Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices
| dc.creator | Lima, F. W. S. | |
| dc.creator | Malarz, K. | |
| dc.date | 2006-02-23 | |
| dc.date | 2006-08-01 | |
| dc.date.accessioned | 2026-07-07T07:01:55Z | |
| dc.date.available | 2026-07-07T07:01:55Z | |
| dc.description | On Archimedean lattices, the Ising model exhibits spontaneous ordering. Two examples of these lattices of the majority-vote model with noise are considered and studied through extensive Monte Carlo simulations. The order/disorder phase transition is observed in this system. The calculated values of the critical noise parameter are q_c=0.091(2) and q_c=0.134(3) for (3,4,6,4) and (3^4,6) Archimedean lattices, respectively. The critical exponents beta/nu, gamma/nu and 1/nu for this model are 0.103(6), 1.596(54), 0.872(85) for (3,4,6,4) and 0.114(3), 1.632(35), 0.978(104) for (3^4,6) Archimedean lattices. These results differs from the usual Ising model results and the majority-vote model on so-far studied regular lattices or complex networks. The effective dimensionality of the system [D_{eff}(3,4,6,4)=1.802(55) and D_{eff}(3^4,6)=1.860(34)] for these networks are reasonably close to the embedding dimension two. | |
| dc.description | 6 pages, 7 figures in 12 eps files, RevTex4 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0602563 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0602563 | |
| dc.identifier | Int. J. Mod. Phys. C17 (2006) 1273 | |
| dc.identifier | doi:10.1142/S0129183106009849 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108428 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Majority-vote model on (3,4,6,4) and (3^4,6) Archimedean lattices | |
| dc.type | text |