Seminars & Lectures
| * TITLE | Evolutionary network model | ||||||
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| * DATE / TIME | 2006-06-17, 2:00 - 3:30p.m. | ||||||
| * PLACE | Rm 1423, KIAS | ||||||
| * ABSTRACT | |||||||
| We investigate the interplay between the dynamics and the network structure in the context of a diffusing particle system on an evolving network. Particles of density rho diffuse freely over the network through links. Each link e is assigned to a score $c_e$, which increases by an unit amount whenever a node at either end receives a particle. The network evolves in time by rewiring each link with the probability $P_e = 1/c_e$. The model displays a dynamical phase transition in the network structure at a treshold value of the particle density $rho_c$. When the network load is low ($rho < rho_c$), the network evolves into a star-shaped structure in a finite characteristic time scale. On the other hand, when the network is highly loaded ($rho > rho_c$), it exihibits a scale-free degree distribution with the exponent $gamma sim 2. 0$ for an extented time period. We present extensive simulation results and an analytic scaling argument for the scaling behavior. |
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