M S Benilov 2009 Plasma Sources Sci. Technol. 18 014005 doi:10.1088/0963-0252/18/1/014005
M S Benilov
Show affiliationsThis paper is concerned with summarizing simple analytical models of space-charge sheaths and tracing their relation to the Child–Langmuir model of an ion sheath. The topics discussed include the Child–Langmuir law and model of a collisionless ion sheath, the Mott–Gurney law and model of a collision-dominated ion sheath, the Bohm model of a collisionless ion–electron sheath, the Su–Lam–Cohen model of a collision-dominated ion–electron sheath, ion sheaths with arbitrary collisionality, high-accuracy boundary conditions for the Child–Langmuir and Mott–Gurney models of an ion sheath and the mathematical sense of Child–Langmuir type models of an ion sheath from the point of view of modern theoretical physics.
52.75.Fk Magnetohydrodynamic generators and thermionic convertors; plasma diodes
Issue 1 (February 2009)
Received 6 July 2008, in final form 11 September 2008
Published 14 November 2008
M S Benilov 2009 Plasma Sources Sci. Technol. 18 014005
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