Exact three‐dimensional volume current solutions of the magnetohydrodynamic (MHD) equations are presented. The configurations are infinitely extended along a straight axis and have neither cylindrical nor helical nor mirror symmetry. All field lines lie in planes orthogonal to the axis and are closed around it. The surfaces of constant pressure have elliptical cross sections, whose ellipticity and orientation are arbitrary functions along the axis.
REFERENCES
1.
2.
H. Grad and H. Rubin, Proceedings of the 2nd United Nations Conference on the Peaceful Uses of Atomic Energy, Geneva 1958, edited by United Nations (United Nations Publication, Geneva, 1958), Vol. 31, p. 190;
3.
G. Bateman, MHD Instabilities (MIT Press, Cambridge, MA, 1978), p. 70.
4.
5.
V. D. Shafranov, in Reviews of Plasma Physics, edited by M. A. Leontovich (Consultants Bureau, New York, 1970), Vol. 2, p. 103;
6.
7.
8.
9.
D.
Lortz
, W.
Lotz
, J.
Nührenberg
, and F.
Cap
, Z. Naturforschung Teil A
36
, 144
(1981
).10.
11.
12.
13.
L. S. Solovev and V. D. Shafranov, in Ref. 5, Vol. 5, p. 1.
14.
This content is only available via PDF.
© 1995 American Institute of Physics.
1995
American Institute of Physics
You do not currently have access to this content.