NDLI: Semi-analytic solution of the plane discharge with warm ions

Content Provider	IEEE Xplore Digital Library
Author	Jelic, N. Kos, L. Duhovnik, J.
Copyright Year	2012
Description	Author affiliation: University of Ljubljana, Faculty of Mech. Eng., Aškerceva 6, SI-1000 Slovenia (Kos, L.; Duhovnik, J.) \|\| Association EURATOM-ÖAW, Institute for Theoretical Physics, University of Innsbruck, A-6020, Austria (Jelic, N.)
Abstract	Summary form only given. The problem of plane collision-free discharge is an old important one, which has been defined and solved with ions born at rest almost one century ago by Tonks and Langmuir [1]. After decades the first attempts to solve this problem also for the case of ions born with a finite temperature resulted in a numerical solution of Bissell and Johnson [2], which however, was valid only in a narrow range of the ion-source temperatures. A highly reliable, i.e., exact numerical solution valid for arbitrary ion source temperature on a high resolution non-uniform grid was obtained by Kos et al. [3] and later on an analytic solution, expressed in an implicit form [4], which contains straightforward but not-tabulated integrals, so still is not practical to be implemented as a cost-effective numerical subroutine in other codes, e.g., for calculating the self-consistent plasma boundary conditions. In this work we go a step ahead and present a new explicit solution for the kernel of the problem i.e., the potential profile of the discharge. Comparison with the exact solution of Kos et al., shows an surprisingly good agreement obtained by both methods for enough high ion source temperatures.
File Size	82212
File Format	PDF
ISBN	9781457721274
ISSN	07309244
e-ISBN	9781457721298
e-ISBN	9781457721281
DOI	10.1109/PLASMA.2012.6383571
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-08
Publisher Place	United Kingdom
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Plasma temperature Discharges (electric) Educational institutions Temperature distribution Ion sources
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Condensed Matter Physics Electrical and Electronic Engineering

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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