Abstract
The theoretical power spectrum of velocity fields and flux fluctuations at the solar photosphere is calculated using a quasi-nonlinear framework of superposition of unstable convective eigenmodes excited in the solar convection zone. It is demonstrated that this power spectrum exhibits at least three distinct peaks corresponding to granulation, mesogranulation and supergranulation. The vertical velocity and the brightness fluctuation at the solar surface are found to be correlated. The theoretical framework can be adopted for application to other types of stars in order to predict the dominant length scales in the power spectrum of convection in these stars.
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Alexander, D. R.: 1975,Astrophys. J. Suppl. 29, 363.
Antia, H. M.: 1979,J. Comp. Phys. 30, 283.
Antia, H. M. and Pandey, S. K.: 1989,Astrophys. J. 341, 1097.
Antia, H. M., Chitre, S. M., and Narasimha, D.: 1983,Monthly Notices Roy. Astron. Soc. 204, 865.
Antia, H. M., Chitre, S. M., and Narasimha, D.: 1984,Astrophys. J. 282, 574.
Antia, H. M., Chitre, S. M., and Pandey, S. K.: 1981,Solar Phys. 70, 67.
Beckers, J. M.: 1968,Solar Phys. 5, 309.
Beckers, J. M.: 1981, in S. Jordan (ed.),The Sun as a Star, NASA SP-450, p. 11.
Beckers, J. M. and Canfield, R. C.: 1976, in R. Cayrel and M. Steinberg (eds.),Physique des mouvements dans les atmosphöres stellaires, Colloques Internationaux du C.N.R.S., No. 250, p. 207.
Böhm, K. H.: 1963,Astrophys. J. 137, 881.
Bogart, R. S. Gierasch, P. J., and Macauslan, J. M.: 1980,Astrophys. J. 236, 285.
Bumba, V.: 1970,Solar Phys. 14, 80.
Chan, K. L. and Sofia, S.: 1986,Astrophys. J. 307, 222.
Chou, D.-Y., LaBonte, B. J., Braun, D. C., and Duvall, T. L.: 1991,Astrophys. J. 372, 314.
Cox, A. N. and Tabor, J. E.: 1976,Astrophys. J. Suppl. 31, 271.
Christensen-Dalsgaard, J. and Frandsen, S.: 1983,Solar Phys. 82, 469.
Deubner, F.-L.: 1989,Astron. Astrophys. 216, 259.
Ginet, G. P. and Simon, G. W.: 1992,Astrophys. J. 386, 359.
Giovanelli, R. G.: 1980,Solar Phys. 67, 211.
Gough, D. O. and Weiss, N. O.: 1976,Monthly Notices Roy. Astron. Soc. 176, 589.
Hart, A. B.: 1956,Monthly Notices Roy. Astron. Soc. 116, 38.
Hart, M. H.: 1973,Astrophys. J. 184, 587.
Hill, F., Deubner, F.-L., Isaak, G.: 1991, in A. N. Cox, W. C. Livingston, and M. S. Matthews (eds.),Solar Interior and Atmosphere, University of Arizona Press, Tucson, p. 329.
Howard, R.: 1971,Solar Phys. 16, 21.
Howard, R. and LaBonte, B. J.: 1980,Astrophys. J. 239, 738.
Musman, S. and Rust, D. M.: 1970,Solar Phys. 13, 261.
Narasimha, D. and Antia, H. M.: 1982,Astrophys. J. 262, 358.
November, L. J. and Simon, G. W.: 1988,Astrophys. J. 333, 427.
November, L. J., Toomre, J., Gebbie, K. B., and Simon, G. W.: 1981,Astrophys. J. 245, L123.
Roudier, T., Muller, R., Mein, P., Vigneau, J., Malherbe, J. M., and Espagnet, O.: 1991,Astron. Astrophys. 248, 245.
Schröter, E. H.: 1985,Solar Phys. 100, 141.
Shaviv, G. and Chitre, S. M.: 1968,Monthly Notices Roy. Astron. Soc. 140, 61.
Simon, G. W. and Leighton, R. B.: 1964,Astrophys. J. 140, 1120.
Simon, G. W. and Weiss, N. O.: 1968,Z. Astrophys. 69, 435.
Stein, R. F. and Nordlund, Å.: 1989,Astrophys. J. 342, L95.
Title, A. M., Tarbell, T. D., Simon, G. W. and the SOUP Team: 1986,Adv. Space Res. 6, No. 8, 253.
Unno, W. and Spiegel, E. A.: 1966,Publ. Astron. Soc. Japan 18, 85.
Vernazza, J. E., Avrett, E. H., and Loeser, R.: 1976,Astrophys. J. Suppl. 30, 1.
Wang, H. and Zirin, H.: 1989,Solar Phys. 120, 1.
Worden, S. P. and Simon, G. W.: 1976,Solar Phys. 46, 73.
Zahn, J.-P.: 1987, in E. H. Schröter and Schüssler (eds.),Solar and Stellar Physics, p. 55.
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Antia, H.M., Chitre, S.M. Discrete cellular scales of solar convection. Sol Phys 145, 227–239 (1993). https://doi.org/10.1007/BF00690653
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DOI: https://doi.org/10.1007/BF00690653