Abstract
The asymptotic properties of a turbulent disk dynamo at large dimensionless numbersR α andR ω characterizing the helicity and the differential rotation are analysed. Three types of generations in the dependence of the relations betweenR α andR ω are found: α2-dynamo and two types of αω-dynamo. For each of these types the rates of growth are obtained and the forms of solution are pointed out. Boundaries of the disk dynamo approximation are given.
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Ivanova, T. S. and Ruzmaikin, A. A.: 1977,Astron. J. (USSR) 54, 846.
Landau, L. D. and Lifshits, E. M.: 1974,Quantum Mechanics, Moscow.
Maslov, V. P.: 1973,The Operational Methods, Moscow.
Maslov, V. P.: 1977,The Complex WKB Method for the Non-linear Equations, Moscow.
Maslov, V. P. and Fedoriuk, M. V.: 1976,The Quasiclassic Approximation for the Quantum Mechanics Equations, Moscow (in Russian); 1981,Semi-Classical Approximation in Quantum Mechanics, D. Reidel Publ. Co., Dordrecht, Holland (in English).
Moffatt, H. K.: 1978,Magnetic Field Generation in Electrically Conducting Fluids, Cambridge Univ. Press.
Ruzmaikin, A. A., Sokoloff, D. D., Turchaninoff, V. I., and Zel'dovich, Ya. B.; 1979,Astrophys. Space Sci. 66, 369.
Ruzmaikin, A. A., Sokoloff, D. D., and Shukurov, A. M.: 1980,Magnitnaya gidrodynamica 1, 20.
Stix, M.: 1976, in V. Bumba and J. Kleczek (eds.), ‘Basic Mechanisms of Solar Activity’,IAU Symp. 71, 367.
Tikhanov, A. N.: 1948,Math. Colln. 22, 193.
Tikhanov, A. N.: 1952,Math. Colln. 27, 147.
Vasilieva, A. A. and Butuzov, V. F.: 1973,The Asymptotic Expansions of Solutions of Singularly Disturbed Equations, Moscow.
Wasow, W.: 1965,Asymptotic Expansions for Ordinary Differential Equations, New York, London, Sydney.
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Isakov, R.V., Ruzmaikin, A.A., Sokoloff, D.D. et al. Asymptotic properties of disk dynamo. Astrophys Space Sci 80, 145–155 (1981). https://doi.org/10.1007/BF00649143
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DOI: https://doi.org/10.1007/BF00649143