Characterization of supergranular features via topological measures

Mathematics – Logic

Scientific paper

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Solar Supergranulation

Scientific paper

The spatial configuration of enhanced magnetic field (active regions) in the outer layers of the Sun derives from the interaction between convective flows and solar magnetic field. Temporal evolution of active regions is considered the main responsible of radiative output variations. Particularly, solar irradiance variations are explained in terms of temporal and spatial evolution of solar surface magnetic fields. A key role in this evolution is played by supergranular convective flow that, advecting magnetic flux tubes, is also responsible of the creation of the magnetic network. This latter results located on the boundaries of supergranular cells. In order to measure both the spatial correlation length in supergranular structures and the degree of near neighbor order in such structures, we employ two topological analysis methods, the Pair Correlation Function g2(r) and the Information Entropy H'(l). More in detail, we apply these statistical methods to segmented images of divergence maps derived from the application of the time-distance technique to MDI/SOHO data. We assume that segmented images are representative of the mass flows associated to convective supergranular motions.

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