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Agreement dynamics on directed random graphs | | Adam Lipowski
; Dorota Lipowska
; Antonio L. Ferreira
; | | Date: |
1 May 2016 | | Abstract: | When agreement-dynamics models are placed on a directed random graph, a
fraction of sites $exp(-z)$, where $z$ is the average degree, becomes
permanently fixed or flickering. In the Voter model, which has no surface
tension, such zealots or flickers freely spread their opinions and that makes
the system disordered. For models with a surface tension, like the Ising model
or the Naming Game model, their role is limited and such systems are ordered at
large~$z$. However, when $z$ decreases, the density of zealots or flickers
increases, and below a certain threshold ($zsim 1.9-2.0$) the system becomes
disordered. Our results show that the agreement dynamics on directed networks
is much different from their undirected analogues. | | Source: | arXiv, 1605.0310 | | Services: | Forum | Review | PDF | Favorites | |
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