| Title: |
Anomalous lifetime distributions and topological traps in ordering dynamics |
| Authors: |
Castelló, Xavier; Toivonen, Riitta; Eguíluz, Víctor M.; Saramäki, J.; Kaski, K.; San Miguel, Maxi |
| Source: |
http://dx.doi.org/10.1209/0295-5075/79/66006. |
| Publisher Information: |
EDP Sciences |
| Publication Year: |
2007 |
| Collection: |
Digital.CSIC (Consejo Superior de Investigaciones Científicas / Spanish National Research Council) |
| Subject Terms: |
Order-disorder transformations; statistical mechanics of model systems; Dynamics of social systems |
| 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. ; 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. ; This work was supported in part by the Finnish Academy of Science and Letters, Vilho, Yrjö and Kalle Väisälä Foundation, Cost Action P10 (COST-STSM-P10-02707), as well as the Academy of Finland, Center of Excellence program 2006-2011. We acknowledge financial support form the MEC (Spain) through project CONOCE2 (FIS2004-00953). XC also acknowledges financial support from a PhD fellowship of the Govern de les Illes Balears (Spain). |
| Document Type: |
article in journal/newspaper |
| File Description: |
2373 bytes; 1019158 bytes; text/plain; application/pdf |
| Language: |
English |
| Relation: |
Europhysics Letters 79, 66006 (2007); http://hdl.handle.net/10261/6085 |
| DOI: |
10.1209/0295-5075/79/66006 |
| Availability: |
http://hdl.handle.net/10261/6085; https://doi.org/10.1209/0295-5075/79/66006 |
| Rights: |
open |
| Accession Number: |
edsbas.61745EEC |
| Database: |
BASE |