Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-02T19:13:10.938Z Has data issue: false hasContentIssue false
  • English
  • Français

Fractal Flux Tubes of the Solar Magnetic Field

Published online by Cambridge University Press:  12 April 2016

Alexander Ruzmaikin ,
Dmitry Sokoloff  and
Theodore Tarbell
Alexander Ruzmaikin
Affiliation:
IZMIRAN, Troitsk, Moscow Region 142092, USSR
Dmitry Sokoloff
Affiliation:
Moscow State University, Moscow, USSR
Theodore Tarbell
Affiliation:
Lockheed Palo Alto Research Labs, Palo Alto, CA 94304, USA

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The small-scale solar magnetic field exceeding a given threshold forms a fractal set. A dimension of this fractal is found from magnetograms with varying linear resolution. The dimension depends on the value of the threshold magnetic field (multifractality). A simple dynamo model explaining the origin of the fractal magnetic structure is considered. The dynamo produces a magnetic field in the form of flux tubes with a fractal distribution of magnetic field across the tube. The observed dimension gives a possibility of estimating a degree of structuredness of the solar velocity field.

Type
Part II Current stellar dynamo theory
Information
International Astronomical Union Colloquium , Volume 130: The Sun and Cool Stars: activity, magnetism, dynamos , 1991 , pp. 140 - 146
Copyright
Copyright © Springer-Verlag 1991

References

Galeeva, R., Ruzmaikin, A.A., Sokoloff, D.D.: 1989, Magnitnaya Gidrodinamika No 3, 3 Google Scholar
Finn, J., Ott, E.: 1988, Phys. Rev. Lett. 60, 760 CrossRefGoogle Scholar
Frisch, U.: 1983, in Chaotic Behaviour of Deterministic Systems, Les Houches Session, North Holland Google Scholar
Molchanov, S.A., Ruzmaikin, A.A., Sokoloff, D.D.: 1983, Geophys. Astrophys. Fluid Dyn. 30, 241 Google Scholar
Meneguzzi, M., Frisch, U., Pouquet, A.: 1981, Phys. Rev. Lett. 47, 1060 Google Scholar
Stenflo, J.O.: 1989, Astron. Astrophys. Rev. 1, 3 Google Scholar
Tarbell, T., Ferguson, S., Frank, Z., Shine, R., Title, A., Topka, K.: 1990a, in Solar Photosphere: Structure, Convection and Magnetic Fields, ed. Stenflo, J.O., IAU Symp. No 138, Kluwer Academic Publishers, p. 147 Google Scholar
Tarbell, T., Acton, D.S., Topka, K., Title, A., Schmidt, W., Scharmer, G.: 1990b, submitted to Phys. Fluids Google Scholar
Zeldovich, Ya.B., Ruzmaikin, A.A., Sokoloff, D.D.: 1983, Magnetic Fields in Astrophysics, Gordon and Breach Google Scholar
Zeldovich, Ya.B., Ruzmaikin, A.A., Sokoloff, D.D.: 1990, The Almighty Chance, World Sci. Pub., Singapore CrossRefGoogle Scholar