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Anomalous lifetime distributions and topological traps in ordering dynamics

AutorCastelló, Xavier ; Toivonen, Riitta; Eguíluz, Víctor M. ; Saramäki, J.; Kaski, K.; San Miguel, Maxi
Palabras claveOrder-disorder transformations; statistical mechanics of model systems
Dynamics of social systems
Fecha de publicación1-sep-2007
EditorEDP Sciences
CitaciónEurophysics Letters 79, 66006 (2007)
ResumenWe 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.
Descripción6 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
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