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dc.contributor.authorAllanson, Oliver Douglas
dc.contributor.authorNeukirch, Thomas
dc.contributor.authorWilson, Fiona
dc.contributor.authorTroscheit, Sascha
dc.identifier.citationAllanson , 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 .
dc.identifier.otherPURE: 223892201
dc.identifier.otherPURE UUID: 9a1ea617-ba7e-41cd-84d5-55f4ee6cbf9a
dc.identifier.otherScopus: 84945949665
dc.identifier.otherORCID: /0000-0002-7597-4980/work/34032282
dc.identifier.otherWOS: 000364403600032
dc.descriptionFunding: 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.abstractWe 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.relation.ispartofPhysics of Plasmasen
dc.rightsCopyright 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License.en
dc.subjectQC Physicsen
dc.titleAn exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma betaen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews.Applied Mathematicsen
dc.contributor.institutionUniversity of St Andrews.School of Mathematics and Statisticsen
dc.contributor.institutionUniversity of St Andrews.Pure Mathematicsen
dc.description.statusPeer revieweden

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