Dimensional Analysis of Solar Flare Distributions

Details Dimensional Analysis of Solar Flare Distributions Dimensional Analysis of Solar Flare Distributions

May 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001agusm..sp51c08l&link_type=abstract

American Geophysical Union, Spring Meeting 2001, abstract #SP51C-08

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7509 Corona, 7519 Flares

Scientific paper

Dimensional analysis is used to derive the distribution of solar flare energies ~ E-3/2 in accordance with recent observational and numerical results. Several other scalings, notably E ~ t f2 where t f is the flare duration, are obtained as well. Dimensional considerations can also be employed to model the rate of occurrence of solar flares (the flare waiting-time distribution). An analytical estimate for the mean flaring rate λ 0 is obtained, based on the idea that the rate reflects a balance between the processes of energy input into the corona and energy dissipation by flaring. The estimate is shown to be in good agreement with observations of flares by GOES detectors.

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