The kinetics of Ostwald ripening of solid domains in the liquid phase of one-component systems in two dimensions is investigated numerically via the phase field crystal model. The simulations, which are performed systematically as a function of volume fraction of the solid phase, show that dynamical scaling is reached during late times, and the growth law is in good agreement with the classical theory of Lifshitz, Sl yozov and Wagner (LSW) i.e.R ∼ t 1/3 , an indication that domain growth is mediated by the long-range inter-domain diffusion of atoms. In contrast to LSW's theory, however, the domain size distribution is symmetric, and can be fitted with a Gaussian. The investigation of the topological domain structure, through the Voronoi tessellation of the domains' centers of mass shows that both Lewis' law and Aboav-Weaire law of two-dimensional cellular patterns are satisfied, implying that the kinetics proceed such as the conformational entropy of the domains-containing Voronoi cells is maximized. These results are in very good agreement with an earlier experimental study of a phase-separating phospholipid-cholesterol Langmuir film.