Letter to the Editor
Analytical results in a cellular automaton model of solar flare occurrence
Yuri E. Litvinenko
Received 3 September 1998 / Accepted 5 October 1998
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 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.
Key words: Sun: corona Sun: flares Sun: magnetic fields
This article contains no SIMBAD objects.
© European Southern Observatory (ESO) 1998
Online publication: October 22, 1998