We formulate and analyze a model for the study of finite clusters of atoms or localized defects in infinite crystals based on orbital-free density functional theory. We show that the resultingâ€¦ (More)

We consider an atomistic interaction potential in one dimension given through a minimization problem, which gives rise to a field. The forces on atoms are in this case given by local expressionsâ€¦ (More)

We consider an atomistic model defined through an interaction field satisfying a variational principle, and can therefore be considered a toy model of (orbital free) density functional theory. Weâ€¦ (More)