Roughening Transition and Percolation in Random Ballistic Deposition
Résumé
A simple ballistic model for surface growth, which considers a mixture of ‘‘sticky'' and ‘‘sliding'' particles, is introduced and numerically investigated in dimensions d=2, 3, and 4. The model exhibits, in d=3 and 4 (but not in d=2), a roughening phase transition, of the type recently predicted by Halpin-Healy. For the first time it is shown that such kind of surface transition is accompanied by a transition in the bulk which is characterized by a singularity in the compacity-versus-concentration curve and which occurs at the threshold of a (d-1)-percolation transition.