2015/01/25 by G.D. García, G. D. García, García, G. D. +8
Engineering · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #Surface Chemistry and Catalysis #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1501.06174
6 pages, 4 figures
arxiv created 2015/01/25 · openalex publication_date 2015/01/25 · arxiv updated 2015/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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) in the case of dimers (k=2), the jamming coverage is θj=0.918388(16). Our estimate of θj differs significantly from the previously reported value of θj=0.799(2) [Y. Y. Tarasevich and V. A. Cherkasova, Eur. Phys. J. B 60, 97 (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 with increasing k.