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The Child–Langmuir asymptotics applied to a bipolar diode

✍ Scribed by Florian Méhats

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
239 KB
Volume
21
Category
Article
ISSN
0170-4214

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✦ Synopsis

We apply the Child-Langmuir asymptotics of the Vlasov-Poisson system to the case of a bipolar diode, i.e. a vacuum diode where two species of particles of opposite electric charge are flowing. This leads to a simplified model which, if at least one of the two injected currents is not too large, has a unique solution. Moreover, in that case, the currents flowing inside the diode are limited by the so-called bipolar Child-Langmuir currents. In the case of large currents, other solutions may appear, and the formation of virtual electrodes may occur inside the diode.

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