Model of a Thin Current Sheet in the Earth’s Magnetotail with a Kinetic Description of Magnetized Electrons
Steady-state two-dimensional thin current sheets (TCSs) in collisionless space plasma, similar to the current sheet of the near-Earth magnetotail, are considered. The magnetic field of the sheet is orthogonal to the current and has a nonzero normal component, the electrons are magnetized, and the io...
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Veröffentlicht in: | Plasma physics reports 2018-10, Vol.44 (10), p.899-919 |
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description | Steady-state two-dimensional thin current sheets (TCSs) in collisionless space plasma, similar to the current sheet of the near-Earth magnetotail, are considered. The magnetic field of the sheet is orthogonal to the current and has a nonzero normal component, the electrons are magnetized, and the ions are unmagnetized. To solve the problem of kinetic description of electrons in such current sheets in a general form, they are described by the Vlasov equation in the drift approximation, the general solution to which is found in the form of a function of three independent integrals of the system of drift motion equations. An important case is considered in which the electron guiding centers obey a Maxwell–Boltzmann distribution in a stationary electromagnetic field. The obtained results make it possible to create one- and two-dimensional numerical− analytical models of current sheets in which unmagnetized ions are described by the Vlasov equation, which should be solved numerically, whereas the contribution of magnetized electrons is taken into account analytically. To numerically solve the time-independent Vlasov equation, a new method is proposed that allows one to perform the bulk of computations by using graphic processors. On the basis of the new theory, a one-dimensional numerical−analytical model of a steady-state TCS in the near-Earth magnetotail is presented, TCS configurations are calculated, and the role of electrostatic effects and electron pressure anisotropy is analyzed. |
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An important case is considered in which the electron guiding centers obey a Maxwell–Boltzmann distribution in a stationary electromagnetic field. The obtained results make it possible to create one- and two-dimensional numerical− analytical models of current sheets in which unmagnetized ions are described by the Vlasov equation, which should be solved numerically, whereas the contribution of magnetized electrons is taken into account analytically. To numerically solve the time-independent Vlasov equation, a new method is proposed that allows one to perform the bulk of computations by using graphic processors. On the basis of the new theory, a one-dimensional numerical−analytical model of a steady-state TCS in the near-Earth magnetotail is presented, TCS configurations are calculated, and the role of electrostatic effects and electron pressure anisotropy is analyzed.</description><identifier>ISSN: 1063-780X</identifier><identifier>EISSN: 1562-6938</identifier><identifier>DOI: 10.1134/S1063780X18100082</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>ANISOTROPY ; Atomic ; Boltzmann distribution ; BOLTZMANN-VLASOV EQUATION ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; Current sheets ; Drift ; Earth ; ELECTROMAGNETIC FIELDS ; Electron pressure ; ELECTRONS ; ELECTROSTATICS ; Equations of motion ; MAGNETIC FIELDS ; MAGNETOTAIL ; Mathematical analysis ; Mathematical models ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Pressure effects ; Space Plasma ; Space plasmas ; Steady state ; Two dimensional analysis ; Two dimensional models ; TWO-DIMENSIONAL CALCULATIONS ; Vlasov equations</subject><ispartof>Plasma physics reports, 2018-10, Vol.44 (10), p.899-919</ispartof><rights>Pleiades Publishing, Ltd. 2018</rights><rights>Copyright Springer Science & Business Media 2018</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c344t-a6d7ff3fc812c1bb930720f71af869dba1d6b65eaa1fe23591232e7ba2e542253</citedby><cites>FETCH-LOGICAL-c344t-a6d7ff3fc812c1bb930720f71af869dba1d6b65eaa1fe23591232e7ba2e542253</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1063780X18100082$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1063780X18100082$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,315,782,786,887,27931,27932,41495,42564,51326</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/22763218$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Mingalev, O. V.</creatorcontrib><creatorcontrib>Malova, H. V.</creatorcontrib><creatorcontrib>Mingalev, I. V.</creatorcontrib><creatorcontrib>Mel’nik, M. N.</creatorcontrib><creatorcontrib>Setsko, P. V.</creatorcontrib><creatorcontrib>Zelenyi, L. M.</creatorcontrib><title>Model of a Thin Current Sheet in the Earth’s Magnetotail with a Kinetic Description of Magnetized Electrons</title><title>Plasma physics reports</title><addtitle>Plasma Phys. Rep</addtitle><description>Steady-state two-dimensional thin current sheets (TCSs) in collisionless space plasma, similar to the current sheet of the near-Earth magnetotail, are considered. The magnetic field of the sheet is orthogonal to the current and has a nonzero normal component, the electrons are magnetized, and the ions are unmagnetized. To solve the problem of kinetic description of electrons in such current sheets in a general form, they are described by the Vlasov equation in the drift approximation, the general solution to which is found in the form of a function of three independent integrals of the system of drift motion equations. An important case is considered in which the electron guiding centers obey a Maxwell–Boltzmann distribution in a stationary electromagnetic field. The obtained results make it possible to create one- and two-dimensional numerical− analytical models of current sheets in which unmagnetized ions are described by the Vlasov equation, which should be solved numerically, whereas the contribution of magnetized electrons is taken into account analytically. To numerically solve the time-independent Vlasov equation, a new method is proposed that allows one to perform the bulk of computations by using graphic processors. On the basis of the new theory, a one-dimensional numerical−analytical model of a steady-state TCS in the near-Earth magnetotail is presented, TCS configurations are calculated, and the role of electrostatic effects and electron pressure anisotropy is analyzed.