No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
An exact collisionless equilibrium for the Force-Free Harris Sheet with low plasma beta
2. G. Marsh, Force-Free Magnetic Fields: Solutions, Topology and Applications ( World Scientific, Singapore, 1996).
5. K. Schindler, Physics of Space Plasma Activity ( Cambridge University Press, Cambridge, UK, 2007).
6. E. Priest and T. Forbes, Magnetic Reconnection ( Cambridge University Press, Cambridge, UK, 2000).
10. O. Allanson
, T. Neukirch
, S. Troscheit
, and F. Wilson
, “ Particular solutions of the inverse problem for 1D Vlasov-Maxwell equilibria using Hermite polynomials
29. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists, 5th ed. ( Harcourt/Academic Press, Burlington, MA, 2001).
32. R. Fitzpatrick, Plasma Physics: An Introduction ( CRC Press, Taylor & Francis Group, 2014).
33. G. G. Howes, S. C. Cowley, W. Dorland, G. W. Hammett, E. Quataert, and A. A. Schekochihin, Astrophys. J. 651, 590 (2006).
37. P. M. Morse and H. Feshbach, Methods of Theoretical Physics ( McGraw-Hill Book Co., 1953), Vol. 2.
Article metrics loading...
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.
Full text loading...
Most read this month