Abstract
A class of exact two-dimensional kinetic current sheet equilibria
Institute for Physical Science and Technology, University of Maryland, College Park, Maryland, USA
Johns Hopkins University Applied Physics Laboratory, Laurel, Maryland, USA
The present paper discusses a class of exact two-dimensional kinetic current sheet equilibria. The general solution to the
two-dimensional Grad-Shafranov equation was first obtained by Walker in 1915 in terms of the generating function g(ζ) (ζ = X + iZ), where X and Z are two dimensionless spatial coordinates. There are infinite choices of g(ζ), but not every solution yields physically meaningful or mathematically useful form. The known solutions to date with geophysical
application include those by
Received 27 October 2003; accepted 19 October 2004; published 7 January 2005.
Citation: (2005), A class of exact two-dimensional kinetic current sheet equilibria, J. Geophys. Res., 110, A01202, doi:10.1029/2003JA010308.
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