Reversible random sequential adsorption on a one-dimensional lattice

We consider the reversible random sequential adsorption of line segments on a one-dimensional lattice. Line segments of length $l \geq 2$ adsorb on the lattice with a adsorption rate $K_a$, and leave with a desorption rate $K_d$. 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 $K=K_a/K_d >>1$. 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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