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

Random sequential adsorption of straight rigid rods of length k ( k -mers) on a simple cubic lattice has been studied by numerical simulations and finite-size scaling analysis. The k -mers were irreversibly and isotropically deposited into the lattice. The calculations were performed by using a new theoretical scheme, whose accuracy was verified by comparison with rigorous analytical data. The results, obtained for k ranging from 2 to 64, revealed that (i) the jamming coverage for dimers ( k = 2 ) is θ j = 0.918388 ( 16 ) . Our result corrects the previously reported value of θ j = 0.799 ( 2 ) (Tarasevich and Cherkasova, 2007); (ii) θ j exhibits a decreasing function when it is plotted in terms of the k -mer size, being θ j ( ∞ ) = 0.4045 ( 19 ) the value of the limit coverage for large k ’s; and (iii) the ratio between percolation threshold and jamming coverage shows a non-universal behavior, monotonically decreasing to zero with increasing k . [ABSTRACT FROM AUTHOR]