Summary
An exact solution of the Vlasov equations is found which describes a layer of plasma confined between two regions of oppositely directed magnetic field. The electrons and ions have Maxwellian distributions on the plane where the magnetic field vanishes. In the coordinate system, in which the electron and ion drift velocities are equal in magnitude but opposite in direction, the electric field vanishes and the electron and ion densities are everywhere equal.
Riassunto
Si trova una soluzione esatta della equazione di Vlasov, che descrive uno strato di plasma confinato fra due regioni del campo magnetico le cui direzioni sono opposte. Gli elettroni e gli ioni hanno distribuzioni Maxwelliane sul piano in cui il campo magnetico si annulla. Nel sistema di coordinate, in cui le velocità di movimento degli elettroni e degli ioni sono uguali in grandezza, ma opposte in direzione, il campo elettrico si annulla e le densità degli ioni e degli elettroni sono dovunque uguali.
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Literatur
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The work on which this paper is based was done while the author was a member of the Radiation Division, Naval Research Laboratory, Washington, D.C. The paper was written at the Laboratorio Gas Ionizzati, Frascati, Italy, where the author spent the summer of 1961.
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Harris, E.G. On a plasma sheath separating regions of oppositely directed magnetic field. Nuovo Cim 23, 115–121 (1962). https://doi.org/10.1007/BF02733547
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DOI: https://doi.org/10.1007/BF02733547