Size distributions of the >10 MeV solar proton events

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 )o f 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 10 5 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 10 3 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.