Instability in a Network Coevolving with a Particle System
| dc.creator | Kim, Sang-Woo | |
| dc.creator | Noh, Jae Dong | |
| dc.date | 2007-12-14 | |
| dc.date.accessioned | 2026-07-07T09:27:48Z | |
| dc.date.available | 2026-07-07T09:27:48Z | |
| dc.description | We study a coupled dynamics of a network and a particle system. Particles of density $ρ$ diffuse freely along edges, each of which is rewired at a rate given by a decreasing function of particle flux. We find that the coupled dynamics leads to an instability toward the formation of hubs and that there is a dynamic phase transition at a threshold particle density $ρ_c$. In the low density phase, the network evolves into a star-shaped one with the maximum degree growing linearly in time. In the high density phase, the network exhibits a fat-tailed degree distribution and an interesting dynamic scaling behavior. We present an analytic theory explaining mechanism for the instability and a scaling theory for the dynamic scaling behavior. | |
| dc.description | 4 pages and 5 figures | |
| dc.identifier | https://arxiv.org/abs/0712.2374 | |
| dc.identifier | http://arxiv.org/abs/0712.2374 | |
| dc.identifier | Phys. Rev. Lett. 100, 118702 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.100.118702 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157236 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Instability in a Network Coevolving with a Particle System | |
| dc.type | text |