2021-04-11T15:41:49Z
http://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/7473
2018-09-13T09:10:09Z
com_10261_2855
com_10261_4
col_10261_2857
http://hdl.handle.net/10261/7473
10.1209/epl/i2004-10329-8
6479
Conservation laws for the voter model in complex networks
EDP Sciences
2005
Suchecki, Krzysztof
Eguíluz, Víctor M.
rp04881
San Miguel, Maxi
rp08334
[PACS] Order-disorder transformations; statistical mechanics of model systems
[PACS] Complex systems
[PACS] Dynamics of social systems
2005-01-15
7 pages, 4 figures.-- PACS nrs.: 64.60.Cn, 89.75.-k, 87.23.Ge.-- Pre-print version available at ArXiv: http://arxiv.org/abs/cond-mat/0408101.
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.