The Child–Langmuir law and analytical theory of collisionless to collision-dominated sheaths

Benilov, M. S.

http://hdl.handle.net/10400.13/4530

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Authors

Benilov, M. S.

Abstract(s)

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.

Keywords

Child–Langmuir law Analytical theory of collisionless Theory of collisionless . Faculdade de Ciências Extas e da Engenharia

URI

http://hdl.handle.net/10400.13/4530

Citation

Benilov, M. S. (2009). The Child Langmuir law and analytical theory of collisionless to collision-dominated sheaths. Plasma Sources Science Technology, 18(1), 014005. DOI: 10.1088/0963-0252/18/1/014005