Theory of ion-matrix-sheath dynamics
The time evolution of a one-dimensional, uni-polar ion sheath (an “ion matrix sheath”) is investigated. The analytical solutions for the ion-fluid and Poisson’s equations are found for an arbitrary time dependence of the wall-applied negative potential. In the case that the wall potential is large a...
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Published in | AIP advances Vol. 8; no. 1; pp. 015202 - 015202-13 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Melville
American Institute of Physics
01.01.2018
AIP Publishing LLC |
Subjects | |
Online Access | Get full text |
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Summary: | The time evolution of a one-dimensional, uni-polar ion sheath (an “ion matrix sheath”) is
investigated. The analytical solutions for the ion-fluid and Poisson’s equations are found
for an arbitrary time dependence of the wall-applied negative potential. In the case that
the wall potential is large and remains constant after its ramp-up application, the
explicit time dependencies of the sheath’s parameters during the initial stage of the
process are given. The characteristic rate of approaching the stationary state, satisfying
the Child–Langmuir law, is determined. |
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ISSN: | 2158-3226 2158-3226 |
DOI: | 10.1063/1.5017654 |