%0 Journal Article %1 Chen2005Majority %A Chen, P. %A Redner, S. %D 2005 %I American Physical Society %J Physical Review E %K majority-vote, opinion-models lattice-models %N 3 %P 036101+ %R 10.1103/physreve.71.036101 %T Majority rule dynamics in finite dimensions %U http://dx.doi.org/10.1103/physreve.71.036101 %V 71 %X We investigate the long-time behavior of a majority rule opinion dynamics model in finite spatial dimensions. Each site of the system is endowed with a two-state spin variable that evolves by majority rule. In a single update event, a group of spins with a fixed (odd) size is specified and all members of the group adopt the local majority state. Repeated application of this update step leads to a coarsening mosaic of spin domains and ultimate consensus in a finite system. The approach to consensus is governed by two disparate time scales, with the longer time scale arising from realizations in which spins organize into coherent single-opinion bands. The consequences of this geometrical organization on the long-time kinetics are explored.

@article{Chen2005Majority, abstract = {{We investigate the long-time behavior of a majority rule opinion dynamics model in finite spatial dimensions. Each site of the system is endowed with a two-state spin variable that evolves by majority rule. In a single update event, a group of spins with a fixed (odd) size is specified and all members of the group adopt the local majority state. Repeated application of this update step leads to a coarsening mosaic of spin domains and ultimate consensus in a finite system. The approach to consensus is governed by two disparate time scales, with the longer time scale arising from realizations in which spins organize into coherent single-opinion bands. The consequences of this geometrical organization on the long-time kinetics are explored.}}, added-at = {2019-06-10T14:53:09.000+0200}, author = {Chen, P. and Redner, S.}, biburl = {https://www.bibsonomy.org/bibtex/294a2f5eda26892345f9502f2bef21b10/nonancourt}, citeulike-article-id = {4302913}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/physreve.71.036101}, citeulike-linkout-1 = {http://link.aps.org/abstract/PRE/v71/i3/e036101}, citeulike-linkout-2 = {http://link.aps.org/pdf/PRE/v71/i3/e036101}, doi = {10.1103/physreve.71.036101}, interhash = {1a4da2022d6992f2a340544f4c29a501}, intrahash = {94a2f5eda26892345f9502f2bef21b10}, journal = {Physical Review E}, keywords = {majority-vote, opinion-models lattice-models}, month = mar, number = 3, pages = {036101+}, posted-at = {2012-09-06 23:07:22}, priority = {2}, publisher = {American Physical Society}, timestamp = {2019-08-01T15:36:09.000+0200}, title = {{Majority rule dynamics in finite dimensions}}, url = {http://dx.doi.org/10.1103/physreve.71.036101}, volume = 71, year = 2005 }