Distribution of Flare Energies Based on Independent Reconnecting Structures

Physics

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Scientific paper

A model is presented to explain the observed frequency distribution of flare energies, based on independent flaring at a number of distinct topological structures (separators) within active-region magnetic fields. The model is a modification and generalization of a recent model due to Craig (2001), and reconciles that model with the observed flare waiting-time distribution, and the observed absence of a flare waiting-time versus energy relationship. The basic assumptions of the model are that flares of energy E~l2 occur at separators of length l, and that the frequency of flaring at a separator is defined by the Alfvén transit time of the structure. To reproduce the observed distribution of flare energies the model requires a probability distribution P(l)~l-1 of separator lengths l within active regions. This prediction of the model is in principle testable. A theoretical origin for this distribution is also discussed.

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