On the validity of the guiding-center approximation in a magnetic dipole field
The problem of the charged-particle motion in an axisymmetric magnetic-dipole geometry is used to assess the validity of Hamiltonian guiding-center theory, which includes higher-order corrections associated with guiding-center polarization induced by magnetic-field nonuniformity. When a magnetically...
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| Veröffentlicht in: | Physics of plasmas 2022-02, Vol.29 (2) |
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| container_title | Physics of plasmas |
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| creator | Brizard, Alain J. Markowski, Danielle G. |
| description | The problem of the charged-particle motion in an axisymmetric magnetic-dipole geometry is used to assess the validity of Hamiltonian guiding-center theory, which includes higher-order corrections associated with guiding-center polarization induced by magnetic-field nonuniformity. When a magnetically confined charged-particle orbit is regular (i.e., its guiding-center magnetic moment is adiabatically invariant), the guiding-center approximation, which conserves both energy and azimuthal canonical angular momentum, is shown to be faithful to the particle orbit when guiding-center polarization effects are taken into account. |
| doi_str_mv | 10.1063/5.0078786 |
| format | Article |
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When a magnetically confined charged-particle orbit is regular (i.e., its guiding-center magnetic moment is adiabatically invariant), the guiding-center approximation, which conserves both energy and azimuthal canonical angular momentum, is shown to be faithful to the particle orbit when guiding-center polarization effects are taken into account.</description><identifier>ISSN: 1070-664X</identifier><identifier>EISSN: 1089-7674</identifier><identifier>DOI: 10.1063/5.0078786</identifier><identifier>CODEN: PHPAEN</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Angular momentum ; Approximation ; Magnetic dipoles ; Magnetic moments ; Mathematical analysis ; Nonuniformity ; Particle motion ; Plasma physics ; Polarization</subject><ispartof>Physics of plasmas, 2022-02, Vol.29 (2)</ispartof><rights>Author(s)</rights><rights>2022 Author(s). 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When a magnetically confined charged-particle orbit is regular (i.e., its guiding-center magnetic moment is adiabatically invariant), the guiding-center approximation, which conserves both energy and azimuthal canonical angular momentum, is shown to be faithful to the particle orbit when guiding-center polarization effects are taken into account.</description><subject>Angular momentum</subject><subject>Approximation</subject><subject>Magnetic dipoles</subject><subject>Magnetic moments</subject><subject>Mathematical analysis</subject><subject>Nonuniformity</subject><subject>Particle motion</subject><subject>Plasma physics</subject><subject>Polarization</subject><issn>1070-664X</issn><issn>1089-7674</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kEtLxDAUhYMoOI4u_AcBVwodb5ImaZYy-ILB2Si4C2majhk6bU1Tcf69mcfa1b0HPu495yB0TWBGQLB7PgOQhSzECZoQKFQmhcxPd7uETIj88xxdDMMaAHLBiwl6W7Y4fjn8Yxpf-bjFXb3XqzHJdpVZ10YXsOn70P36jYm-a7FvscEbs2pd9BZXvu8ah2vvmuoSndWmGdzVcU7Rx9Pj-_wlWyyfX-cPi8xSRWMmJS3K0hpWOqoglxUx0irGWUGYUVBZC7SwZTJpGbhScJJLWZPaUaGA8YpN0c3hbrL1Pboh6nU3hja91FTQPGVjXCXq9kDZ0A1DcLXuQ8oQtpqA3tWluT7Wldi7AztYH_cx_4H_ACBCaPI</recordid><startdate>202202</startdate><enddate>202202</enddate><creator>Brizard, Alain J.</creator><creator>Markowski, Danielle G.</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/0000-0002-0192-6273</orcidid></search><sort><creationdate>202202</creationdate><title>On the validity of the guiding-center approximation in a magnetic dipole field</title><author>Brizard, Alain J. ; Markowski, Danielle G.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c292t-7728bbca3be29047d1a7c9353813a90dcc028cb004c30eb651477f1fe269035d3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Angular momentum</topic><topic>Approximation</topic><topic>Magnetic dipoles</topic><topic>Magnetic moments</topic><topic>Mathematical analysis</topic><topic>Nonuniformity</topic><topic>Particle motion</topic><topic>Plasma physics</topic><topic>Polarization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Brizard, Alain J.</creatorcontrib><creatorcontrib>Markowski, Danielle G.</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>Brizard, Alain J.</au><au>Markowski, Danielle G.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the validity of the guiding-center approximation in a magnetic dipole field</atitle><jtitle>Physics of plasmas</jtitle><date>2022-02</date><risdate>2022</risdate><volume>29</volume><issue>2</issue><issn>1070-664X</issn><eissn>1089-7674</eissn><coden>PHPAEN</coden><abstract>The problem of the charged-particle motion in an axisymmetric magnetic-dipole geometry is used to assess the validity of Hamiltonian guiding-center theory, which includes higher-order corrections associated with guiding-center polarization induced by magnetic-field nonuniformity. 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| fulltext | fulltext |
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| ispartof | Physics of plasmas, 2022-02, Vol.29 (2) |
| issn | 1070-664X 1089-7674 |
| language | eng |
| recordid | cdi_crossref_primary_10_1063_5_0078786 |
| source | AIP Journals Complete; Alma/SFX Local Collection |
| subjects | Angular momentum Approximation Magnetic dipoles Magnetic moments Mathematical analysis Nonuniformity Particle motion Plasma physics Polarization |
| title | On the validity of the guiding-center approximation in a magnetic dipole field |
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