A toroidal symmetric, self-similar MHD 3-D solution to the isotropic evolution in time of plasma and electromagnetic field
Abstract
A toroidal symmetric, self-similar MHD 3-D solution to the isotropic evolution in time of plasma and electromagnetic field Daniel B. Berdichevsky Nature offers a variety of examples of the evolution of plasma (mass) and frozen-in magnetic field. In the heliosphere we have in-situ observations of magnetic field carried from quiet and active regions of the sun by the solar wind. (This is plasma, carrying magnetic and electric field, propagating approximately radially, away from the sun.) In addition there are sudden ejection of large amount of mass embedded in a magnetic field structure of strength above the emitted solar wind background. These structures, at 1 AU, often have a measured cross section of about 0.2 AU, and in some cases reach extensions of up to 30° or more in heliolongitude1. There is a limited set of known MHD solutions of interest to this observational problem2, most of them without the inclusion of curvature. In this work we present an exact MHD solution, that adds toroidal curvature to the magnetic force-free MHD solution with cylindrical symmetry of ref. (??). 1Burlaga, LF, J. Geophys. Res, 86, p. 6673, 1981 2Shimazu, H, and Vandas, M, Earth Planet, Sci. J., 54, 783, 2002 Farrugia, CJ, et al, J. Geophys Res, 98, p. 7621, 1993 Vandas, M, et al, J. Geophys Res, 98, p. 21061, 1993 Osherovich, V, Farrugia, CJ, and Burlaga, LF,, J. Geophys Res, 98, p. 13,225, 1993 3Berdichevsky, DB, RP Lepping, and CJ Farrugia, Phys Rev E, 67, 036405, 2003
- Publication:
-
38th COSPAR Scientific Assembly
- Pub Date:
- 2010
- Bibcode:
- 2010cosp...38.1899B