Scaling laws and frequency distributions of avalanche areas in a self-organized criticality model of solar flares

Details Scaling laws and frequency distributions of avalanche areas in a self-organized criticality model of solar flares Scaling laws and frequency distributions of avalanche areas in a self-organized criticality model of solar flares

Feb 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008georl..3504108m&link_type=abstract

Geophysical Research Letters, Volume 35, Issue 4, CiteID L04108

Physics

Plasma Physics

1

Solar Physics, Astrophysics, And Astronomy: Flares, Space Plasma Physics: Nonlinear Phenomena (4400, 6944), Nonlinear Geophysics: Self-Organized Criticality

Scientific paper

We calculate the spreading exponents and some geometrical properties of avalanches in a novel avalanche model of solar flares, closely built on Parker's physical picture of coronal heating by nanoflares. The model is based on an idealized representation of a coronal loop as a bundle of magnetic flux strands wrapping around one another, numerically implemented as an anisotropic cellular automaton. We demonstrate that the growth of avalanches in this model exhibits power-laws correlations that are numerically consistent with the behavior of a general class of statistical physical systems in the vicinity of a stationary critical point. This demonstrates that the model indeed operates in a self-organized critical regime. Moreover, we find that the frequency distribution of avalanche peak areas A assumes a power-law form f(A) $\propto$ A -αA with an index α A $\simeq$ 2.45, in excellent agreement with observationally-inferred values.

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