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Random sequential adsorption of straight rigid rods of length $k$ ($k$-mers)on a simple cubic lattice has been studied by numerical simulations andfinite-size scaling analysis. The calculations were performed by using a newtheoretical scheme, whose accuracy was verified by comparison with rigorousanalytical data. The results, obtained for \textit{k} ranging from 2 to 64,revealed that (i) in the case of dimers ($k=2$), the jamming coverage is$\theta_j=0.918388(16)$. Our estimate of $\theta_j$ differs significantly fromthe previously reported value of $\theta_j=0.799(2)$ [Y. Y. Tarasevich and V.A. Cherkasova, Eur. Phys. J. B \textbf{60}, 97 (2007)]; (ii) $\theta_j$exhibits a decreasing function when it is plotted in terms of the $k$-mer size,being $\theta_j (\infty)= 0.4045(19)$ the value of the limit coverage for large$k$'s; and (iii) the ratio between percolation threshold and jamming coverageshows a non-universal behavior, monotonically decreasing with increasing $k$.

Random sequential adsorption of straight rigid rods on a simple cubic lattice