Conservation laws for the voter model in complex networks Export

@misc{citeulike:827, 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 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.}, archivePrefix = {arXiv}, author = {Suchecki, Krzysztof and Eguiluz, Victor M. and San Miguel, Maxi S.}, citeulike-article-id = {827}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/0408101}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/0408101}, day = {4}, eprint = {cond-mat/0408101}, keywords = {complex, conserve, dynamic, magnet, model, network, stochastic, update, voter}, month = {August}, posted-at = {2006-05-30 18:47:33}, priority = {3}, title = {Conservation laws for the voter model in complex networks}, url = {http://arxiv.org/abs/cond-mat/0408101}, year = {2004} }

TY - ELEC ID - citeulike:827 L3 - citeulike-article-id:827 N2 - 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. TI - Conservation laws for the voter model in complex networks KW - complex KW - conserve KW - dynamic KW - magnet KW - model KW - network KW - stochastic KW - update KW - voter AU - Suchecki, Krzysztof AU - Eguiluz, Victor AU - San Miguel, Maxi PY - 2004/08/04/ UR - http://arxiv.org/abs/cond-mat/0408101 ER -