Dynamics of Non-Conservative Voters

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dc.creatorLambiotte, R.
dc.creatorRedner, S.
dc.date2007-12-03
dc.date2008-04-22
dc.date.accessioned2026-07-07T09:33:36Z
dc.date.available2026-07-07T09:33:36Z
dc.descriptionWe study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors. Depending on this non-linearity in the voting rule, the population may exhibit a bias toward zero magnetization or toward consensus, and the average magnetization is generally not conserved. We use a decoupling approximation to truncate the equation hierarchy for multi-point spin correlations and thereby derive the probability to reach a final state of a given consensus as a function of the initial magnetization. The case when voters are influenced by more distant voters is also considered by investigating the Sznajd model.
dc.description4 pages, 4 figures, 2-column revtex4 format; a minor typo in Eq. (16) fixed; current version is the final published manuscript that contains minor changes in response to referee comments
dc.identifierhttps://arxiv.org/abs/0712.0364
dc.identifierhttp://arxiv.org/abs/0712.0364
dc.identifierEurophysics Letters 82, 18007 (2008)
dc.identifierdoi:10.1209/0295-5075/82/18007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159191
dc.subjectData Analysis, Statistics and Probability
dc.subjectStatistical Mechanics
dc.subjectPhysics Education
dc.titleDynamics of Non-Conservative Voters
dc.typetext

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