Reversible random sequential adsorption on a one-dimensional lattice
Jae Woo Lee
Abstract
We consider the reversible random sequential adsorption of line segments on a one-dimensional lattice. Line segments of length l ≥ 2 adsorb on the lattice with a adsorption rate Ka, and leave with a desorption rate Kd. We calculate the coverage fraction, and steady-state jamming limits by a Monte Carlo method. We observe that coverage fraction and jamming limits do not follow mean-field results at the large K=Ka/Kd >>1. Jamming limits decrease when the length of the line segment l increases. However, jamming limits increase monotonically when the parameter K increases. The distribution of two consecutive empty sites is not equivalent to the square of the distribution of isolated empty sites.
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