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Título

Generic absorbing transition in coevolution dynamics

AutorVázquez, Federico ; Eguíluz, Víctor M. ; San Miguel, Maxi
Palabras claveApproximation theory
Social sciences
[PACS] Structures and organization in complex systems
[PACS] Fluctuation phenomena, random processes, noise, and Brownian motion
[PACS] Self-organized systems
[PACS] Networks and genealogical trees
Fecha de publicación14-mar-2008
EditorAmerican Physical Society
CitaciónPhysical Review Letters 100(10): 108702 (2008)
ResumenWe study a coevolution voter model on a complex network. A mean-field approximation reveals an absorbing transition from an active to a frozen phase at a critical value p_c=(μ-2)/(μ-1) that only depends on the average degree µ of the network. In finite-size systems, the active and frozen phases correspond to a connected and a fragmented network, respectively. The transition can be seen as the sudden change in the trajectory of an equivalent random walk at the critical point, resulting in an approach to the final frozen state whose time scale diverges as τ~|p_c-p|^-1 near p_c.
Descripción4 pages, 4 figures.-- PACS nrs.: 89.75.Fb; 05.40.-a; 05.65.+b; 89.75.Hc.-- ArXiv pre-print available at: http://arxiv.org/abs/0710.4910
Versión del editorhttp://dx.doi.org/10.1103/PhysRevLett.100.108702
URIhttp://hdl.handle.net/10261/14846
DOI10.1103/PhysRevLett.100.108702
ISSN0031-9007
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