English

Reversible Random Sequential Adsorption of Dimers on a Triangular Lattice

Statistical Mechanics 2016-08-31 v1

Abstract

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.

Keywords

Cite

@article{arxiv.cond-mat/9912185,
  title  = {Reversible Random Sequential Adsorption of Dimers on a Triangular Lattice},
  author = {R. S. Ghaskadvi and Michael Dennin},
  journal= {arXiv preprint arXiv:cond-mat/9912185},
  year   = {2016}
}

Comments

9 pages, 10 figures

R2 v1 2026-07-22T12:17:24.874Z