Are solar flares random processes?

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Sun: Flares, Chaos, Methods: Statistical, Sun: Radio Radiation

Scientific paper

We show that the current high time-resolution observations are compatible with considering the flare process stochastic. To establish this proposition we analytically investigate a particular class of stochastic processes. These marked and filtered point processes (a generalization of shot noise) describe the radio-emission occurring during a flare in a realistic way, namely as a trigger signal causing observable pulses, where the trigger and the plasma response are treated as separated processes. The existing empirical inquiries, with which we confront our model, are based on radio observations (type III and narrow-band spikes events), and they refer to the shape of the power-spectrum, the possible existence of a low-dimensional attractor (correlation dimension estimate), and the statistics of the time intervals between subsequent peaks. It turns out that the stochastic model can describe the properties as they are found in these empirical investigations. Particularly, what has been found in the observations and termed 'periodic' or 'almost periodic' can as well be the signature of temporal correlations in a stochastic model. Such correlations arise for instance from the pulse shape, but also from a blocking time, if such a one is inherent to the peak-detection algorithm.

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