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Título: | Conservation laws for the voter model in complex networks |
Autor: | Suchecki, Krzysztof CSIC ORCID; Eguíluz, Víctor M. CSIC ORCID ; San Miguel, Maxi CSIC ORCID | Palabras clave: | [PACS] Order-disorder transformations; statistical mechanics of model systems [PACS] Complex systems [PACS] Dynamics of social systems |
Fecha de publicación: | 15-ene-2005 | Editor: | EDP Sciences | Citación: | Europhysics Letters 69, 228-234 (2005) | Resumen: | 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. | Descripción: | 7 pages, 4 figures.-- PACS nrs.: 64.60.Cn, 89.75.-k, 87.23.Ge.-- Pre-print version available at ArXiv: http://arxiv.org/abs/cond-mat/0408101. | Versión del editor: | http://dx.doi.org/10.1209/epl/i2004-10329-8 | URI: | http://hdl.handle.net/10261/7473 | DOI: | 10.1209/epl/i2004-10329-8 | ISSN: | 0295-5075 |
Aparece en las colecciones: | (IFISC) Artículos |
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