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Reconciling Power Law Slopes in Solar Flare and Nanoflare Size Distributions View all abstracts by submitter

Markus J. Aschwanden   Submitted: 2022-04-25 11:40

We unify the power laws of size distributions of solar flare and nanoflare energies. We present three models that predict the power law slopes α _E of flare energies defined in terms of the 2-D and 3-D fractal dimensions (D_A, D_V): (i) The spatio-temporal standard SOC model, defined by the power law slope α E1=1+2/(D_V+2)=(13/9)≈ 1.44; (ii) the 2-D thermal energy model, α E2=1+2/D_A=(7/3)≈ 2.33, and (iii) the 3-D thermal energy model, α E3=1+2/D_V=(9/5)≈ 1.80. The theoretical predictions of energies are consistent with the observational values of these three groups, i.e., α E1=1.47 ± 0.07; α E2=2.38 ± 0.09, and α E3=1.80 ± 0.18. These results corroborate that the energy of nanoflares does not diverge at small energies, since ( α E1<2) and ( α E3<2), except for the unphyiscal 2-D model ( α E2>2). This conclusion adds an additional argument against the scenario of coronal heating by nanoflares.

Authors: Markus J. Aschwanden
Projects: SDO-AIA

Publication Status: ApJL (submitted 2022 April 25)
Last Modified: 2022-04-26 16:10
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