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oai:digital.csic.es:10261/7473
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com_10261_2855
com_10261_4
col_10261_2857
00925njm 22002777a 4500
dc
Suchecki, Krzysztof
author
Eguíluz, Víctor M.
author
San Miguel, Maxi
author
2005-01-15
We consider the voter model dynamics in random networks with an arbitrary distribution of the degree of the nodes. We find that for the usual node-update dynamics the average magnetization is not conserved, while an average magnetization weighted by the degree of the node is conserved. However, for a link-update dynamics the average magnetization is still conserved. For the particular case of a Barabasi-Albert scale-free network the voter model dynamics leads to a partially ordered metastable state with a finite size survival time. This characteristic time scales linearly with system size only when the updating rule respects the conservation law of the average magnetization. This scaling identifies a universal or generic property of the voter model dynamics associated with the conservation law of the magnetization.
Europhysics Letters 69, 228-234 (2005)
0295-5075
http://hdl.handle.net/10261/7473
10.1209/epl/i2004-10329-8
[PACS] Order-disorder transformations; statistical mechanics of model systems
[PACS] Complex systems
[PACS] Dynamics of social systems
Conservation laws for the voter model in complex networks