Abstract
This paper deals with the conception that two-dimensional turbulence is present in a sunspot where the magnetic field is strong. This conception is based upon the incapacity of even a strong magnetic field to influence an arbitrary two-dimensional turbulence, if the magnetic field is parallel to a constant direction and the motion occurs in planes orthogonal to it. It is, moreover, shown that such a two-dimensional turbulence provides for a turbulent decay of the magnetic field. The decay rate possesses nearly the same dependence on the scales as for three-dimensional turbulence. Finally, the turbulent decay is studied by investigating a simple model and comparing the results with those deduced by Bumba from the observed decay of sunspot groups areas. By means of our conception even a good quantitative agreement is stated.
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References
Bumba, V.: 1963, Bull. Astron. Inst. Czech. 14, 91.
Kit, L. G. and Tsinover, A. B.: 1971, Magnitnaja gidrodinamika 1971/3, 27.
Krause, F.: 1972, Astron. Nachr. 294, 83.
Krause, F. and Rädler, K.-H.: 1971, in R. Rompe and M. Steenbeck (eds.), Ergebnisse der Plasmaphysik und Gaselektronik, Akademieverlag Berlin.
Krause, F. and Roberts, P. H.: 1973a, Astrophys. J. 181, 977.
Krause, F. and Roberts, P. H.: 1973b, Mathematika 20, 24.
Krause, F. and Rüdiger, G.: 1974, Astron. Nachr. 295, 185.
Meyer, F. and Schmidt, H. U.: 1973, Mitt. Astron. Gesells. 32, 173.
Parker, E. N.: 1973, Astrophys. Space Sci. 22, 279.
Rädler, K.-H.: 1968, Z. Naturf. 23a, 1841 und 1851.
Roberts, P. H.: 1971, in W. H. Reid (ed.), Lectures in Applied Mathematics, Vol. 14, American Mathematical Society, New York.
Roberts, P. H. and Stix, M.: 1971, The Turbulent Dynamo, A translation of papers by F. Krause, K.-H. Rädler, and M. Steenbeck, Techn. Note TN/IA-60 from the National Center of Atomspheric Research Boulder.
Rüdiger, G.: 1974, Astron. Nachr. 295, 275.
Steenbeck, M. and Krause, F.: 1969, Astron. Nachr. 291, 49.
Sweet, P. A.: 1950, Monthly Notices Roy. Astron. Soc. 110, 69.
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Krause, F., Rüdiger, G. On the turbulent decay of strong magnetic fields and the development of sunspot areas. Sol Phys 42, 107–119 (1975). https://doi.org/10.1007/BF00153288
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DOI: https://doi.org/10.1007/BF00153288