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Coronal Heating as Determined by the Solar Flare Frequency Distribution Obtained by Aggregating Case Studies

Abstract:
Flare frequency distributions represent a key approach to addressing one of the largest problems in solar and stellar physics: determining the mechanism that counter-intuitively heats coronae to temperatures that are orders of magnitude hotter than the corresponding photospheres. It is widely accepted that the magnetic field is responsible for the heating, but there are two competing mechanisms that could explain it: nanoflares or Alfv\'en waves. To date, neither can be directly observed. Nanoflares are, by definition, extremely small, but their aggregate energy release could represent a substantial heating mechanism, presuming they are sufficiently abundant. One way to test this presumption is via the flare frequency distribution, which describes how often flares of various energies occur. If the slope of the power law fitting the flare frequency distribution is above a critical threshold, $\alpha=2$ as established in prior literature, then there should be a sufficient abundance of nanoflares to explain coronal heating. We performed $>$600 case studies of solar flares, made possible by an unprecedented number of data analysts via three semesters of an undergraduate physics laboratory course. This allowed us to include two crucial, but nontrivial, analysis methods: pre-flare baseline subtraction and computation of the flare energy, which requires determining flare start and stop times. We aggregated the results of these analyses into a statistical study to determine that $\alpha = 1.63 \pm 0.03$. This is below the critical threshold, suggesting that Alfv\'en waves are an important driver of coronal heating.Comment: 1,002 authors, 14 pages, 4 figures, 3 tables, published by The Astrophysical Journal on 2023-05-09, volume 948, page 7
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.3847/1538-4357/accc89

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Author
ORCID:
0000-0002-3783-5509
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Author
ORCID:
0000-0003-0310-2654
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Author
ORCID:
0000-0003-4181-0889
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Author
ORCID:
0000-0002-1176-3391
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Author
ORCID:
0000-0001-9351-733X


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Funder identifier:
10.13039/100000104
Grant:
NNX17AI71G
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Grant:
DMR-1548924


Publisher:
American Astronomical Society
Journal:
The Astrophysical Journal More from this journal
Volume:
948
Issue:
2
Pages:
71-71
Publication date:
2023-05-09
DOI:
EISSN:
1538-4357
ISSN:
0004-637X


Language:
English
Keywords:
Pubs id:
1344285
Local pid:
pubs:1344285
Source identifiers:
W4376163549
Deposit date:
2026-05-07
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