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An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta
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dc.contributor.author | Allanson, Oliver Douglas | |
dc.contributor.author | Neukirch, Thomas | |
dc.contributor.author | Wilson, Fiona | |
dc.contributor.author | Troscheit, Sascha | |
dc.date.accessioned | 2015-10-26T15:10:02Z | |
dc.date.available | 2015-10-26T15:10:02Z | |
dc.date.issued | 2015-10 | |
dc.identifier.citation | Allanson , O D , Neukirch , T , Wilson , F & Troscheit , S 2015 , ' An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta ' , Physics of Plasmas , vol. 22 , no. 10 , 102116 . https://doi.org/10.1063/1.4934611 | en |
dc.identifier.issn | 1070-664X | |
dc.identifier.other | PURE: 223892201 | |
dc.identifier.other | PURE UUID: 9a1ea617-ba7e-41cd-84d5-55f4ee6cbf9a | |
dc.identifier.other | Scopus: 84945949665 | |
dc.identifier.other | ORCID: /0000-0002-7597-4980/work/34032282 | |
dc.identifier.other | WOS: 000364403600032 | |
dc.identifier.uri | https://hdl.handle.net/10023/7691 | |
dc.description | Funding: STFC Consolidated Grant [ST/K000950/1] (OA, TN & FW) and a Doctoral Training Grant [ST/K502327/1] (OA). EPSRC Doctoral Training Grant [EP/K503162/1] (ST). | en |
dc.description.abstract | We present a first discussion and analysis of the physical properties of a new exact collisionless equilibrium for a one-dimensional nonlinear force-free magnetic field, namely, the force-free Harris sheet. The solution allows any value of the plasma beta, and crucially below unity, which previous nonlinear force-free collisionless equilibria could not. The distribution function involves infinite series of Hermite polynomials in the canonical momenta, of which the important mathematical properties of convergence and non-negativity have recently been proven. Plots of the distribution function are presented for the plasma beta modestly below unity, and we compare the shape of the distribution function in two of the velocity directions to a Maxwellian distribution. | |
dc.format.extent | 11 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physics of Plasmas | en |
dc.rights | Copyright 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. | en |
dc.subject | QC Physics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QC | en |
dc.title | An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta | en |
dc.type | Journal article | en |
dc.contributor.sponsor | Science & Technology Facilities Council | en |
dc.contributor.sponsor | The Leverhulme Trust | en |
dc.contributor.sponsor | European Commission | en |
dc.description.version | Publisher PDF | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.contributor.institution | University of St Andrews. School of Mathematics and Statistics | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.identifier.doi | https://doi.org/10.1063/1.4934611 | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | ST/K000950/1 | en |
dc.identifier.grantnumber | en | |
dc.identifier.grantnumber | 284515 | en |
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