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The Knudsen Ion Layer Problem in the Theory of the Collisionless Sheath
Author(s) -
Chekmarev I. B.,
Sklyaroba E. M.,
Kolesnikova E. N.
Publication year - 1983
Publication title -
beiträge aus der plasmaphysik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0005-8025
DOI - 10.1002/ctpp.19830230408
Subject(s) - knudsen number , debye length , mean free path , ionization , debye sheath , ion , atomic physics , debye , layer (electronics) , physics , path (computing) , electrode , chemistry , quantum mechanics , programming language , organic chemistry , computer science , scattering
Abstract The interaction of a partially ionized continuum gas with a negatively charged electrode is investigated theoretically. It is supposed that l d ≪ 1, where l d is the Debye length, l is the mean‐free‐path. The self‐consistent solution is given for two cases: l I ≫ l and l I ∼ l, l I is the effective ionisation length. The matched asymptotic expansions method is used. The Bohm sheath criterion is shown to be satisfied automatically in the considered cases.