Physics
Scientific paper
Apr 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002phrve..65d6125m&link_type=abstract
Physical Review E, vol. 65, Issue 4, id. 046125
Physics
14
Self-Organized Systems, Magnetohydrodynamics And Plasmas, Static Sandpiles, Granular Compaction, Magnetic Reconnection
Scientific paper
We investigate the geometrical properties of avalanches in self-organized critical models of solar flares. Traditionally, such models differ from the classical sandpile model in their formulation of stability criteria in terms of the curvature of the nodal field, and belong to a distinct universality class. With a view toward comparing these properties to those inferred from spatially and temporally resolved flare observations, we consider the properties of avalanche peak snapshots, time-integrated avalanches in two and three dimensions, and the two-dimensional projections of the latter. The nature of the relationship between the avalanching volume and its projected area is an issue of particular interest in the solar flare context. Using our simulation results we investigate this relationship, and demonstrate that proper accounting of the fractal nature of avalanches can bring into agreement hitherto discrepant results of observational analyses based on simple, nonfractal geometries for the flaring volume.
Bogdan Thomas. J.
Charbonneau Paul
Liu Hong-Lin
McIntosh Scott W.
Norman James P.
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