title: Irreversible aggregation of interacting particles in one dimension.
abstract: We present a study of the aggregation of interacting particles in one dimension. This situation, for example, applies to atoms trapped along linear defects at the surface of a crystal. Simulations are performed with two lattice models. In the first model, the borders of atoms and islands interact in a vectorial manner via force monopoles. In the second model, each atom carries a dipole. These two models lead to qualitatively similar but quantitatively different behaviors. In both cases, the final average island size S(f) does not depend on the interactions in the limits of very low and very high coverages. For intermediate coverages, S(f) exhibits an asymmetric behavior as a function of the interaction strength: while it saturates for attractive interactions, it decreases for repulsive interactions. A class of mean-field models is designed, which allows one to retrieve the interaction dependence on the coverage dependence of the average island size with a good accuracy.
authors.affiliation: Département de Physique, Faculté des Sciences, Université Mohammed V, Agdal, Rabat, Morocco.
authors.forename: Hachem
authors.initials: H
authors.lastname: Sidi Ammi
authors.forename: Anna
authors.initials: A
authors.lastname: Chame
authors.forename: M'hammed
authors.initials: M
authors.lastname: Touzani
authors.forename: Abdelilah
authors.initials: A
authors.lastname: Benyoussef
authors.forename: Olivier
authors.initials: O
authors.lastname: Pierre-Louis
authors.forename: Chaouqi
authors.initials: C
authors.lastname: Misbah