Abstract
As has been recognized recently, data on size (frequency) distributions for different sets of solar flare parameters are very helpful in modeling flare and acceleration processes. Relying upon a new arising paradigm of particle acceleration at different sources at/near the Sun (flares, shock waves, etc.), in this paper, we analyze long-term data (1955–1996) from several Catalogues of Solar Proton Events (SPEs). Above 1 p.f.u. (proton cm−2 s−1 sr−1) of the >10 MeV protons, we have separated in all 320 events associated with identified sources (flares). Then, within this database of flare-related events, a second group (a subgroup) has been formed of the 159 events, additionally having a certain or probable sudden storm commencement (SSC) association (SSC-related events). The basic result is that the power-law slope of size distribution for the 320 flare-related events at integral energy intensities is about 1.37 ± 0.05 over the entire range of the proton intensities, from 1.0 to 105 p.f.u. This slope is in general agreement with earlier analyses of integral energy distributions, but steeper than that for differential energy distributions. A second result is that the SSC-associated events have a double power-law distribution with two different exponents, near 1.00 ± 0.04 and 1.53 ± 0.03 below and above 103 p.f.u., respectively. The longitude distributions of the proper sources for these two groups display different behaviour suggesting different origins of the two particle populations. A certain difference was also found to exist in the slopes of integral size distributions at >10 MeV and >500 MeV. This may point to a dependence of slope on the proton energy under consideration.
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References
Akinyan, S. T., Bazilevskaya, G. A., Ishkov, V. N. et al. (in all 10 authors): 1983, in Yu. I. Logachev (ed.), Catalogue of Solar Proton Events 1970-1979, IZMIRAN, Moscow, pp. 184.
Aschwanden, M. J., Dennis, B. R., and Benz, A. O.: 1998, Astrophys. J. 497, 972.
Aschwanden, M. J., Dennis, B. R., Schwartz, R. A. et al. (in all 7 authors): 1998, Trans. AGU, Spring Meet. Suppl., 79, S280 (abstract).
Bazilevskaya, G. A. and Sladkova, A. I.: 1997, Proc. 25th Int. Cosmic Ray Conf. 7, 333.
Bazilevskaya, G. A., Vashenyuk, E. V., Ishkov, V.N. et al. (in all 10 authors): 1986, in Yu. I. Logachev (ed.), Catalogue of Energy Spectra of Solar Proton Events 1970-1979, IZMIRAN, Moscow, pp. 235.
Bazilevskaya, G. A., Vashenyuk, E. V., Ishkov, V. N. et al. (in all 10 authors): 1990, in Yu. I. Lo-gachev (ed.), Solar Proton Events 1980-1986 Catalogue, Moscow, WDC-B2, pp. 160 (part I), 204 (part II).
Belovsky, M. N. and Ochelkov, Yu. P.: 1979, Izvestiya AN SSR, Phys. Ser. 43, 749.
Belovsky, M. N., Kurt, V. G., and Ochelkov, Yu. P.: 1979, Soviet Space Res. (Kosmicheskiye Issledovaniya) 17, 906.
Belyakov, S. A., Daibog, E. I., Dyachkov, A. P. et al. (in all 12 authors): 1984, Soviet Space Res. (Kosmicheskiye Issledovaniya) 22, 906.
Cane, H. V., Reames, D. V., and von Rosenvinge, T. T.: 1988, J. Geophys. Res. 93, 9555.
Cliver, E. W.: 1996, in R. Ramaty, N. Mandzhavidze, and X.-M. Xua (eds.), Proc. of High Energy Solar Physics Workshop, Vol. 374, AIP, New York, p. 45.
Cliver, E., Reames, D., Kahler, S., and Cane, H.: 1991, Proc. 22nd Int. Cosmic Ray Conf. 3, 25.
Crosby, N. B., Aschwanden, M. J., and Dennis, B. R.: 1993, Solar Phys. 143, 275.
Daibog, E. I., Kurt, V. G., Logachev, Yu. I., and Stolpovsky, V. G.: 1989, Soviet Space Res. (Kosmicheskiye Issledovaniya) 27, 113.
Dodson, H. W., Hedeman, E. R., Kreplin, R. W. et al. (in all 8 authors): 1975, in Z. Svestka and P. Simon (eds.), Catalogue of Solar Particles Events 1955-1969, D. Reidel Publ. Co., Dordrecht, Holland, p. 430.
Duggal, S. P.: 1979, Rev. Geophys. Space Phys. 17, 1021.
Hudson, H. S.: 1978, Solar Phys. 57, 237.
Kahler, S. W.: 1993, J. Geophys. Res. 98, 5607.
Kahler, S. W.: 1996, in R. Ramaty, N. Mandzhavidze, and X.-M. Xua (eds.), Proc. of High Energy Solar Physics Workshop, Vol. 374, AIP, New York: p. 61.
Kahler, S. W., Shea, M. A., Smart, D. F., and Cliver, E. W.: 1991, Proc. 22nd Int. Cosmic Ray Conf. 3, 21.
Kurt, V. G.: 1989, in B. V. Somov and V. V. Fomichev (eds.), Physics of Solar Activity, Nauka, IZMIRAN, Moscow, p. 127.
