Exact results for curvature-driven coarsening in two dimensions
| dc.creator | Arenzon, Jeferson J. | |
| dc.creator | Bray, Alan J. | |
| dc.creator | Cugliandolo, Leticia F. | |
| dc.creator | Sicilia, Alberto | |
| dc.date | 2006-08-11 | |
| dc.date | 2007-01-24 | |
| dc.date.accessioned | 2026-07-07T08:05:34Z | |
| dc.date.available | 2026-07-07T08:05:34Z | |
| dc.description | We consider the statistics of the areas enclosed by domain boundaries (`hulls') during the curvature-driven coarsening dynamics of a two-dimensional nonconserved scalar field from a disordered initial state. We show that the number of hulls per unit area that enclose an area greater than $A$ has, for large time $t$, the scaling form $N_h(A,t) = 2c/(A+λt)$, demonstrating the validity of dynamical scaling in this system, where $c=1/8π\sqrt{3}$ is a universal constant. Domain areas (regions of aligned spins) have a similar distribution up to very large values of $A/λt$. Identical forms are obtained for coarsening from a critical initial state, but with $c$ replaced by $c/2$. | |
| dc.description | 4 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0608270 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0608270 | |
| dc.identifier | Phys. Rev. Lett. 98, 145701 (2007) | |
| dc.identifier | doi:10.1103/PhysRevLett.98.145701 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130319 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Exact results for curvature-driven coarsening in two dimensions | |
| dc.type | text |