The application of the generalized Bohm criterion to Emmert’s solution of the warm ion collisionless plasma equation

Emmert e t a l. [Phys. Fluids 2 3, 803 (1980)] have modeled the flow of a one‐dimensional collisionless plasma to a material wall by formulating and solving the warm‐ion plasma equation. In contrast to the result of the cold‐ion plasma equation it was found that the electric field at the plasma–shea...

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Published in:The Physics of fluids (1958) 1987-07, Vol.30 (7), p.2264-2265
Main Author: Bissell, R. C.
Format: Article
Language:English
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Exact sciences and technology
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Plasma dynamics and flow
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description Emmert e t a l. [Phys. Fluids 2 3, 803 (1980)] have modeled the flow of a one‐dimensional collisionless plasma to a material wall by formulating and solving the warm‐ion plasma equation. In contrast to the result of the cold‐ion plasma equation it was found that the electric field at the plasma–sheath boundary was finite. It is first shown that Emmert’s solution satisfies the generalized Bohm criterion, and is thus a valid solution, before discussing the cause of the difference in the results of the two models in calculating the boundary electric field.
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subjects Exact sciences and technology
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Plasma dynamics and flow
title The application of the generalized Bohm criterion to Emmert’s solution of the warm ion collisionless plasma equation
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