2007
DOI: 10.1103/physrevlett.99.155004
|View full text |Cite
|
Sign up to set email alerts
|

Exact Solution for the Generalized Bohm Criterion in a Two-Ion-Species Plasma

Abstract: For a weakly collisional two-ion species plasma, it is shown that the minimum phase velocity of ion acoustic waves (IAWs) at the sheath-presheath boundary is equal to twice the phase velocity in the bulk plasma. This condition provides a theoretical basis for the experimental results that each ion species leaves the plasma with a drift velocity equal to the IAW phase velocity in the bulk plasma [D. Lee et al., Appl. Phys. Lett. 91, 041505 (2007)10.1063/1.2760149]. It is shown that this result is a consequence … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
49
0

Year Published

2008
2008
2019
2019

Publication Types

Select...
9

Relationship

1
8

Authors

Journals

citations
Cited by 41 publications
(50 citation statements)
references
References 25 publications
1
49
0
Order By: Relevance
“…Ion acceleration at the plasma boundary is established by a weak electric field in the presheath, 1,2 which accelerates ions to the Bohm velocity at the sheath edge, 3-7 followed by a strong electric field in the plasma sheath. It bears repeating that this is in general not true for plasmas with multiple positive ion species, 5,6 and that only for two component plasmas ͑one positive and one negative species for which M + ӷ M − ͒ does the usual Bohm criterion apply. The generalized Bohm criterion applies 8 in the case of multiple positive ion species, and is satisfied by a continuum of possible sheath edge ion speeds, for each ion species.…”
Section: Experimental Studies Of Transverse Metastable Ion Velocity Dmentioning
confidence: 89%
“…Ion acceleration at the plasma boundary is established by a weak electric field in the presheath, 1,2 which accelerates ions to the Bohm velocity at the sheath edge, 3-7 followed by a strong electric field in the plasma sheath. It bears repeating that this is in general not true for plasmas with multiple positive ion species, 5,6 and that only for two component plasmas ͑one positive and one negative species for which M + ӷ M − ͒ does the usual Bohm criterion apply. The generalized Bohm criterion applies 8 in the case of multiple positive ion species, and is satisfied by a continuum of possible sheath edge ion speeds, for each ion species.…”
Section: Experimental Studies Of Transverse Metastable Ion Velocity Dmentioning
confidence: 89%
“…In a multiple ion low pressure plasma with comparable ion densities n i,k , each species, marked with an index k, enters the sheath with the bulk ion sound velocity [21] v B = e 0 V e n e,0 k…”
Section: Description Of the Energy Fluxes Between Plasma And Particlementioning
confidence: 99%
“…In an unmagnetized case, the solutions with valid entry velocity combinations of various ion species constituting this flow setup are obtained by employing the generalized Bohm criterion, 2 which admits distinct flow velocity values for individual species, in conjunction with a generalized dispersion relation of the multiple ion species plasma, and then making an assumption that the plasma parameters change negligibly across an accelerating presheath formed between a quiescent bulk and the electrostatic sheath edge. 3 In a magnetized multiple ion species plasma, however, an equivalent of the generalized Bohm criterion is necessary to ascertain the stable flow velocity combinations that would enable a stable plasma sheath to form.…”
Section: Introductionmentioning
confidence: 99%