1989
DOI: 10.1063/1.859040
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The effects of collisions on the plasma presheath

Abstract: A numerical study of the plasma presheath has been performed, extending earlier work to include the effects of general source functions, and allowing for collisions in the presheath. Analytic results for a collisionless presheath with particular source functions have been confirmed, and comparisons with a numerical study of a weakly collisional presheath have been made. The extrapolation of these calculations to high collision frequency, where they are compared to a simple analytic model, and the effects of th… Show more

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Cited by 27 publications
(23 citation statements)
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“…This temperature is also consistent with the theoretical results of Kock and Huchon for a presheath with this degree of collisionality. 27 Charge exchange collisions have approximately the same cross section as elastic collisions 26 and will tend to equilibrate the ion temperature with that of the more numerous neutral atoms. Because the neutral gas temperature is unknown, and is almost certainly not room temperature everywhere, 10 the contribution of charge exchange collisions to the ion temperature is uncertain.…”
Section: Discussionmentioning
confidence: 99%
“…This temperature is also consistent with the theoretical results of Kock and Huchon for a presheath with this degree of collisionality. 27 Charge exchange collisions have approximately the same cross section as elastic collisions 26 and will tend to equilibrate the ion temperature with that of the more numerous neutral atoms. Because the neutral gas temperature is unknown, and is almost certainly not room temperature everywhere, 10 the contribution of charge exchange collisions to the ion temperature is uncertain.…”
Section: Discussionmentioning
confidence: 99%
“…For each time step ⌬t, each cell will move "ballistically" (i.e., collisionlessly) first, then a fraction ⌬t Ӷ 1 of the par-ticles in the cell will be scattered [7][8][9]. The handling of the scattered particles will be discussed in the next section.…”
Section: A Mesh Structure For the Convective Scheme And The Ballistimentioning
confidence: 99%
“…Broadly speaking, particle methods suffer from statistical noise, whereas a solution of the BE will usually have some amount of inaccuracy due to numerical diffusion. The method we present here, which is a version of the method of characteristics which we call a "convective scheme" (CS), minimizes numerical diffusion in a variety of ways [7][8][9] but cannot eliminate it entirely. The CS was originally developed for use in plasma simulation.…”
Section: Introductionmentioning
confidence: 99%
“…If ionization is not neglected, (9) holds but is defined as in . The effect of retaining the convective derivative is to add the factor in (8). This means that the ion velocity begins to deviate from the usual expression for mobility limited when exceeds 0.3.…”
Section: Theoretical Considerations For Single Ion Presheathmentioning
confidence: 99%
“…A continuum of solutions exists for (1) and (2) depending on the relative sizes of the mean free path for collisions, the mean free path for ionization, and the chamber dimensions [5]- [8].…”
Section: Theoretical Considerations For Single Ion Presheathmentioning
confidence: 99%