Activity patterns on random scale-free networks: Global dynamics arising from local majority rules
| dc.creator | Zhou, Haijun | |
| dc.creator | Lipowsky, Reinhard | |
| dc.date | 2007-01-18 | |
| dc.date.accessioned | 2026-07-07T07:41:38Z | |
| dc.date.available | 2026-07-07T07:41:38Z | |
| dc.description | Activity or spin patterns on random scale-free network are studied by mean field analysis and computer simulations. These activity patterns evolve in time according to local majority-rule dynamics which is implemented using (i) parallel or synchronous updating and (ii) random sequential or asynchronous updating. Our mean-field calculations predict that the relaxation processes of disordered activity patterns become much more efficient as the scaling exponent $γ$ of the scale-free degree distribution changes from $γ>5/2$ to $γ< 5/2$. For $γ> 5/2$, the corresponding decay times increase as $\ln(N)$ with increasing network size $N$ whereas they are independent of $N$ for $γ< 5/2$. In order to check these mean field predictions, extensive simulations of the pattern dynamics have been performed using two different ensembles of random scale-free networks: (A) multi-networks as generated by the configuration method, which typically leads to many self-connections and multiple edges, and (B) simple-networks without self-connections and multiple edges. | |
| dc.description | 20 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0701432 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0701432 | |
| dc.identifier | doi:10.1088/1742-5468/2007/01/P01009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122182 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Activity patterns on random scale-free networks: Global dynamics arising from local majority rules | |
| dc.type | text |