%0 Journal Article %1 Suchecki2005a %A Suchecki, Krzysztof %A Eguíluz, Víctor M. %A Miguel, Maxi San %D 2005 %J EPL %K opinion-formation voter-model networks graphs %P 228-234 %R 10.1209/epl/i2004-10329-8 %T Conservation laws for the voter model in complex networks %V 69 %X 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 Barabási-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.

@article{Suchecki2005a, abstract = {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 Barabási-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.}, added-at = {2011-07-19T12:29:54.000+0200}, author = {Suchecki, Krzysztof and Eguíluz, Víctor M. and Miguel, Maxi San}, biburl = {https://www.bibsonomy.org/bibtex/29eb542fa4b24c54fea3e93180db29dec/rincedd}, doi = {10.1209/epl/i2004-10329-8}, file = {Suchecki2005a - Conservation laws for the voter model in complex networks.pdf:Contact Processes/Suchecki2005a - Conservation laws for the voter model in complex networks.pdf:PDF}, groups = {public}, interhash = {d1498954ba98819209437dd808f26df9}, intrahash = {9eb542fa4b24c54fea3e93180db29dec}, journal = {EPL}, keywords = {opinion-formation voter-model networks graphs}, pages = {228-234}, timestamp = {2011-08-29T16:42:27.000+0200}, title = {Conservation laws for the voter model in complex networks}, username = {rincedd}, volume = 69, year = 2005 }