Supergranulation As An Emergent Length Scale

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Scientific paper

We have developed an n-body simulation to model the motion and mutual interaction of small scale magnetic elements at the solar surface. The model is highly simplified and is based on the observation that small magnetic elements are passively advected by the granular flow (which involves granules fragmenting, merging, disappearing, and reforming). We approximate this complicated motion as a random walk. With a great many magnetic elements executing this random walk simultaneously, collisions are inevitable. We assume that these collisions lead to the coalescence of the colliding magnetic elements (if they have the same polarity) or mutual cancellation (opposite polarity). In a similar fashion, the resulting aggregates (or clusters) can subsequently interact with more magnetic elements or with other clusters. The essential finding is that this process (depending on the model parameters) can produce structures on a spatial scale comparable to supergranulation (15-35Mm).

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