Analytic solution for a joint Bohm sheath and pre-sheath potential profile | Zendy

Pla N | Zendy; Fernando Maass | Zendy; F. Calderón | Zendy; F. Lastra | Zendy

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Analytic solution for a joint Bohm sheath and pre-sheath potential profile

Author(s) -

Pla N,

Fernando Maass,

F. Calderón,

F. Lastra

Publication year - 2019

Publication title -

physica scripta

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.415

H-Index - 83

eISSN - 1402-4896

pISSN - 0031-8949

DOI - 10.1088/1402-4896/ab2b1a

Subject(s) - dimensionless quantity , debye sheath , physics , electric field , electric potential , plasma , differential (mechanical device) , mechanics , classical mechanics , quantum mechanics , thermodynamics , voltage

An analytic solution is presented in this paper for the electric potential near a wall in a confined plasma. This is well fitted for both the sheath and pre-sheath regions. In the sheath region, the potential is well adapted to the differential equation proposed by Bohm. In the pre-sheath region, the potential is also well suited, decaying to zero electric field in the plasma, which is a physical condition. The potential is also valid for any value of the parameter K measuring the dimensionless Bohm velocity.

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