved numerically, yielding curves of the plasma density, temperature, and velocity, and of the magnetic and induced electric fields as functions of the similarity variable. The plasma velocity at large distances from the current sheet is always directed toward it, but when the ratio of thermal to resistive diffusivity is small, plasma flow away from the center of the sheet occurs in two narrow regions, one on each side of the center. As a result of the reversals in the flow direction, the density displays a relative minimum at the center of the sheet with two outward traveling maxima adjacent to it.

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