Random sequential adsorption: line segments on the square lattice

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Abstract
The authors study kinetics of the single-layer random sequential adsorption of line segments of fixed length on the square lattice by a Monte Carlo simulation. The area covered by the line segments grows with time and finally reaches a jamming limit when no more adsorption is possible. The jamming coverage depends on the segment length and its variation is studied. At the late stage, approach of the coverage to the jamming limit is asymptotically exponential, with a rate found to be independent of the segment length. Based on Monte Carlo data, an exact expression for the late-stage deposition kinetics is conjectured.