Ballistic Deposition of Clusters

Yves-Patrick Pellegrini (1) , Rémi Jullien (1)

1 LPS - Laboratoire de Physique des Solides

Random ballistic deposition of clusters is studied by means of a simple model built on a two-dimensional square lattice in which initially the sites are randomly occupied with concentration c to form connected clusters. Then these clusters are allowed to fall along vertical trajectories until they stick to the cluster in contact with the basal horizontal line. The concentration of the deposit, cd, and the scaling behavior of the width of its surface, σ, are studied as a function of c and of the geometrical characteristics. The change of the scaling behavior is analyzed when c approaches the percolation concentration.

Mots clés: ballistic deposition; scaling; surface growth models

Domaines: Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]

Yves-Patrick Pellegrini, Rémi Jullien. Ballistic Deposition of Clusters. Physica A: Statistical and Theoretical Physics, 1990, 165 (1), pp.19-30. ⟨10.1016/0378-4371(90)90239-O⟩. ⟨hal-00413013⟩