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

Author

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

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.

Suggested Citation

  • García, G.D. & Sanchez-Varretti, F.O. & Centres, P.M. & Ramirez-Pastor, A.J., 2015. "Random sequential adsorption of straight rigid rods on a simple cubic lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 558-564.
    • Handle: RePEc:eee:phsmap:v:436:y:2015:i:c:p:558-564
    DOI: 10.1016/j.physa.2015.05.073
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    Cited by:

    1. Huang, Xudong & Yang, Dong & Kang, Zhiqin, 2021. "Impact of pore distribution characteristics on percolation threshold based on site percolation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).

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