Abstract
The behavior of adiabatically slow deformations of the force-free field is investigated. Using the linear approximation it is shown that for a rather wide class of boundary perturbations of one-dimensional force-free field there appear singular magnetic force lines or surfaces. Hence the problem of quasi-steady deformation of frozen-in magnetic field has no solution. Relating to the problem of magnetic field in the solar corona it means that there will appear discontinuities (current sheets), when the magnetic field is deformed, for example, due to photospheric motion.
Similar content being viewed by others
References
Barnes, C. W. and Sturrock, P. A.: 1972, Astrophys. J. 174, 659.
Cross, M. A. and Van Hoven, G.: 1971, Phys. Rev. A4, 2347.
Furth, H. P., Killen, I., and Rosenbluth, M. N.: 1963, Phys. Fluids 6, 459.
Jockers, K.: 1978, Solar Phys. 56, 37.
Low, B. C.: 1977, Astrophys. J. 212, 234.
Morozov, A. I. and Solovyev, A. S.: 1963, in M. A. Leontovich (ed.), Voprosy Teorii plasmy 2, 26, Moscow; Engl. translation: Rev. Plasma Phys. 2, 26, New York, 1966.
Somov, B. V. and Syrovatskii, S. I.: 1974, Trudy fiz. inst. im. Lebedeva 74, 14.
Syrovatskii, S. I.: 1977a, Soviet Physics, Lebedev Institute Report No. 5, p. 11, Allerton Press Inc., New York.
Syrovatskii, S. I.: 1977b, Bull. Acad. Sci. USSR (Izv. Akad. Nauk SSSR, ser. fiz. 41, 1782), Allerton Press Inc., New York.
Syrovatskii, S. I.: 1978, Solar Phys. 58, 411.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Bobrova, N.A., Syrovatskii, S.I. Singular lines of one-dimensional force-free magnetic field. Sol Phys 61, 379–387 (1979). https://doi.org/10.1007/BF00150421
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF00150421