Abstract
Clustering phenomenon has been studied in a film-deposition model in which a monolayer of particles is deposited onto a substrate. The occupation of a given site is assumed to depend on the occupation states of its nearest neighbouring sites as well as on the temperature of the particles being deposited. It is found that the percolating clusters remain ramified in that the number of their boundary sites are proportional to the number of particles in the cluster. The percolation threshold, however is lowered to (54±2)% as compared to 59% density for the uncorrelated case.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Shanti, V.K.S., Kirkpatrick, S.: Adv. Phys.20, 325 (1971)
Kirkpatrick, S.: Rev. Mod. Phys.45, 574 (1973)
Shklovskii, B.I., Efros, A.L.: Sov. Phys. USP.18, 845 (1976)
Stauffer, D.: Phys. Rep.54 1 (1979)
Coniglio, A.: Phys. Rev. B13, 2194 (1976)
Coniglio, A., Russo, L.: J. Phys. A12, 545 (1979)
Muller-Krumbhaar, H.: Phys. Lett. A50, 27 (1974)
Hoshen, J., Kopelman, R.: Phys. Rev. B14, 3438 (1976)
Sykes, M.F., Glen, M.: J. Phys. A9, 87 (1976)
The slope is drawn using formulab=n×(1-x c )/x c whereb andn are the boundary and size of the cluster respectively withx c =0.54. Also see [4]
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sadiq, A., Khan, M.A. Correlated percolation in a film-deposition model. Z. Physik B - Condensed Matter 39, 131–134 (1980). https://doi.org/10.1007/BF01301518
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01301518