A simple model for self-organization of bipartite networksK. Sneppen1, M. Rosvall1, 2, A. Trusina1, 2 and P. Minnhagen1, 2
1 NORDITA - Blegdamsvej 17, 2100 Copenhagen Ø, Denmark
2 Department of Physics, Umeå University - 90187 Umeå, Sweden
(Received 26 February 2004; accepted in final form 19 May 2004)
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/s2, and with dynamical reconnection events of size occurring with frequency that scales as . This suggests that the model is in the same universality class as the model with annihilation for self-organization in the solar atmosphere suggested by Hughes et al. (Phys. Rev. Lett. 90 (2003) 131101).
05.65.+b - Self-organized systems.
89.75.-k - Complex systems.
96.60.-j - Solar physics.
© EDP Sciences 2004