Persistence in the Zero-Temperature Dynamics of the Random Ising Ferromagnet on a Voronoi-Delaunay lattice
| dc.creator | Lima, F. W. S. | |
| dc.creator | Filho, R. N. Costa | |
| dc.creator | Costa, U. M. S. | |
| dc.date | 2002-11-05 | |
| dc.date.accessioned | 2026-07-07T02:48:05Z | |
| dc.date.available | 2026-07-07T02:48:05Z | |
| dc.description | The zero-temperature Glauber dynamic is used to investigate the persistence probability $P(t)$ in the randomic two-dimensional ferromagnetic Ising model on a Voronoi-Delaunay tessellation. We consider the coupling factor $J$ varying with the distance $r$ between the first neighbors to be $J(r) \propto e^{-αr}$, with $α\ge 0$. The persistence probability of spins flip, that does not depends on time $t$, is found to decay to a non-zero value $P(\infty)$ depending on the parameter $α$. Nevertheless, the quantity $p(t)=P(t)-P(\infty)$ decays exponentially to zero over long times. Furthermore, the fraction of spins that do not change at a time $t$ is a monotonically increasing function of the parameter $α$. Our results are consistent with the ones obtained for the diluted ferromagnetic Ising model on a square lattice. | |
| dc.description | 3 pages, 3 Figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0211097 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0211097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20262 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Persistence in the Zero-Temperature Dynamics of the Random Ising Ferromagnet on a Voronoi-Delaunay lattice | |
| dc.type | text |