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Complete plasma and sheath solution for Tonks-Langmuir models with warm ion sources [Elektronski vir]
Kos, Leon, 1966- ...
The problem of Tonks-Langmuir-type collisionless discharges [Phys.Rev. 34(6), 876 (1929)] is a very old and basic one but, unfortunately, has hitherto been solved only with various simplifying ...assumptions facilitating solution for restricted ranges of validity and particular applications. The mathematical and computational difficulties of the problem at hand are so severe [K.- U. Riemann, in 62nd Ann. Gaseous Electronics Conf., (2009)] that during last 80 years it was only treated for the limiting cases e 0 (which represents the ratio of Debye length over discharge characteristic length) and/or the normalized ion source temperature t 0, but never solved properly for arbitrary finite values of both quantities. In the present paper we present a reliable method of solution not subject to any restriction of this kind, and demonstrate the results to be applicable in a practically unlimited range of plasma parameters appropriate for experimental and fusion-relevant plasmas.
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