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A model of diffusion produced by a cellular surface flow

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Abstract

A model of diffusion induced by the joint action of random cells of two different sizes (granulation and supergranulation) is developed. The basic properties of the model are defined by the dimensionless ratio ζ = (the life time)/(characteristic size/velocity) constructed for these two types of cells. An analytical expression for the diffusivity as a function of ζ is derived. It is estimated that for the standard parameters used the contribution of granulation to the joint diffusion is small. A comparison between the model and numerical simulations of the kinematic diffusion of magnetic fields on the solar surface is made.

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References

  • Berger, T. E. and Title, A.: 1996, Astrophys. J. 463, 365.

    Google Scholar 

  • Feller, W.: 1971, An Introduction to Probability Theory and Its Applications, John Wiley and Sons, New York.

    Google Scholar 

  • Leighton, R. B.: 1964, Astrophys. J. 140, 1547.

    Google Scholar 

  • Mosher, J. M.: 1977, Ph.D. Thesis, California Inst. of Tech., Pasadena.

  • Muller, R.: 1989, in R. J. Rutten and G. Severino (eds.), Solar and Stellar Granulation, Kluwer Academic Publishers, Dordrecht, Dordrecht.

    Google Scholar 

  • Parker, E. N.: 1979, Cosmic Magnetic Fields, Oxford University Press, Oxford.

    Google Scholar 

  • Ruzmaikin, A., Cadavid, A. C., Chapman, G. A., Lawrence, J. K., and Walton, S. R.: 1996, in J. T. Hoeksema et al.(eds), Proceedings 4. SOHO Workshop Helioseismology, Vol. 2, p. 249.

  • Schrijver, C. J. and Martin, S. F.: 1989, Solar Phys. 129, 95.

    Google Scholar 

  • Simon, G. W. and Weiss, N. O.: 1988, Astrophys. J. 345, 1060.

    Google Scholar 

  • Simon, G. W., Title, A. M., and Weiss, N. O.: 1995, Astrophys. J. 442, 886.

    Google Scholar 

  • Simon, G. W., Title, A., Topka, K. P., Tarbell, T. D., Shine, R. A., and Ferguson, S. H.: 1988, Astrophys. J. 327, 964.

    Google Scholar 

  • Smithson, R. C.: 1973, Solar Phys. 29, 365.

    Google Scholar 

  • Spruit, H. C., Nordlund, A., and Title, A.: 1994, Ann. Rev. Astron. Astrophys. 28, 263.

    Google Scholar 

  • Wang, H.: 1988, Solar Phys. 117, 343.

    Google Scholar 

  • Wang, Y.-M. and Sheeley, N. R., Jr.: 1993, Astrophys. J. 414, 916.

    Google Scholar 

  • Zeldovich, Ya. B., Ruzmaikin, A. A., and Sokoloff, D. D.: 1983, Magnetic Fields in Astrophysics, Gordon and Breach, London.

    Google Scholar 

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Authors and Affiliations

  1. Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, 91109, U.S.A

    Alexander Ruzmaikin

  2. Department of Mathematics, University of North Carolina, Charlotte, NC, 28105, U.S.A

    Stanislav A. Molchanov

Authors
  1. Alexander Ruzmaikin
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  2. Stanislav A. Molchanov
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Ruzmaikin, A., Molchanov, S.A. A model of diffusion produced by a cellular surface flow. Solar Physics 173, 223–231 (1997). https://doi.org/10.1023/A:1004986908972

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