Abstract
We employ fractal analysis to study the complexity of supergranulation structure using the Solar and Heliospheric Observatory (SOHO) dopplergrams. Our data consists of 200 visually selected supergranular cells, for which we find a broad, slightly asymmetric dispersion in the size distribution, with the most probable size around 31.9 Mm. From the area–perimeter relation, we deduce a fractal dimension D of about 1.25. This is consistent with that for isobars, and suggests a possible turbulent origin of supergranulation. By relating this to the variances of kinetic energy, temperature and pressure, it is concluded that the supergranular network is close to being isobaric and that it has a possible turbulent origin.
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References
Batchelor, G. K.: 1953, The Theory of Homogeneous Turbulence, Cambridge University Press, Cambridge.
Berrilli, F., Florio, A., and Ermolli, I.: 1998, Solar Phys. 180, 29.
Berrilli, F., Ermolli, I., Florio, A., and Pietropaolo, E.: 1999, Astron. Astrophys. 344, 965.
Berrilli, F., Del Moro, D., Consolini, G., Pietropaolo, E., Duvall, T. L., Jr., and Kosovichev, A. G.: 2004, Solar Phys. 221, 33.
Brown, J. D.: 1996, Testing in Language Programs, Prentice-Hall, Upper Saddle River, NJ.
Chandrasekhar, S.: 1961, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford.
Del Moro, D., Berrilli, F., Duvall, T. L., Jr., and Kosovichev, A. G.: 2004, Solar Phys. 221, 23.
Greimel, R., Brandt, P. N., Guenther, E., and Mattig, W.: 1990, Vistas Astron. 33, 413.
Hirzberger, J., Vázquez, M., Bonet, J. A., Hanslmeier, A., and Sobotka, M.: 1997, Astrophys. J. 480, 406.
Janssen, K., Vögler, A., and Kneer, F.: 2003, Astron. Astrophys. 409, 1127.
Karpinsky, V. N.: 1990, in J. O. Stenflo (ed.), Solar Photosphere: Structure, Convection and Magnetic Fields, Proc. IAU Symposium 138, 67.
Keil, S., Kuhn, J., Lin, H., and Reardon, K.: 1994, in D. M. Rabin, J. T. Jefferies and C. Lindsey (eds.), Infrared Solar Physics, Proc. IAU Symposium 154, 251.
Krishan, V., Paniveni, U., Singh, J., and Srikanth, R.: 2002, MNRAS 334(1), 230.
Lawrence, J. K., Ruzmaikin, A. A., and Cadavid, A. C.: 1993, Astrophys. J. 417, 805.
Lisle, J. P., Rast, M. P., and Toomre, J.: 2004, Astrophys. J. 608, 1167.
Mandelbrot, B.: 1977, Fractals, Freeman, San Francisco.
Mandelbrot, B.: 1975, J. Fluid Mech. 72(Part 2), 401.
Meunier, N.: 1999, Astrophys. J. 515, 801.
Meunier, N.: 2004, Astron. Astrophys. 420, 333.
Nesme-Ribes, E., Meunier, N., and Collin, B.: 1996, Astron. Astrophys. 308, 213.
Noyes, R. W.: 1982, The Sun, Our Star, Harvard University Press, Cambridge.
Paniveni, U., Krishan, V., Singh, J., and Srikanth, R., 2004, MNRAS 347, 1279.
Raju, K. P., Srikanth, R., and Singh, J.: 1998, Solar Phys. 180, 47.
Rast, M. P.: 2003, Astrophys. J. 597, 1200.
Rast, M. P., Lisle, J. P., and Toomre, J.: 2004, Astrophys. J. 608, 1156.
Roudier, Th. and Muller, R.: 1987, Solar Phys. 107, 11.
Scherrer, P. H., Bogart, R. S., Bush, R. J., Hoekserna, J. T., Kosovichev, A. G., Schou, J., et al.: 1995, Solar Phys. 162, 129.
Singh, J. and Bappu, M. K. V.: 1981, Solar Phys. 71, 161.
Singh, J., Nagabhushana, B. S., Babu, G. S. D., and Wahab Uddin: 1994, Solar Phys., 153, 157.
Srikanth, R., 1999, Chapter 3, Ph.D. thesis, Indian Institute of Science.
Srikanth, R., Raju, K. P., and Singh, J.: 1999, Solar Phys. 184, 267.
Srikanth, R., Raju, K. P., and Singh, J.: 2000, Astrophys. J. 534, 1008.
Srikanth, R., Singh, J., and Raju, K. P.: 1999, Solar Phys. 187, 1.
Stenflo, J. O. and Holzreuter, R.: 2003a, in A. A. Pevtsov and H. Uitenbroek (eds.), Current Theoretical Models and Future High Resolution Solar Observations: Preparing for ATST, ASP Conference Series 286, 169.
Stenflo, J. O. and Holzreuter, R.: 2003b, Astron. Nachr. 324, 397.
Sýkora, J.: 1970, Solar Phys. 13, 292.
Tarbell, T. D., Ferguson, S., Frank, Z., Shine, R., Title, A., Topka, K. P., and Scharveer, G.: 1990, in J. O. Stenflo (ed.), Solar Photosphere: Structure, Convection, and Magnetic Fields, Kluwer Academic Publisher, Dordrecht, Holland, IAU Symp. 138, 147.
Tennekes, H. and Lumley, J. L.: 1970, A First Course in Turbulence, MIT Press, Cambridge.
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Paniveni, U., Krishan, V., Singh, J. et al. On the Fractal Structure of Solar Supergranulation. Sol Phys 231, 1–10 (2005). https://doi.org/10.1007/s11207-005-1591-7
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DOI: https://doi.org/10.1007/s11207-005-1591-7