English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We introduce a simple model of opinion dynamics in which binary-state agentsevolve due to the influence of agents in a local neighborhood. In a singleupdate step, a fixed-size group is defined and all agents in the group adoptthe state of the local majority with probability p or that of the localminority with probability 1-p. For group size G=3, there is a phase transitionat p_c=2/3 in all spatial dimensions. For p>p_c, the global majority quicklypredominates, while for p<p_c, the system is driven to a mixed state in whichthe densities of agents in each state are equal. For p=p_c, the averagemagnetization (the difference in the density of agents in the two states) isconserved and the system obeys classical voter model dynamics. In one dimensionand within a Kirkwood decoupling scheme, the final magnetization in afinite-length system has a non-trivial dependence on the initial magnetizationfor all p.ne.p_c, in agreement with numerical results. At p_c, the exact 2-spincorrelation functions decay algebraically toward the value 1 and the systemcoarsens as in the classical voter model.Comment: 11 pages, 3 figures, revtex4 2-column format; minor revisions for  publication in PR

Majority versus minority dynamics: Phase transition in an interacting two-state spin system