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Influence of defects on the effective electrical conductivity of a monolayer produced by random sequential adsorption of linear k-mers onto a square lattice

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  • Tarasevich, Yuri Yu.
  • Laptev, Valeri V.
  • Goltseva, Valeria A.
  • Lebovka, Nikolai I.

Abstract

The effect of defects on the behaviour of electrical conductivity, σ, in a monolayer produced by the random sequential adsorption of linear k-mers (particles occupying k adjacent sites) onto a square lattice is studied by means of a Monte Carlo simulation. The k-mers are deposited on the substrate until a jamming state is reached. The presence of defects in the lattice (impurities) and of defects in the k-mers with concentrations of dl and dk, respectively, is assumed. The defects in the lattice are distributed randomly before deposition and these lattice sites are forbidden for the deposition of k-mers. The defects of the k-mers are distributed randomly on the deposited k-mers. The sites filled with k-mers have high electrical conductivity, σk, whereas the empty sites, and the sites filled by either types of defect have a low electrical conductivity, σl, i.e., a high-contrast, σk∕σl≫1, is assumed. We examined isotropic (both the possible x and y orientations of a particle are equiprobable) and anisotropic (all particles are aligned along one given direction, y) deposition. To calculate the effective electrical conductivity, the monolayer was presented as a random resistor network and the Frank–Lobb algorithm was used. The effects of the concentrations of defects dl and dk on the electrical conductivity for the values of k=2n, where n=1,2,…,5, were studied. Increase of both the dl and dk parameters values resulted in decreases in the value of σ and the suppression of percolation. Moreover, for anisotropic deposition the electrical conductivity along the y direction was noticeably larger than in the perpendicular direction, x. Phase diagrams in the (dl,dk)-plane for different values of k were obtained.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:477:y:2017:i:c:p:195-203
    DOI: 10.1016/j.physa.2017.02.084
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    References listed on IDEAS

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    1. Cornette, V. & Ramirez-Pastor, A.J. & Nieto, F., 2011. "Random sequential adsorption of polyatomic species with the presence of impurities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 671-679.
    2. Dolz, M. & Nieto, F. & Ramirez-Pastor, A.J., 2007. "Percolation processes in monomer-polyatomic mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 239-250.
    3. V. A. Cherkasova & Y. Y. Tarasevich & N. I. Lebovka & N. V. Vygornitskii, 2010. "Percolation of aligned dimers on a square lattice," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 74(2), pages 205-209, March.
    4. Wiśniowski, R. & Olchawa, W. & Frączek, D. & Piasecki, R., 2016. "On multi-scale percolation behaviour of the effective conductivity for the lattice model with interacting particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 799-807.
    5. 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.
    6. Centres, P.M. & Bulnes, F. & Ramirez-Pastor, A.J., 2010. "Monte Carlo study of percolation on disordered triangular lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4688-4695.
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