We generalize the conventional model of two-dimensional site percolation by including both (1) continuous deposition of particles on a two-dimensional substrate, and (2) diffusion of these particles in two-dimensions. This new model is motivated by recent thin film deposition experiments using the low-energy cluster beam deposition (LECBD) technique. Depending on various parameters such as deposition flux, diffusion constant, and system size, we find a rich range of fractal morphologies including diffusion limited aggregation (DLA), cluster-cluster aggregation (CCA), and percolation.
|Number of pages||9|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - 1 Jun 1994|
Bibliographical noteFunding Information:
We wish to thank A. Coniglio, J. Kertesz and D. Stauffer for helpful discussionsP. J acknowledgesC NRS and NATO for financials upport. HL thanks CONACYT, Mexico, for support. A.-L. B and HES thank the Hungary-USA exchange program of the Hungarian Academy of Sciences. The Center for Polymer Studies is supportedb y NSF.