Time-dependent kinetic theory of the plasma-wall transition layer in a weakly ionized plasma
An analytic solution of the time-dependent Boltzmann kinetic equation is found for the first time. The plasma-wall transition (PWT) layer is analyzed using time-dependent velocity distribution functions for electrons and ions. The process of wall charging by electrons is described and estimated. For...
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Veröffentlicht in: | Physics of plasmas 2020-02, Vol.27 (2) |
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creator | Tskhakaya, D. D. Vasileska, I. Kos, L. Jelić, N. Kuhn, S. |
description | An analytic solution of the time-dependent Boltzmann kinetic equation is found for the first time. The plasma-wall transition (PWT) layer is analyzed using time-dependent velocity distribution functions for electrons and ions. The process of wall charging by electrons is described and estimated. For states close to the time-independent (stationary) state, for which the time dependence of the PWT parameters is weak, (i) the potential shapes in the pre-sheath (PS) and the Debye sheath (DS) are analyzed and (ii) the intermediate region, which bridges the PS and DS sublayers, is defined and its characteristic length is determined. The ion kinetics are dominated by charge exchange with cold neutrals and electron-impact ionization collisions of neutrals. The charge-exchange mean free path λcx is assumed to be constant and much larger than the electron Debye length λDe. The detailed time dependence of the PS sublayer's approach of the stationary state is found. It is proved that the stationary state can be realized only if the floating-potential condition is fulfilled. |
doi_str_mv | 10.1063/1.5123911 |
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D. ; Vasileska, I. ; Kos, L. ; Jelić, N. ; Kuhn, S.</creator><creatorcontrib>Tskhakaya, D. D. ; Vasileska, I. ; Kos, L. ; Jelić, N. ; Kuhn, S.</creatorcontrib><description>An analytic solution of the time-dependent Boltzmann kinetic equation is found for the first time. The plasma-wall transition (PWT) layer is analyzed using time-dependent velocity distribution functions for electrons and ions. The process of wall charging by electrons is described and estimated. For states close to the time-independent (stationary) state, for which the time dependence of the PWT parameters is weak, (i) the potential shapes in the pre-sheath (PS) and the Debye sheath (DS) are analyzed and (ii) the intermediate region, which bridges the PS and DS sublayers, is defined and its characteristic length is determined. The ion kinetics are dominated by charge exchange with cold neutrals and electron-impact ionization collisions of neutrals. The charge-exchange mean free path λcx is assumed to be constant and much larger than the electron Debye length λDe. The detailed time dependence of the PS sublayer's approach of the stationary state is found. It is proved that the stationary state can be realized only if the floating-potential condition is fulfilled.</description><identifier>ISSN: 1070-664X</identifier><identifier>EISSN: 1089-7674</identifier><identifier>DOI: 10.1063/1.5123911</identifier><identifier>CODEN: PHPAEN</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Charge exchange ; Debye length ; Distribution functions ; Electrons ; Exact solutions ; Ions ; Kinetic equations ; Kinetic theory ; Mathematical analysis ; Plasma physics ; Sheaths ; Time dependence ; Transition layers ; Velocity distribution</subject><ispartof>Physics of plasmas, 2020-02, Vol.27 (2)</ispartof><rights>Author(s)</rights><rights>2020 Author(s). 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D.</creatorcontrib><creatorcontrib>Vasileska, I.</creatorcontrib><creatorcontrib>Kos, L.</creatorcontrib><creatorcontrib>Jelić, N.</creatorcontrib><creatorcontrib>Kuhn, S.</creatorcontrib><title>Time-dependent kinetic theory of the plasma-wall transition layer in a weakly ionized plasma</title><title>Physics of plasmas</title><description>An analytic solution of the time-dependent Boltzmann kinetic equation is found for the first time. The plasma-wall transition (PWT) layer is analyzed using time-dependent velocity distribution functions for electrons and ions. The process of wall charging by electrons is described and estimated. For states close to the time-independent (stationary) state, for which the time dependence of the PWT parameters is weak, (i) the potential shapes in the pre-sheath (PS) and the Debye sheath (DS) are analyzed and (ii) the intermediate region, which bridges the PS and DS sublayers, is defined and its characteristic length is determined. The ion kinetics are dominated by charge exchange with cold neutrals and electron-impact ionization collisions of neutrals. The charge-exchange mean free path λcx is assumed to be constant and much larger than the electron Debye length λDe. The detailed time dependence of the PS sublayer's approach of the stationary state is found. It is proved that the stationary state can be realized only if the floating-potential condition is fulfilled.