2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/130319We 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 $c/2$.4 pages, 4 figuresStatistical MechanicsDisordered Systems and Neural Networkstext