We report on simulations of reversible random sequential adsorption of dime
rs on three different lattices, a one-dimensional lattice, a two-dimensiona
l triangular lattice, and a two-dimensional triangular lattice with the nea
rest neighbors excluded. In addition to the adsorption of particles at a ra
te K+, we allow particles to leave the surface at a rate K-. The results fr
om the one-dimensional lattice model agree with previous results for the co
ntinuous parking lot model. In particular, the long-time behavior is domina
ted 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 ne
arest neighbors excluded, the observed dynamics are consistent with this pi
cture. The two-dimensional simulations were motivated by measurements of Ca
2+ binding to Langmuir monolayers. The two cases were chosen to model the e
ffects of changing pH in the experimental system.