Journal
PLASMA SOURCES SCIENCE & TECHNOLOGY
Volume 18, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0963-0252/18/1/014005
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Funding
- FEDER [PPCDT/FIS/60526/2004, POCI 2010]
- Centro de Ciencias Matematicas of FCT [POCTI-219]
- FEDER
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This 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.
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