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

GARCIA, G. D.; SANCHEZ VARRETTI, F. O.; CENTRES P. M.; RAMIREZ PASTOR A. J.

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2015 vol. 436 p. 558 - 564

0378-4371

Random sequential adsorption of straight rigid rods of length k (k-mers) on a simple cubiclattice has been studied by numerical simulations and finite-size scaling analysis. Thek-mers were irreversibly and isotropically deposited into the lattice. The calculations wereperformed by using a new theoretical scheme, whose accuracy was verified by comparisonwith rigorous analytical data. The results, obtained for k ranging from 2 to 64, revealedthat (i) the jamming coverage for dimers (k = 2) is θj = 0.918388(16). Our result correctsthe previously reported value of θj = 0.799(2) (Tarasevich and Cherkasova, 2007);(ii) θj exhibits a decreasing function when it is plotted in terms of the k-mer size, beingθj(∞) = 0.4045(19) the value of the limit coverage for large k?s; and (iii) the ratio betweenpercolation threshold and jamming coverage shows a non-universal behavior, monotonicallydecreasing to zero with increasing k.