A simple model for self organization of bipartite networks

Abstract

We suggest a minimalistic model for directed networks and suggest an application to injection and merging of magnetic field lines. We obtain a network of connected donor and acceptor vertices with degree distribution $1/s^2$, and with dynamical reconnection events of size $\Delta s$ occurring with frequency that scale as $1/\Delta s^3$. This suggest that the model is in the same universality class as the model for self organization in the solar atmosphere suggested by Hughes et al.(PRL {\bf 90} 131101).

References in corpus (2)

• Emergence of scaling in random networks
• Solar Flares as Cascades of Reconnecting Magnetic Loops

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