Abstract
We present a set of cylindrically-symmetric force-free magnetic fields with non-constant scalar function scalarα. We found that the kink instability of the fields can be suppressed by reducing the length of the flux tube. By using the pressure profile in coronal magnetic loops obtained on the basis of the observational data, and by neglecting the effect of gravity, these force-free fields ars modified to non-force-free ones. For the plasma of finite conductivity the time and space dependent magnetic fields are obtained, and the ohmic dissipation per unit volume per second is calculated. For the magnetic fields, presented in the investigation, it is also found that, due to the large electrical conductivity of the plasma, the ohmic dissipation is negligable in comparison to the conduction and the radiation loss. Hence, for the energy equilibrium in a coronal loop, the contribution of ohmic dissipation is insignificant.
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References
Anzer, U.: 1968a,Solar Physics 3, 298.
Anzer, U.: 1968b,Solar Physics 4, 101.
Barnes, C. W., and Sturrock, P.A.: 1972,Astrophys. J. 174, 659.
Braginskii, S.I.: 1965,Review of Plasma Physics 1, Ed. by Acad. M.A. Leontovich, Consultants Bureau, New York.
Chandra, S.: 1985,Astrophys. Space Sci. 113, 193.
Chandra, S.: 1987,Astrophys. Space Sci. 135, 195.
Chandra, S. and Prasad, L.: 1991,Solar Physics 134, 99.
Chandra, S. and Prasad, L.: 1992,J. Quant. Spectr. Rad. Transfer 47, 533.
Chandra, S. and Prasad, L.: 1993, (in preparation).
Chiuderi, C., Giachetti, R., and van Hoven, G.: 1977,Solar Physics 54, 107
Foukal, P.V.: 1975,Solar Physics 43, 327.
Foukal, P.V.: 1976,Astrophys. J. 210, 575.
Giachetti, R., Van Hoven, G., and Chiuderi, C.: 1977,Solar Physics 55, 371.
Gold, T., and Hoyle, F.: 1960,Monthly Not. Roy. Astr. Soc. 120, 89.
Hasan, S.S.: 1980,Solar Physics 67, 267.
Krishan, V.: 1983,Solar Physics 88, 155.
Krishan, V.: 1984,Kodaikanal Obs. Bull. 4, 43.
Low, B.C.: 1977,Astrophys. J. 212, 234.
Low, B.C. and Nakagawa, Y.: 1975,Astrophys. J. 199, 237.
Nakagawa, Y.: 1973,Astron. Astrophys. 27, 95.
Nakagawa, Y. and Raadu, M.A.: 1972,Solar Physics 25, 127.
Nakagawa, Y., Raadu, M.A., Billings, D.E. and Mc Namara, D.: 1971,Solar Physics 19, 72.
Nakagawa, Y., Raadu, M.A. and Harvey, J.W.: 1973,Solar Physics 30, 421.
Nakagawa, Y. and Tanaka, K.: 1974,Astrophys. J. 190, 711.
Neupert, W.M., Nakagawa, y. and Rust, D.M.: 1975,Solar Physics 43, 359.
Newcomb, W.A.: 1960,Ann. Phys. 10, 232.
Priest, E.R. and Milne, A.M.: 1980,Solar Physics 65, 315.
Raadu, M.A.: 1972,Solar Physics 22, 429.
Seehafer, N.: 1978,Solar Physics 58, 215.
Suydam, B.R.: 1988,Proc. of Second Interference Conference on the Peaceful Uses of Atomic Energy 31, United Nations, Geneva, p. 157.
Tanaka, K. and Nakagawa, Y.: 1973,Solar Physics 33, 187.
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Chandra, S., Prasad, L. A new expression for cylindrically-symmetric magnetic fields in coronal magnetic loops. Astrophys Space Sci 204, 263–281 (1993). https://doi.org/10.1007/BF00658029
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DOI: https://doi.org/10.1007/BF00658029