title: Stochastic transformation of points in polygons according to the Voronoi tessellation: microstructural description.
abstract: Starting from a stochastic two-dimensional process we studied the transformation of points in disks and squares following a protocol according to which at any step the island size increases proportionally to the corresponding Voronoi tessera. Two interaction mechanisms among islands have been dealt with: coalescence and impingement. We studied the evolution of the island density and of the island size distribution functions, in dependence on island collision mechanisms for both Poissonian and correlated spatial distributions of points. The island size distribution functions have been found to be invariant with the fraction of transformed phase for a given stochastic process. The n(Θ) curve describing the island decay has been found to be independent of the shape (apart from high correlation degrees) and interaction mechanism.
authors.affiliation: Dipartimento di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, 00133 Roma, Italy.
authors.forename: Alessia
authors.initials: A
authors.lastname: Di Vito
authors.forename: Massimo
authors.initials: M
authors.lastname: Fanfoni
authors.forename: Massimo
authors.initials: M
authors.lastname: Tomellini