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Percolation of polyatomic species on a square lattice

Author

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  • V. Cornette
  • A. Ramirez-Pastor
  • F. Nieto

Abstract

In this paper, the percolation of (a) linear segments of size k and(b) k-mers of different structures and forms deposited on a square lattice have been studied. In the latter case, site and bond percolation have been examined. The analysis of results obtained by using finite size scaling theory is performed in order to test the universality of the problem by determining the numerical values of the critical exponents of the phase transition occurring in the system. It is also determined that the percolation threshold exhibits a exponentially decreasing function when it is plotted as a function of the k-mer size. The characteristic parameters of that function are dependent not only on the form and structure of the k-mers but also on the properties of the lattice where they are deposited. Copyright Springer-Verlag Berlin/Heidelberg 2003

Suggested Citation

  • V. Cornette & A. Ramirez-Pastor & F. Nieto, 2003. "Percolation of polyatomic species on a square lattice," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 36(3), pages 391-399, December.
    • Handle: RePEc:spr:eurphb:v:36:y:2003:i:3:p:391-399
    DOI: 10.1140/epjb/e2003-00358-1
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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).
    2. D. Dujak & A. Karač & Lj. Budinski-Petković & Z. M. Jakšić & S. B. Vrhovac, 2022. "Percolation and jamming properties in particle shape-controlled seeded growth model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-16, September.
    3. Šćepanović, J.R. & Karač, A. & Jakšić, Z.M. & Budinski-Petković, Lj. & Vrhovac, S.B., 2019. "Group chase and escape in the presence of obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 450-465.
    4. Tarasevich, Yuri Yu. & Laptev, Valeri V. & Goltseva, Valeria A. & Lebovka, Nikolai I., 2017. "Influence of defects on the effective electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 195-203.

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