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

G.D. García, F.O. Sanchez-Varretti, P.M. Centres and A.J. Ramirez-Pastor

Physica A: Statistical Mechanics and its Applications, 2015, vol. 436, issue C, 558-564

Abstract: 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 θj=0.918388(16). Our result corrects the 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, being θj(∞)=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.

Keywords: Statistical mechanics of model systems; Random Sequential Adsorption (RSA); Multisite-occupancy; Jamming coverage; Percolation; Monte Carlo methods (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:436:y:2015:i:c:p:558-564

DOI: 10.1016/j.physa.2015.05.073

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