Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2004-03-05
Europhys. Lett., 67 (3), pp. 349-354 (2004)
Nonlinear Sciences
Adaptation and Self-Organizing Systems
Scientific paper
10.1209/epl/i2004-10074-0
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).
Minnhagen Petter
Rosvall Martin
Sneppen Kim
Trusina Ala
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