Force-free collisionless current sheet models with non-uniform temperature and density profiles
MetadataShow full item record
We 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.
Wilson , 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 . DOI: 10.1063/1.4997703
Physics of Plasmas
Copyright 2017 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). [http://dx.doi.org/10.1063/1.4997703]
The 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 support
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.