Skip to main content
Log in

Asymptotic properties of disk dynamo

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ivanova, T. S. and Ruzmaikin, A. A.: 1977,Astron. J. (USSR) 54, 846.

    Google Scholar 

  • 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.

    Google Scholar 

  • Ruzmaikin, A. A., Sokoloff, D. D., and Shukurov, A. M.: 1980,Magnitnaya gidrodynamica 1, 20.

    Google Scholar 

  • Stix, M.: 1976, in V. Bumba and J. Kleczek (eds.), ‘Basic Mechanisms of Solar Activity’,IAU Symp. 71, 367.

    Google Scholar 

  • Tikhanov, A. N.: 1948,Math. Colln. 22, 193.

    Google Scholar 

  • Tikhanov, A. N.: 1952,Math. Colln. 27, 147.

    Google Scholar 

  • 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.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00649143

Keywords

Navigation