Routes to thermodynamic limit on scale-free networks
| dc.creator | Castellano, Claudio | |
| dc.creator | Pastor-Satorras, Romualdo | |
| dc.date | 2007-10-15 | |
| dc.date | 2008-04-21 | |
| dc.date.accessioned | 2026-07-07T09:33:20Z | |
| dc.date.available | 2026-07-07T09:33:20Z | |
| dc.description | We show that there are two classes of finite size effects for dynamic models taking place on a scale-free topology. Some models in finite networks show a behavior that depends only on the system size N. Others present an additional distinct dependence on the upper cutoff k_c of the degree distribution. Since the infinite network limit can be obtained by allowing k_c to diverge with the system size in an arbitrary way, this result implies that there are different routes to the thermodynamic limit in scale-free networks. The contact process (in its mean-field version) belongs to this second class and thus our results clarify the recent discrepancy between theory and simulations with different scaling of k_c reported in the literature. | |
| dc.description | 5 pages, 3 figures, final version | |
| dc.identifier | https://arxiv.org/abs/0710.2784 | |
| dc.identifier | http://arxiv.org/abs/0710.2784 | |
| dc.identifier | Phys. Rev. Lett. 100, 148701 (2008) | |
| dc.identifier | doi:10.1103/PhysRevLett.100.148701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159100 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Routes to thermodynamic limit on scale-free networks | |
| dc.type | text |