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JOURNAL OF GEOPHYSICAL RESEARCH,
VOL. 110,
A01202,
doi:10.1029/2003JA010308,
2005
A class of exact two-dimensional kinetic current sheet equilibria
Peter H. Yoon
Institute for Physical Science and Technology, University of Maryland, College Park, Maryland, USA
Anthony T. Y. Lui
Johns Hopkins University Applied Physics Laboratory, Laurel, Maryland, USA
Abstract
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
Harris [1962]
,
Fadeev et al. [1965]
,
Kan [1973]
,
Manankova et al. [2000]
, and
Brittnacher and Whipple [2002]
. In this paper, these solutions are reviewed systematically, and several new solutions are proposed. These include a generalization
of the Harris-Fadeev-Kan-Manankova line of model, a model for an isolated X-line alternative to that of Brittnacher-Whipple,
and finally a model which represents an isolated magnetic island.
Received 27
October
2003;
accepted 19
October
2004;
published 7
January
2005.
Keywords: current sheet;
two-dimensional;
kinetic;
exact.
Index Terms: 2764 Magnetospheric Physics: Plasma sheet; 2744 Magnetospheric Physics: Magnetotail; 7827 Space Plasma Physics: Kinetic and MHD theory; 7835 Space Plasma Physics: Magnetic reconnection (2723, 7526).
Read Full Article (file size: 943158 bytes) Cited by
Citation: Yoon, P. H., and A. T. Y. Lui
(2005),
A class of exact two-dimensional kinetic current sheet equilibria,
J. Geophys. Res.,
110,
A01202,
doi:10.1029/2003JA010308.
Copyright 2005 by the American Geophysical Union.
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