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dc.contributor.authorWilson, Fiona
dc.contributor.authorNeukirch, Thomas
dc.contributor.authorAllanson, Oliver Douglas
dc.identifier.citationWilson , F , Neukirch , T & Allanson , O D 2017 , ' Force-free collisionless current sheet models with non-uniform temperature and density profiles ' , Physics of Plasmas , vol. 24 , no. 9 , 092105 .
dc.identifier.otherPURE: 250642054
dc.identifier.otherPURE UUID: dd07f286-160b-4199-9d5e-3924db9964ac
dc.identifier.otherScopus: 85027703766
dc.identifier.otherORCID: /0000-0002-7597-4980/work/36106394
dc.descriptionThe authors acknowledge the support of the Science and Technology Facilities Council via the consolidated grants ST/K000950/1 and ST/N000609/1 and the doctoral training grant ST/K502327/1 (O. A.), and the Natural Environment Research Council via grant no. NE/P017274/1 (Rad-Sat) (O. A.). F. W. and T. N. would also like to thank the University of St Andrews for general financial supporten
dc.description.abstractWe present a class of one-dimensional, strictly neutral, Vlasov-Maxwell equilibrium distribution functions for force-free current sheets, with magnetic fields defined in terms of Jacobian elliptic functions, extending the results of Abraham-Shrauner48 to allow for non-uniform density and temperature pro les. To achieve this, we use an approach previously applied to the force-free Harris sheet by Kolotkov et al.49. In one limit of the parameters, we recover the model of Kolotkov et al.49, while another limit gives a linear force-free field. We discuss conditions on the parameters such that the distribution functions are always positive, and give expressions for the pressure, density, temperature and bulk- ow velocities of the equilibrium, discussing differences from previous models. We also present some illustrative plots of the distribution function in velocity space.
dc.relation.ispartofPhysics of Plasmasen
dc.rightsCopyright 2017 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license ( []en
dc.subjectQA Mathematicsen
dc.subjectQC Physicsen
dc.titleForce-free collisionless current sheet models with non-uniform temperature and density profilesen
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.description.statusPeer revieweden

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