</description><subject>Charge exchange</subject><subject>Debye length</subject><subject>Distribution functions</subject><subject>Electrons</subject><subject>Exact solutions</subject><subject>Ions</subject><subject>Kinetic equations</subject><subject>Kinetic theory</subject><subject>Mathematical analysis</subject><subject>Plasma physics</subject><subject>Sheaths</subject><subject>Time dependence</subject><subject>Transition layers</subject><subject>Velocity distribution</subject><issn>1070-664X</issn><issn>1089-7674</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp9kNFLwzAQxoMoOKcP_gcBnxQ6c22TJo8ynAoDXyb4IJQsuWK2rq1Jxqh_vS3bsw_HfRy_u-P7CLkFNgMmskeYcUgzBXBGJsCkSgpR5OejLlgiRP55Sa5C2DDGcsHlhHyt3A4Tix02FptIt67B6AyN39j6nrbVqGhX67DTyUHXNY1eN8FF1za01j166hqq6QH1tu7pMHW_aE8L1-Si0nXAm1Ofko_F82r-mizfX97mT8vEpCqNCc9SnlvJCgEqRUBVIawrY6y2ViklBAxOhOQiFWutMzNUpizjTEqp8pxnU3J3vNv59mePIZabdu-b4WWZZrwYbgCDgbo_Usa3IXisys67nfZ9CawcwyuhPIU3sA9HNhgX9Wj2H_gPVIRuGA</recordid><startdate>202002</startdate><enddate>202002</enddate><creator>Tskhakaya, D. D.</creator><creator>Vasileska, I.</creator><creator>Kos, L.</creator><creator>Jelić, N.</creator><creator>Kuhn, S.</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><orcidid>https://orcid.org/0000-0002-1790-7093</orcidid><orcidid>https://orcid.org/0000-0001-9716-2388</orcidid><orcidid>https://orcid.org/0000-0002-0032-9645</orcidid><orcidid>https://orcid.org/0000-0002-5710-2070</orcidid></search><sort><creationdate>202002</creationdate><title>Time-dependent kinetic theory of the plasma-wall transition layer in a weakly ionized plasma</title><author>Tskhakaya, D. D. ; Vasileska, I. ; Kos, L. ; Jelić, N. ; Kuhn, S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c292t-53254d8076192e1e9fe1bfccdadd999661108685626baa3caa339d05088894453</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Charge exchange</topic><topic>Debye length</topic><topic>Distribution functions</topic><topic>Electrons</topic><topic>Exact solutions</topic><topic>Ions</topic><topic>Kinetic equations</topic><topic>Kinetic theory</topic><topic>Mathematical analysis</topic><topic>Plasma physics</topic><topic>Sheaths</topic><topic>Time dependence</topic><topic>Transition layers</topic><topic>Velocity distribution</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tskhakaya, D. D.</creatorcontrib><creatorcontrib>Vasileska, I.</creatorcontrib><creatorcontrib>Kos, L.</creatorcontrib><creatorcontrib>Jelić, N.</creatorcontrib><creatorcontrib>Kuhn, S.</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physics of plasmas</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tskhakaya, D. D.</au><au>Vasileska, I.</au><au>Kos, L.</au><au>Jelić, N.</au><au>Kuhn, S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Time-dependent kinetic theory of the plasma-wall transition layer in a weakly ionized plasma</atitle><jtitle>Physics of plasmas</jtitle><date>2020-02</date><risdate>2020</risdate><volume>27</volume><issue>2</issue><issn>1070-664X</issn><eissn>1089-7674</eissn><coden>PHPAEN</coden><abstract>An analytic solution of the time-dependent Boltzmann kinetic equation is found for the first time. The plasma-wall transition (PWT) layer is analyzed using time-dependent velocity distribution functions for electrons and ions. The process of wall charging by electrons is described and estimated. For states close to the time-independent (stationary) state, for which the time dependence of the PWT parameters is weak, (i) the potential shapes in the pre-sheath (PS) and the Debye sheath (DS) are analyzed and (ii) the intermediate region, which bridges the PS and DS sublayers, is defined and its characteristic length is determined. The ion kinetics are dominated by charge exchange with cold neutrals and electron-impact ionization collisions of neutrals. The charge-exchange mean free path λcx is assumed to be constant and much larger than the electron Debye length λDe. The detailed time dependence of the PS sublayer's approach of the stationary state is found. It is proved that the stationary state can be realized only if the floating-potential condition is fulfilled.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.5123911</doi><tpages>15</tpages><orcidid>https://orcid.org/0000-0002-1790-7093</orcidid><orcidid>https://orcid.org/0000-0001-9716-2388</orcidid><orcidid>https://orcid.org/0000-0002-0032-9645</orcidid><orcidid>https://orcid.org/0000-0002-5710-2070</orcidid></addata></record> |
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subjects | Charge exchange Debye length Distribution functions Electrons Exact solutions Ions Kinetic equations Kinetic theory Mathematical analysis Plasma physics Sheaths Time dependence Transition layers Velocity distribution |
title | Time-dependent kinetic theory of the plasma-wall transition layer in a weakly ionized plasma |
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