Global energetics of solar flares. III. Nonthermal energies
This study entails the third part of a global flare energetics project, in which Ramaty High-Energy Solar Spectroscopic Imager (RHESSI) data of 191 M and X-class flare events from the first 3.5 years of the Solar Dynamics Observatory mission are analyzed. We fit a thermal and a nonthermal component to RHESSI spectra, yielding the temperature of the differential emission measure (DEM) tail, the nonthermal power-law slope and flux, and the thermal/nonthermal cross-over energy e {sub co}. From these parameters, we calculate the total nonthermal energy E {sub nt} in electrons with two different methods: (1) using the observed cross-over energy e {sub co} as low-energy cutoff, and (2) using the low-energy cutoff e {sub wt} predicted by the warm thick-target bremsstrahlung model of Kontar et al. Based on a mean temperature of T {sub e} = 8.6 MK in active regions, we find low-energy cutoff energies of e{sub wt}=6.2±1.6 keV for the warm-target model, which is significantly lower than the cross-over energies e{sub co}=21±6 keV. Comparing with the statistics of magnetically dissipated energies E {sub mag} and thermal energies E {sub th} from the two previous studies, we find the following mean (logarithmic) energy ratios with the warm-target model: E{sub nt}=0.41 E{sub mag}, E{sub th}=0.08 E{sub mag}, and E{sub th}=0.15 E{sub nt}. The total dissipated magnetic energy exceeds the thermal energy in 95% and the nonthermal energy in 71% of the flare events, which confirms that magnetic reconnection processes are sufficient to explain flare energies. The nonthermal energy exceeds the thermal energy in 85% of the events, which largely confirms the warm thick-target model.