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dc.contributor.authorAllanson, Oliver Douglas
dc.contributor.authorWilson, Fiona
dc.contributor.authorNeukirch, Thomas
dc.identifier.citationAllanson , O D , Wilson , F & Neukirch , T 2016 , ' Neutral and non-neutral collisionless plasma equilibria for twisted flux tubes : the Gold-Hoyle model in a background field ' , Physics of Plasmas , vol. 23 , no. 9 , 092106 .
dc.identifier.otherPURE: 245443802
dc.identifier.otherPURE UUID: 094970c7-670b-4015-9da3-771db02ae9b5
dc.identifier.otherScopus: 84988447982
dc.identifier.otherORCID: /0000-0002-7597-4980/work/34032274
dc.identifier.otherWOS: 000385633200011
dc.descriptionThe authors gratefully acknowledge the support of the Science and Technology Facilities Council Consolidated Grants ST/K000950/1 and ST/N000609/1, as well as Doctoral Training Grant ST/K502327/1. We also gratefully acknowledge funding from Leverhulme Trust Research Project Grant F/00268/BB.en
dc.description.abstractWe calculate exact one-dimensional collisionless plasma equilibria for a continuum of flux tube models, for which the total magnetic field is made up of the `force-free' Gold-Hoyle magnetic flux tube embedded in a uniform and anti-parallel background magnetic field. For a sufficiently weak background magnetic field, the axial component of the total magnetic field reverses at some finite radius. The presence of the background magnetic field means that the total system is not exactly force-free, but by reducing its magnitude the departure from force-free can be made as small as desired. The distribution function for each species is a function of the three constants of motion; namely the Hamiltonian and the canonical momenta in the axial and azimuthal directions. Poisson's Equation and Amp ere's Law are solved exactly, and the solution allows either electrically neutral or non-neutral configurations, depending on the values of the bulk ion and electron flows. These equilibria have possible applications in various solar, space and astrophysical contexts, as well as in the laboratory.
dc.relation.ispartofPhysics of Plasmasen
dc.rightsCopyright 2016 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (
dc.subjectQA Mathematicsen
dc.subjectQB Astronomyen
dc.subjectQC Physicsen
dc.titleNeutral and non-neutral collisionless plasma equilibria for twisted flux tubes : the Gold-Hoyle model in a background fielden
dc.typeJournal articleen
dc.contributor.sponsorScience & Technology Facilities Councilen
dc.contributor.sponsorScience & Technology Facilities Councilen
dc.contributor.sponsorThe Leverhulme Trusten
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.contributor.institutionUniversity of St Andrews. School of Mathematics and Statisticsen
dc.description.statusPeer revieweden

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