Conservation laws for the voter model in complex networks
| dc.creator | Suchecki, Krzysztof | |
| dc.creator | Eguiluz, Victor M. | |
| dc.creator | Miguel, Maxi San | |
| dc.date | 2004-08-04 | |
| dc.date.accessioned | 2026-07-07T02:59:35Z | |
| dc.date.available | 2026-07-07T02:59:35Z | |
| dc.description | We consider the voter model dynamics in random networks with an arbitrary distribution of the degree of the nodes. We find that for the usual node-update dynamics the average magnetization is not conserved, while an average magnetization weighted by the degree of the node is conserved. However, for a link-update dynamics the average magnetization is still conserved. For the particular case of a Barabasi-Albert scale-free network the voter model dynamics leads to a partially ordered metastable state with a finite size survival time. This characteristic time scales linearly with system size only when the updating rule respects the conservation law of the average magnetization. This scaling identifies a universal or generic property of the voter model dynamics associated with the conservation law of the magnetization. | |
| dc.description | 5 pages, 4 figures; for related material please visit http://www.imedea.uib.es | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0408101 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0408101 | |
| dc.identifier | Europhysics Letters 69, 228-234 (2005) | |
| dc.identifier | doi:10.1209/epl/i2004-10329-8 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/24568 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Conservation laws for the voter model in complex networks | |
| dc.type | text |