Author:
BENILOV M. S.,FRANKLIN R. N.
Abstract
The method of matched asymptotic approximations is used to examine
an ordering of the physical quantities in a collisional plasma–collisional sheath
model that has not been previously explored, namely in the constant ion mean
free path model with high electric field. The asymptotic theory for a collision-
dominated space-charge sheath at a negative surface is developed for the case when
the ions interact with neutral particles as rigid spheres while the electric field is high
both in the sheath and in the quasineutral plasma. The ion mobility is inversely
proportional to the square root of the electric field in such a case. The ratio λD/L
of the Debye length at the center of the quasineutral plasma to a characteristic
dimension of the plasma is considered as a small asymptotic parameter. The general
structure of the asymptotic solution obtained is similar to that in the case of low
electric field (or in the framework of the model of constant collision frequency),
considered by previous workers; however, the scalings are different. In particular,
the thickness of the sheath is found to have the order λ4/5DL1/5, while the respective
order in the case of low electric field is λ2/3DL1/3.
Publisher
Cambridge University Press (CUP)
Cited by
13 articles.
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