1989
DOI: 10.1063/1.859137
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Sheath and presheath in a collisionless open-field plasma

Abstract: The plasma–sheath equation for a collisionless plasma with a finite-temperature particle source in a nonuniform open magnetic field is formulated. The plasma equation is solved analytically and the plasma–sheath equation is also solved numerically for various profiles of the magnetic field. The potential formed in the plasma depends considerably on the profile of the magnetic field strength; the potential drop in the presheath increases and the ion distribution function widens as the magnetic field strength de… Show more

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Cited by 37 publications
(18 citation statements)
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“…For a comparison, the cases of plasma that consists of only proton, D ion, and T ion are also shown by broken, chick chain and chin chain lines, respectively. The profile in the case of the only proton is similar to the result derived in [2]. The potential drop in the case of only proton is smallest and that in the case of only T ion is largest.…”
Section: Plasma-sheath Equationsupporting
confidence: 82%
See 1 more Smart Citation
“…For a comparison, the cases of plasma that consists of only proton, D ion, and T ion are also shown by broken, chick chain and chin chain lines, respectively. The profile in the case of the only proton is similar to the result derived in [2]. The potential drop in the case of only proton is smallest and that in the case of only T ion is largest.…”
Section: Plasma-sheath Equationsupporting
confidence: 82%
“…For unmagnetized plasma consisting of proton and electron, Emmert et al have investigated formation of the electric potential considering both the plasma and the sheath regions self-consistently by using a plasma-sheath equation [1]. Sato et al have extended the method of Emmert et al to a case of magnetized plasma with the open magnetic field like SOL and divertor region of fusion plasmas [2]. However the effect of the multi-species ions such as D ion and T ion on the electric potential near the wall has not been understood.…”
Section: Introductionmentioning
confidence: 99%
“…The boundary layer problem in magnetized plasmas is of particular importance for the theoretical understanding of controlled fusion experiments. 6,7 In contrast to the case of a magnetic field perpendicular to the wall, 8,9 only a little information is available on the plasma-sheath transition in systems where the ion transport to the wall is strongly impeded by the magnetic field.…”
Section: Introductionmentioning
confidence: 95%
“…In fusion devices the magnetic field expands in the direction of the divertor plate, i.e. The potential formation of a presheath in the open magnetic field studied analytically and numerically [3]. The bombardment of accelerated ions to the plate may cause several severe problems to fusion plasmas, for example, release of large amount of impurities from the divertor plate.…”
Section: Introductionmentioning
confidence: 99%
“…With the use of a two dimensional kinetic analysis, Sato [2] clarified this magnetic presheath is attributed to the ion polarization drift. The potential formation of a presheath in the open magnetic field studied analytically and numerically [3]. The effects, however, of nonuniformity of the magnetic field have not been taken into account for the stable Debye sheath formation.…”
Section: Introductionmentioning
confidence: 99%