NDLI: Asymptotic matching of plasma bulk and sheath: convergence properties and approximation failure

Content Provider	IEEE Xplore Digital Library
Author	Brinkmann, R.P.
Copyright Year	2004
Description	Author affiliation: Ruhr-Univ., Bochum, Germany (Brinkmann, R.P.)
Abstract	Summary form only given. The numerical simulation of low pressure high density plasmas becomes inherently complicated due to the presence of vastly different length scales in the dynamics. Particularly, the sheath thickness H (which typically amounts to a few Debye lengths) is often much smaller than the characteristic reactor scale L. This fact is often referred to as the "numerical stiffness" of the plasma equations, and has motivated many authors to apply the technique of matched asymptotic expansions to arrive at plasma descriptions which combine a geometrically extended bulk model with an infinitesimally thin sheath model. In these formulations, the bulk dynamics is represented by a set of partial differential equations and the sheath by their boundary conditions. There are two principal problems connected with the approach. One is the fact that the underlying mathematical technique of matched asymptotic expansions seem to pose serious difficulties of its own. In fact, a lively discussion is currently underway in which some contributors seem to doubt the validity of the approach altogether. The method of matched asymptotic expansions yield approximations which contain a modeling error and fail when the underlying scaling assumptions break down. It is this problem that is addressed by our contribution. We study a simplified one-dimensional toy model of the dynamics of a low pressure plasma. This description contains the equation of continuity and the equation of motion for the ion component, assumes Boltzmann equilibrium for the electrons, and couples both fluids under the condition of quasi-neutrality. The model is compared with an even simpler description where the equation of motion is replaced by a drift-diffusion ansatz. This, replacement is equivalent to neglecting of ion inertia in the limit of a small collisional mean free path /spl lambda/ and it requires the choice of a boundary condition (to substitute Bohms criterion which is not any longer available).
Sponsorship	Plasma Sci. and Applications Committee of the IEEE Nuclear and Plasma Sci. Soc
File Size	93534
File Format	PDF
ISBN	0780383346
ISSN	07309244
DOI	10.1109/PLASMA.2004.1340105
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Plasma properties Plasma sheaths Convergence Equations Plasma density Plasma simulation Solid modeling Boundary conditions Numerical simulation Inductors
Content Type	Text
Resource Type	Article
Subject	Atomic and Molecular Physics, and Optics Condensed Matter Physics Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
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
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in