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 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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