Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-12-10
Phy. Rev. E v. 61, p 1232 (2000)
Physics
Condensed Matter
Statistical Mechanics
9 pages, 10 figures
Scientific paper
10.1103/PhysRevE.61.1232
We report on simulations of reversible random sequential adsorption of dimers on three different lattices: a one-dimensional lattice, a two-dimensional triangular lattice, and a two-dimensional triangular lattice with the nearest neighbors excluded. In addition to the adsorption of particles at a rate K+, we allow particles to leave the surface at a rate K-. The results from the one-dimensional lattice model agree with previous results for the continuous parking lot model. In particular, the long-time behavior is dominated by collective events involving two particles. We were able to directly confirm the importance of two-particle events in the simple two-dimensional triangular lattice. For the two-dimensional triangular lattice with the nearest neighbors excluded, the observed dynamics are consistent with this picture. The two-dimensional simulations were motivated by measurements of Ca++ binding to Langmuir monolayers. The two cases were chosen to model the effects of changing pH in the experimental system.
Dennin Michael
Ghaskadvi R. S.
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