</description><subject>ANISOTROPY</subject><subject>Atomic</subject><subject>Boltzmann distribution</subject><subject>BOLTZMANN-VLASOV EQUATION</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>Current sheets</subject><subject>Drift</subject><subject>Earth</subject><subject>ELECTROMAGNETIC FIELDS</subject><subject>Electron pressure</subject><subject>ELECTRONS</subject><subject>ELECTROSTATICS</subject><subject>Equations of motion</subject><subject>MAGNETIC FIELDS</subject><subject>MAGNETOTAIL</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Pressure effects</subject><subject>Space Plasma</subject><subject>Space plasmas</subject><subject>Steady state</subject><subject>Two dimensional analysis</subject><subject>Two dimensional models</subject><subject>TWO-DIMENSIONAL CALCULATIONS</subject><subject>Vlasov equations</subject><issn>1063-780X</issn><issn>1562-6938</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kM1KQzEQhS-iYP15AHcB11czk96fLqXWH7S4UMHdJTd34k1pk5qkiK58DV_PJzGlggtxNcOZ7xwOk2VHwE8AxPD0Hngpqpo_QQ2c8xq3sgEUJeblSNTbaU_nfH3fzfZCmHEOUBcwyBZT19GcOc0ke-iNZeOV92Qju--JIktC7IlNpI_918dnYFP5bCm6KM2cvZrYJ9uNSYpR7JyC8mYZjbPrvA1p3qljkzmp6J0NB9mOlvNAhz9zP3u8mDyMr_Lbu8vr8dltrsRwGHNZdpXWQqsaUEHbjgSvkOsKpK7LUddK6Mq2LEhK0ISiGAEKpKqVSMUQsRD72fEm14VomqBMJNUrZ23q0SBWpUCof6mldy8rCrGZuZW3qViDgBwFFIInCjaU8i4ET7pZerOQ_q0B3qx_3_z5ffLgxhMSa5_J_yb_b_oGTcaGOQ</recordid><startdate>20181001</startdate><enddate>20181001</enddate><creator>Mingalev, O. V.</creator><creator>Malova, H. V.</creator><creator>Mingalev, I. V.</creator><creator>Mel’nik, M. N.</creator><creator>Setsko, P. V.</creator><creator>Zelenyi, L. M.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>20181001</creationdate><title>Model of a Thin Current Sheet in the Earth’s Magnetotail with a Kinetic Description of Magnetized Electrons</title><author>Mingalev, O. V. ; Malova, H. V. ; Mingalev, I. V. ; Mel’nik, M. N. ; Setsko, P. V. ; Zelenyi, L. 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V.</creatorcontrib><creatorcontrib>Malova, H. V.</creatorcontrib><creatorcontrib>Mingalev, I. V.</creatorcontrib><creatorcontrib>Mel’nik, M. N.</creatorcontrib><creatorcontrib>Setsko, P. V.</creatorcontrib><creatorcontrib>Zelenyi, L. M.</creatorcontrib><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Plasma physics reports</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mingalev, O. V.</au><au>Malova, H. V.</au><au>Mingalev, I. V.</au><au>Mel’nik, M. N.</au><au>Setsko, P. V.</au><au>Zelenyi, L. M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Model of a Thin Current Sheet in the Earth’s Magnetotail with a Kinetic Description of Magnetized Electrons</atitle><jtitle>Plasma physics reports</jtitle><stitle>Plasma Phys. Rep</stitle><date>2018-10-01</date><risdate>2018</risdate><volume>44</volume><issue>10</issue><spage>899</spage><epage>919</epage><pages>899-919</pages><issn>1063-780X</issn><eissn>1562-6938</eissn><abstract>Steady-state two-dimensional thin current sheets (TCSs) in collisionless space plasma, similar to the current sheet of the near-Earth magnetotail, are considered. The magnetic field of the sheet is orthogonal to the current and has a nonzero normal component, the electrons are magnetized, and the ions are unmagnetized. To solve the problem of kinetic description of electrons in such current sheets in a general form, they are described by the Vlasov equation in the drift approximation, the general solution to which is found in the form of a function of three independent integrals of the system of drift motion equations. An important case is considered in which the electron guiding centers obey a Maxwell–Boltzmann distribution in a stationary electromagnetic field. The obtained results make it possible to create one- and two-dimensional numerical− analytical models of current sheets in which unmagnetized ions are described by the Vlasov equation, which should be solved numerically, whereas the contribution of magnetized electrons is taken into account analytically. To numerically solve the time-independent Vlasov equation, a new method is proposed that allows one to perform the bulk of computations by using graphic processors. On the basis of the new theory, a one-dimensional numerical−analytical model of a steady-state TCS in the near-Earth magnetotail is presented, TCS configurations are calculated, and the role of electrostatic effects and electron pressure anisotropy is analyzed.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1063780X18100082</doi><tpages>21</tpages></addata></record> |
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subjects | ANISOTROPY Atomic Boltzmann distribution BOLTZMANN-VLASOV EQUATION CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Current sheets Drift Earth ELECTROMAGNETIC FIELDS Electron pressure ELECTRONS ELECTROSTATICS Equations of motion MAGNETIC FIELDS MAGNETOTAIL Mathematical analysis Mathematical models Molecular Optical and Plasma Physics Physics Physics and Astronomy Pressure effects Space Plasma Space plasmas Steady state Two dimensional analysis Two dimensional models TWO-DIMENSIONAL CALCULATIONS Vlasov equations |
title | Model of a Thin Current Sheet in the Earth’s Magnetotail with a Kinetic Description of Magnetized Electrons |
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