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Electron collection and thermionic emission from a spherical dust grain in the space-charge limited regime

Autricque, Adrien and Khrapak, Sergey and Couedel, L. and Fedorczak, N. and Arnas, Cecile and Layet, Jean-Marc and Grisolia, C. (2018) Electron collection and thermionic emission from a spherical dust grain in the space-charge limited regime. Physics of Plasmas, 25, 063701. American Institute of Physics (AIP). DOI: 10.1063/1.5032153 ISSN 1070-664X

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Abstract

The collection and emission of electrons from a spherical body in the Space-Charge Limited (SCL) regime are investigated. When a Virtual Cathode (VC) in the potential profile around the body is present, the barrier in the effective potential energy of electrons is assumed to be located near the position of the minimum of the VC potential, for both collected and emitted electrons. This assumption is confirmed to be reasonable in the case of a double Yukawa potential profile and allows the SCL cross-section for electron collection and the emitted electron’s trapped-passing boundary to be written in a simple way. An expression for the collection current for Maxwellian electrons is derived and is shown to recover the classical Orbital Motion Limited (OML) theory when the VC vanishes. Using the same assumptions, an expression for the thermionic emission current in the SCL regime is also obtained and comparisons with the OML+ theory are made. Finally, an expression for the dust electric charge in the SCL regime is derived and shown to give drastically different results when compared to the commonly used formula (obtained from a Yukawa potential profile). Consequences in the framework of dust in tokamak plasmas are discussed.

Item URL in elib:https://elib.dlr.de/120411/
Document Type:Article
Title:Electron collection and thermionic emission from a spherical dust grain in the space-charge limited regime
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Autricque, AdrienCEA, IRFM, FranceUNSPECIFIED
Khrapak, SergeyDLR, Sergey.Khrapak (at) dlr.deUNSPECIFIED
Couedel, L.CNRS, Aix-Marseille UniversiteUNSPECIFIED
Fedorczak, N.CEA, IRFM, FranceUNSPECIFIED
Arnas, CecileCNRS, Aix-Marseille UniversiteUNSPECIFIED
Layet, Jean-MarcCNRS, Aix-Marseille UniversiteUNSPECIFIED
Grisolia, C.CEA, IRFM, FranceUNSPECIFIED
Date:8 June 2018
Journal or Publication Title:Physics of Plasmas
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:25
DOI :10.1063/1.5032153
Page Range:063701
Publisher:American Institute of Physics (AIP)
ISSN:1070-664X
Status:Published
Keywords:complex (dusty) plasma, plasma-particle interactions, particle charging, electron collection and emission
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):R - Komplexe Plasmen / Theory, Simulation
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Materials Physics in Space > Research Group Complex Plasma
Deposited By: Khrapak, Sergey
Deposited On:27 Jun 2018 13:19
Last Modified:06 Sep 2019 15:18

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