Open AccessAnalytic solution for a joint Bohm sheath and pre-sheath potential profile
Author(s) -
Pablo Martín,
Fernando Maass,
F. A. 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.