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Título: | Analytical solution of the voter model on uncorrelated networks |
Autor: | Vázquez, Federico CSIC ORCID; Eguíluz, Víctor M. CSIC ORCID | Palabras clave: | Statistical mechanics | Fecha de publicación: | 9-jun-2008 | Editor: | Deutsche Physikalische Gesellschaft Institute of Physics Publishing |
Citación: | New Journal of Physics 10: 063011 (2008) | Resumen: | We present a mathematical description of the voter model dynamics on heterogeneous networks. When the average degree of the graph is μ ≤ 2 the system reaches complete order exponentially fast. For μ > 2, a finite system falls, before it fully orders, in a quasistationary state in which the average density of active links (links between opposite-state nodes) in surviving runs is constant and equal to [(μ-2)/3(μ-1)], while an infinite large system stays ad infinitum in a partially ordered stationary active state. The mean life time of the quasistationary state is proportional to the mean time to reach the fully ordered state T, which scales as T ~ [(μ-1)μ^2 N/(μ-2)μ_2], where N is the number of nodes of the network, and μ_2 is the second moment of the degree distribution. We find good agreement between these analytical results and numerical simulations on random networks with various degree distributions. | Descripción: | 19 pages, 8 figures.-- ArXiv pre-print available at: http://arxiv.org/abs/0803.1686 | Versión del editor: | http://dx.doi.org/10.1088/1367-2630/10/6/063011 | URI: | http://hdl.handle.net/10261/12870 | DOI: | 10.1088/1367-2630/10/6/063011 | ISSN: | 1367-2630 |
Aparece en las colecciones: | (IFISC) Artículos |
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voter_NJP_08.pdf | 2,1 MB | Adobe PDF | Visualizar/Abrir |
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