Solar Physics

, Volume 133, Issue 2, pp 357–369 | Cite as

Solar flares, microflares, nanoflares, and coronal heating

  • H. S. Hudson


Solar flare occurrence follows a power-law distribution against total flare energy W: dN/dWW−α with an index α ∼ 1.8 as determined by several studies. This implies (a) that microflares must have a different, steeper distribution if they are energetically significant, and (b) there must be a high-energy cutoff of the observed distribution. We identify the distinct ‘soft’ distribution needed for coronal heating, if such a distribution exists, with Parker's nanoflares.


Flare Solar Flare Coronal Heating Flare Energy Steep Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Ambruster, C., Sciortino, S., and Golub, L.: 1987, Astrophys. J. Suppl. 65, 273.Google Scholar
  2. Athay, R. G.: 1984, Solar Phys. 93, 123.Google Scholar
  3. Athay, R. G.: 1990, personal communication.Google Scholar
  4. Boldt, E., Holt, S., Rothschild, R., and Serlemitsos, P.: 1975, in D. Venkatesan (ed.), International Conference on X-Rays in Space, University of Calgary, Calgary, p. 69.Google Scholar
  5. Brueckner, G. E. and Bartoe, J.-D. F.: 1983, Astrophys. J. 272, 329.Google Scholar
  6. Butler, C. J., Rodonò, M., Foing, B. H., and Haisch, B. M.: 1986, Nature 321, 679.Google Scholar
  7. Canfield, R. C. and Metcalf, T.: 1987, Astrophys. J. 321, 586.Google Scholar
  8. Collura, A., Pasquini, L., and Schmitt, J. H. M. W.: 1988, Astron. Astrophys. 205, 197.Google Scholar
  9. Collura, A., Maggio, A., Sciortino, S., Serio, S., Vaiana, G. S., and Rosner, R.: 1987, Astrophys. J. 315, 340.Google Scholar
  10. Datlowe, D., Elcan, M., and Hudson, H.: 1972, Solar Phys. 39, 155.Google Scholar
  11. Dennis, B.: 1985, Solar Phys. 100, 465.Google Scholar
  12. Drake, J. F.: 1971, Solar Phys. 16, 152.Google Scholar
  13. Forrest, D. J., Chupp, E. L., Ryan, J. M., Cherry, M. L., Gleske, I. U., Reppin, C., Pinkau, K., Rieger, E., Kanbach, G., Kinzer, R. L., Share, G., Johnson, W. N., and Kurfess, J. D.: 1980, Solar Phys. 65, 15.Google Scholar
  14. Haisch, B. M.: 1969, Astron. Astrophys. 219, 317.Google Scholar
  15. Hudson, H. S.: 1978, Solar Phys. 57, 237.Google Scholar
  16. Hudson, H. S.: 1982, in R. Lingenfelter et al. (eds.), ‘Gamma Ray Transients and Related Astrophysical Phenomena’, AIP Conference Proceedings, Vol. 77, p. 383.Google Scholar
  17. Kahler, S.: 1982, J. Geophys. Res. 87, 3439.Google Scholar
  18. Kakinuma, T., Yamashita, T., and Enome, S.: 1969, Proc. Res. Inst. Atmospherics, Nagoya Univ. 16, 127.Google Scholar
  19. Kane, S. R. and Donnelly, R. F.: 1971, Astrophys. J. 164, 151.Google Scholar
  20. Kaufmann, P., Strauss, F. M., Opher, R., and Laporte, C.: 1980, Astron. Astrophys. 87, 58.Google Scholar
  21. Kreplin, R. W., Dere, K. P., Horan, D. M., and Meekins, J. F.: 1977, in O. R. White (ed.), The Solar Output and its Variation, Colorado, p. 287.Google Scholar
  22. Lin, R. P., Schwartz, R. A., Kane, S. R., Pelling, R. M., and Hurley, K.: 1984, Astrophys. J. 283, 421.Google Scholar
  23. Lingenfelter, R. E. and Hudson, H. S.: 1980, in R. O. Pepin, J. A. Eddy, and R. B. Merrill (eds.), Proc. Conf. Ancient Sun, Pergamon, London.Google Scholar
  24. Lites, B. and Hansen, E. R.: 1977, Solar Phys. 55, 347.Google Scholar
  25. Loran, J. M., Brown, J. C., Correia, E., and Kaufmann, P.: 1985, Solar Phys. 97, 363.Google Scholar
  26. Mewe, R.: 1972, Solar Phys. 22, 459.Google Scholar
  27. Ogawara, Y.: 1988, Adv. Space Res. 8(11), 87.Google Scholar
  28. Parker, E. N.: 1983, Astrophys. J. 264, 642.Google Scholar
  29. Parker, E. N.: 1988, Astrophys. J. 330, 474.Google Scholar
  30. Porter, J. G., Toomre, J., and Gebbie, K. B.: 1984, Astrophys. J. 283, 789.Google Scholar
  31. Porter, J. G., Moore, R., Reichmann, E. J., Engvold, O., and Harvey, K. L.: 1987, Astrophys. J. 323, 380.Google Scholar
  32. Rothschild, R.: 1977, in H. Ögelman and R. Rothschild (eds.), Recognition of Compact Astrophysical Objects, NASA SP-421, p. 125.Google Scholar
  33. Schadee, A., de Jager, C., and Švestka, Z.: 1983, Solar Phys. 89, 287.Google Scholar
  34. Shakhovskaya, N. I.: 1989, Solar Phys. 121, 375.Google Scholar
  35. Thomas, R. and Teske, R.: 1971, Solar Phys. 16, 431.Google Scholar
  36. Vaiana, G. and Rosner, R.: 1978, Ann. Rev. Astron. Astrophys. 16, 393.Google Scholar
  37. van Beek, H. F., de Feiler, L., and de Jager, C.: 1974, Adv. Space Res. XIV, 447.Google Scholar
  38. van Hollebeke, M. A. I., MaSung, L., and McDonald, F. B.: 1975, Solar Phys. 41, 189.Google Scholar
  39. Wagner, W. J.: 1988, Adv. Space Res. 8(7), 67.Google Scholar
  40. Wu, S. T. and 20 co-authors: 1986, in M. Kundu and B. Woodgate (eds.), Energetic Phenomena on the Sun, NASA CP-2439, p. 5-i.Google Scholar

Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • H. S. Hudson
    • 1
  1. 1.Center for Astrophysics and Space Science, University of CaliforniaSan Diego, La JollaU.S.A.

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