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Hydrodynamic Hamilton theory for discussing the space charge (Langmuir–Child Law) at high density particle currents between poles

Published online by Cambridge University Press:  09 March 2009

Cord Passow
Cord Passow
Affiliation:
Institut für Kernphysik, 7500 Karlsruhe, Postfach 3640, Federal Republic of Germany
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Abstract

In order to calculate more generally the space-charge limited current between two points of different voltage, modern differential geometrical methods are applied. This problem was first treated by Child (1911) and later by Langmuir (1913). It is possible, for example, to account for effects due to more than one charge component as well as the influence of a neutral background gas (which causes ionization and scattering of charge carriers). A systematic derivation of the self-consistent representation based on a Hamilton theory for density functions is given, and solution methods are discussed. The concept is designed to investigate ion and electron diodes with very intense currents, but it may also be useful for treating space charge problems in a stationary plasma.

Type
Research Article
Information
Laser and Particle Beams , Volume 6 , Issue 3 , August 1988 , pp. 579 - 586
Copyright
Copyright © Cambridge University Press 1988

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