Generic Absorbing Transition in Coevolution Dynamics
| dc.creator | Vazquez, F. | |
| dc.creator | Eguiluz, V. M. | |
| dc.creator | Miguel, M. San | |
| dc.date | 2007-10-25 | |
| dc.date | 2008-03-19 | |
| dc.date.accessioned | 2026-07-07T09:27:15Z | |
| dc.date.available | 2026-07-07T09:27:15Z | |
| dc.description | We study a coevolution voter model on a network that evolves according to the state of the nodes. In a single update, a link between opposite-state nodes is rewired with probability $p$, while with probability $1-p$ one of the nodes takes its neighbor's state. A mean-field approximation reveals an absorbing transition from an active to a frozen phase at a critical value $p_c=\frac{μ-2}{μ-1}$ that only depends on the average degree $μ$ of the network. The approach to the final state is characterized by a time scale that diverges at the critical point as $τ\sim |p_c-p|^{-1}$. We find that the active and frozen phases correspond to a connected and a fragmented network respectively. We show that the transition in finite-size systems can be seen as the sudden change in the trajectory of an equivalent random walk at the critical rewiring rate $p_c$, highlighting the fact that the mechanism behind the transition is a competition between the rates at which the network and the state of the nodes evolve. | |
| dc.description | 5 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0710.4910 | |
| dc.identifier | http://arxiv.org/abs/0710.4910 | |
| dc.identifier | Phys. Rev. Lett. 100, 108702 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.100.108702 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157033 | |
| dc.subject | Physics and Society | |
| dc.subject | Statistical Mechanics | |
| dc.title | Generic Absorbing Transition in Coevolution Dynamics | |
| dc.type | text |