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Collector Theory for Ions with Maxwellian and Drift Velocities

Collector Theory for Ions with Maxwellian and Drift Velocities For a gaseous discharge in which the ions have a drift velocity superimposed on a Maxwellian distribution, the Mott-Smith and Langmuir collector theory deals only with collectors having a high ratio of sheath to collector diameters. The present paper removes this restriction, but points out that except when there is negligible sheath distortion due to low drift velocity or to low collector potential the theory gives only approximate results. It is also shown that for ratios of drift to random current density as low as seven, the space potential is not indicated by a break on the semi-logarithmic plot of the collector characteristic. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

Collector Theory for Ions with Maxwellian and Drift Velocities

Physical Review , Volume 52 (3) – Aug 1, 1937
4 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 1937 The American Physical Society
ISSN
1536-6065
DOI
10.1103/PhysRev.52.235
Publisher site
See Article on Publisher Site

Abstract

For a gaseous discharge in which the ions have a drift velocity superimposed on a Maxwellian distribution, the Mott-Smith and Langmuir collector theory deals only with collectors having a high ratio of sheath to collector diameters. The present paper removes this restriction, but points out that except when there is negligible sheath distortion due to low drift velocity or to low collector potential the theory gives only approximate results. It is also shown that for ratios of drift to random current density as low as seven, the space potential is not indicated by a break on the semi-logarithmic plot of the collector characteristic.

Journal

Physical ReviewAmerican Physical Society (APS)

Published: Aug 1, 1937

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