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Open Access item Anomalous lifetime distributions and topological traps in ordering dynamics

Authors:Castelló, Xavier
Toivonen, Riitta
Eguíluz, Víctor M.
Saramäki, J.
Kaski, K.
San Miguel, Maxi
Keywords:Order-disorder transformations; statistical mechanics of model systems, Dynamics of social systems
Issue Date:1-Sep-2007
Publisher:EDP Sciences
Citation:Europhysics Letters 79, 66006 (2007)
Abstract:We address the role of community structure of an interaction network in ordering dynamics, as well as associated forms of metastability. We consider the voter and AB model dynamics in a network model which mimics social interactions. The AB model includes an intermediate state between the two excluding options of the voter model. For the voter model we find dynamical metastable disordered states with a characteristic mean lifetime. However, for the AB dynamics we find a power law distribution of the lifetime of metastable states, so that the mean lifetime is not representative of the dynamics. These trapped metastable states, which can order at all time scales, originate in the mesoscopic network structure.
Description:6 pages.-- PACS numbers: 64.60.Cn, 87.23.Ge.-- Final full-text version of the paper available at: http://dx.doi.org/10.1209/0295-5075/79/66006.
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