Plasma sheath in the presence of an oblique magnetic field

Pandey, B. P.; Samarian, A. A.; Владимиров, С. В.

doi:10.1088/0741-3335/50/5/055003

Cited by 37 publications

(16 citation statements)

References 34 publications

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“…In one approach, people attempt to treat the plasma and its presheath-sheath structure in the presence of an oblique magnetic field without this assumption. 10,[22][23][24][25][26][27] Yet, in an alternative approach, the authors trust this assumption. 9,28-31 Sternberg et al believed 10 that in the presence of a high magnetic field, the Boltzmann equation does not hold, while Allen 32 in his comment stated that in the vicinity of the plasma boundary, the electric force dominates the magnetic Lorentz force and therefore the Boltzmann relation still holds.…”

Section: Model Equationsmentioning

confidence: 99%

Structure of presheath-sheath in magnetized electronegative plasma

2009

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The structure of an electronegative discharge is investigated in the presence of an oblique, uniform, and constant magnetic field. For different magnetic field strengths, the densities of the positive ion, electron, as well as negative ion have been calculated. Furthermore, the profiles of positive ion's velocity and electric potential are obtained. Under high values of electronegativity and for sufficiently cold negative ions, different magnetic field values constitute three types of discharge structure. For a very small magnetic field strength, a uniform structure is formed; for an intermediate magnetic field, a stratified multiple layer structure emerges, which is followed by electric potential oscillations; while for an intense magnetic field, these oscillations disappear. The flux of the positive ion reaching the cathode as a function of the magnetic field strength is also obtained and the result is compared with the electropositive discharge.

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Section: Model Equationsmentioning

confidence: 99%

Structure of presheath-sheath in magnetized electronegative plasma

2009

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“…31 It should be noted that the sheath structure for E 0 ¼ 0 is very similar to the case when E 0 is a small value. 32 Therefore, to prevent the divergence of the numerical results, we assumed that E 0 takes an infinitesimal value. Using these parameters in inequality (25) and assuming h ¼ 7 andd 1 ¼ 0:02, it is easily found that the sheath formation criterion takes the form u 01x > 0:8, i.e., the lowest allowable velocity of positive ion to enter into the sheath region is u 01x ¼ 0:8.…”

Section: Resultsmentioning

confidence: 99%

An analytic expression for the sheath criterion in magnetized plasmas with multi-charged ion species

Hatami

2015

Physics of Plasmas

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The generalized Bohm criterion in magnetized multi-component plasmas consisting of multi-charged positive and negative ion species and electrons is analytically investigated by using the hydrodynamic model. It is assumed that the electrons and negative ion density distributions are the Boltzmann distribution with different temperatures and the positive ions enter into the sheath region obliquely. Our results show that the positive and negative ion temperatures, the orientation of the applied magnetic field and the charge number of positive and negative ions strongly affect the Bohm criterion in these multi-component plasmas. To determine the validity of our derived generalized Bohm criterion, it reduced to some familiar physical condition and it is shown that monotonically reduction of the positive ion density distribution leading to the sheath formation occurs only when entrance velocity of ion into the sheath satisfies the obtained Bohm criterion. Also, as a practical application of the obtained Bohm criterion, effects of the ionic temperature and concentration as well as magnetic field on the behavior of the charged particle density distributions and so the sheath thickness of a magnetized plasma consisting of electrons and singly charged positive and negative ion species are studied numerically. V C 2015 AIP Publishing LLC.

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“…7, which pointed out that the sheath length in a magnetized plasma is larger in the perpendicular direction than in the parallel direction.…”

Section: ͑9͒mentioning

confidence: 99%

Charge shielding in magnetized plasmas

2010

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The shielding of a charge sheet in a magnetized plasma is investigated by taking account of the diamagnetic drift start-up current in addition to the polarization current. For a charge sheet with an infinitesimal width, the shielding is the same as the conventional Debye shielding if the charge sheet is perpendicular to the magnetic field; the shielding length is ͱ 2 times larger than the conventional one if the charge sheet is parallel to the magnetic field. When the scale length of the charge sheet is comparable or smaller than the ion Larmor radius, the electric field is significantly enhanced within the charge sheet, while far away from the charge sheet, the electric field is shielded to the usual 1 / r level ͑where r is the diamagnetic coefficient of the magnetized plasma͒.

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Plasma sheath in the presence of an oblique magnetic field

Cited by 37 publications

References 34 publications

Structure of presheath-sheath in magnetized electronegative plasma

Structure of presheath-sheath in magnetized electronegative plasma

An analytic expression for the sheath criterion in magnetized plasmas with multi-charged ion species

Charge shielding in magnetized plasmas

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