Eur. Phys. J. B 36, 391-399 (2003)
https://doi.org/10.1140/epjb/e2003-00358-1

Percolation of polyatomic species on a square lattice

Departamento de Física, Universidad Nacional de San Luis, CONICET, Chacabuco 917, 5700 San Luis, Argentina

Corresponding author: ^a fnieto@unsl.edu.ar

Received: 15 May 2003
Revised: 3 September 2003
Published online: 23 December 2003

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. Phase transitions and critical phenomena