Kurt, V. G.: 1990, in E. R. Priest and V. Krishan (eds.), Basic Plasma Processes on the Sun, IAU Symp. 142, 409.
Kuznetsov, S. N. and Kurt, V. G.: 1991, in B. Schmieder and E. Priest (eds.), Flares 22 Workshop, Dynamics of Solar Flares, Observatoire de Paris, Paris, p. 63.
Litvinenko, Y. E.: 1996, Solar Phys. 167, 321.
Litvinenko, Y. E.: 1998,Solar Phys. 180, 393.
Lu, E. T. and Hamilton, R. J.: 1991, Astrophys. J. 380, L89.
Mandzhavidze, N. and Ramaty, R.: 1993, Nucl. Phys. B, Proc. Suppl. 33A,B, 141.
Meléndez-Venancio, R., Mendoza, B., Miroshnichenko, L. I., and Pérez-Enríquez, R.: 1998, in J. Medina (ed.), Rayos Cosmicos 98 (Proc. 16th European Cosmic Ray Symposium),Universidad de Alcalá, Spain, p. 149.
Mendoza, B., Melendez-Venancio, R., Miroshnichenko, L. I., and Pérez-Enríquez, R.: 1997, Proc. 25th Int. Cosmic Ray Conf. 1, 81.
Miller, J. A., Cargill, P. J., Emslie, A. G. et al. (in all 9 authors): 1997, J. Geophys. Res. 102, 14631.
Miroshnichenko, L. I.: 1995, Solar Phys. 156, 119.
Miroshnichenko, L. I., Mendoza, B., and Pérez-Enríquez, R.: 1999, Solar Phys. 186, 381.
Miroshnichenko, L. I., Rogriguez-Frias, M. D., del Peral, L., Perez-Peraza, J., and Vashenyuk, E. V.: 1995, Proc. 24th Int. Cosmic Ray Conf. 4, 54.
Ng, C. K. and Reames, D. V: 1994, Astrophys. J. 424, 1032.
NOAA SESC Solar Proton Events: January 1976-December 1997, Preliminary List: 1998, Solar-Geophysical Data, NOAA, Boulder, Co., No. 641, Part II, pp. 30-34
Nymmik, R. A.: 1999, Proc. 26th Int. Cosmic Ray Conf. 6, 268.
Nymmik, R. A., Panasyuk, M. I., and Suslov, A. A.: 1995, Adv. Space Res. 17, 19.
Potter, D. W., Lin, R. P., and Anderson, K. A.: 1980, Astrophys. J. 236, 497.
Reames, D. V.: 1995, Rev. Geophys. Suppl. 33, 585.
Reames, D. V.: 1996, in R. Ramaty, N. Mandzhavidze and X.-M. Xua (eds.), Proc. of High Energy Solar Physics Workshop, Vol. 374, AIP, New York, p. 35.
Reames, D. V. and Ng, C. K.: 1998, Astrophys. J. 504, 1102.
Reedy, R. C.: 1996, in K. S. Balasubramanian, S. L. Keil, and R. N. Smart (eds.), Solar Drivers of Interplanetary and Terrestrial Disturbances, Astronomical Society of the Pacific, Conference Series 95, 429.
Reiff, P. H.: 1990, J. Geomagn. Geoelectr. 42, 1145.
Rosner, R. and Vaiana, G. S.: 1978, Astrophys. J. 222, 1104.
Shea, M. A. and Smart, D. F.: 1993, Solar-Terrestrial Prediction – IV: Proc. of a Workshop at Ottawa, Canada, May 18–22, 1992 U.S. Department of Commerce, NOAA, SEL, Boulder, Co., Vol. 2, p. 48.
Sladkova, A. I., Bazilevskaya G. A., Ishkov, V. N. et al. (in all 8 authors): 1998, in Yu. I. Logachev (ed.), Catalogue of Solar Proton Events 1987–1996, Moscow University Press, Moscow, pp. 250.
Smart, D. F. and Shea, M. A.: 1989, J Spacecraft Rockets 26, 403.
Smart, D. F. and Shea, M. A.: 1996, Adv. Space Res. 17, 113.
Smart, D. F. and Shea, M. A.: 1997, Solar-Terrestrial Prediction – V: Proc. of a Work-shop at Hitachi, Japan, January 23-27, 1996. RWC Tokyo, Hiraiso Solar Terrestrial Research Center, Japan, p. 449.
Valtonen, E., Kecskemety, K., Kiraly, P., Muller-Mellin, R., Posner, A., and Torsti, J.: 1999, Proc. 26th Int. Cosmic Ray Conf. 6, 220.
van Hollebeke, M. A. I., Ma Sung, L. S., and McDonald, F. B.: 1975, Solar Phys. 41, 189.
Wheatland, M. S., and Sturrock, P. A.: 1996, Astrophys. J. 471, 1044.
Wheatland, M. S., and Glukhov, S.: 1998, Astrophys. J. 494, 858.
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Miroshnichenko, L., Mendoza, B. & Pérez Enríquez, R. Size Distrtibutions of the >10 MeV Solar Proton Events. Solar Physics 202, 151–171 (2001). https://doi.org/10.1023/A:1011846932759
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DOI: https://doi.org/10.1023/A:1011846932759