Percolation of aligned rigid rods on two-dimensional square lattices

P. LONGONE; CENTRES P. M.; RAMIREZ PASTOR A. J.

AMER PHYSICAL SOC

Lugar: New York; Año: 2012 vol. 85 p. 11108 - 11108

The percolation behavior of aligned rigid rods of length k (kmers) on two-dimensional square lattices has been studied by numerical simulations and finite-size scaling analysis. The kmers, containing k identical units (each one occupying a lattice site), were irreversibly deposited along one of the directions of the lattice. The process was monitored by following the probability RL,k(p) that a lattice composed of L × L sites percolates at a concentration p of sites occupied by particles of size k. The results, obtained for k ranging from 1 to 14, show that (i) the percolation threshold exhibits a decreasing function when it is plotted as a function of the kmer size; (ii) forany value of k (k > 1), the percolation threshold is higher for aligned rods than for rods isotropically deposited; (iii) the phase transition occurring in the system belongs to the standard random percolation universality class regardless of the value of k considered; and (iv) in the case of aligned kmer