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Monte Carlo study of percolation on disordered triangular lattices

Author

Listed:
  • Centres, P.M.
  • Bulnes, F.
  • Ramirez-Pastor, A.J.

Abstract

A simple model for amorphous solids, consisting of a mixed bond triangular lattice with a fraction of attenuated bonds randomly distributed (which simulate the presence of defects in the surface), is studied here by using computational simulation. The degree of disorder of the surface is tunable by selecting the values of (1) the fraction of regular [attenuated] bonds ρ [1−ρ] (0≤ρ≤1) and (2) the factor r, which is defined as the ratio between the value of the conductivity associated to an attenuated bond and that corresponding to a regular bond (0≤r≤1). The results obtained show how the percolation properties of the disordered system are modified with respect to the standard random bond percolation problem (r=0).

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:21:p:4688-4695
    DOI: 10.1016/j.physa.2010.06.042
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    Cited by:

    1. 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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