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Title

Anomalous lifetime distributions and topological traps in ordering dynamics

AuthorsCastelló, Xavier ; Toivonen, Riitta; Eguíluz, Víctor M. ; Saramäki, J.; Kaski, K.; San Miguel, Maxi
KeywordsOrder-disorder transformations; statistical mechanics of model systems
Dynamics of social systems
Issue Date1-Sep-2007
PublisherEDP Sciences
CitationEurophysics Letters 79, 66006 (2007)
AbstractWe 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.
Description6 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.
URIhttp://hdl.handle.net/10261/6085
DOI10.1209/0295-5075/79/66006
ISSN0295-5075
Appears in Collections:(IFISC) Artículos
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