Analytical results in a cellular automaton model of solar flare occurrence

Details Analytical results in a cellular automaton model of solar flare occurrence Analytical results in a cellular automaton model of solar flare occurrence

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998a%26a...339l..57l&link_type=abstract

Astronomy and Astrophysics, v.339, p.L57-L60 (1998)

Astronomy and Astrophysics

Astrophysics

6

Sun: Corona, Sun: Flares, Sun: Magnetic Fields

Scientific paper

Methods of the branching theory are applied to the Macpherson-MacKinnon (1997) cellular automation model for the occurrence of solar flares. The distribution of flare energies is shown to be a power law with the slope alpha = 3/2 independent of dimensionality D of the model and in nice agreement with observations, arguing in favor of the model. An expression for the upper energy cut-off and a condition for the average flare size to become infinite are derived for an arbitrary D as well, providing an opportunity for comparing the analytical and numerical results.

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