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Broad lifetime distributions for ordering dynamics in complex networks

AuthorsToivonen, Riitta; Castelló, Xavier ; Eguíluz, Víctor M. ; Saramäki, J.; Kaski, K.; San Miguel, Maxi
KeywordsComplex networks
Network theory (graphs)
Nonlinear dynamical systems
Random processes
Self-adjusting systems
[PACS] Networks and genealogical trees
[PACS] Social and economic systems
[PACS] Structures and organization in complex systems
Issue Date23-Jan-2009
PublisherAmerican Physical Society
CitationPhysical Review E 79(1): 016109 (2009)
AbstractWe search for conditions under which a characteristic time scale for ordering dynamics toward either of two absorbing states in a finite complex network of interactions does not exist. With this aim, we study random networks and networks with mesoscale community structure built up from randomly connected cliques. We find that large heterogeneity at the mesoscale level of the network appears to be a sufficient mechanism for the absence of a characteristic time for the dynamics. Such heterogeneity results in dynamical metastable states that survive at any time scale.
Description8 pages, 12 figures.-- PACS nrs.: 89.75.Hc; 89.65.-s; 89.75.Fb.-- ArXiv pre-print available at: http://arxiv.org/abs/0808.3318
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevE.79.016109
Appears in Collections:(IFISC) Artículos
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