In this paper, the adsorption of interacting binary mixtures on square lattices has been studied. By using Monte Carlo simulation and finite-size scaling analysis, the connection between the surface ordered phases and the percolating properties of the adsorbed phase has been investigated. A rich...

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...

The percolation problem of irreversibly deposited dimers on square lattices with two kinds of sites is studied. Simple adsorptive surfaces are generated by square patches of l×l sites, which can be either arranged in a deterministic chessboard structure or in a random way. Thus, the system can...

In this paper, the percolation of mixtures of monomers and polyatomic species (k-mers) on a square lattice is studied. By means of a finite-size scaling analysis, the critical exponents and the scaling collapsing of the fraction of percolating lattices are found. A phase diagram separating a...

A theoretical approach, based on exact calculations of configurations on finite rectangular cells, is applied to study the percolation of homonuclear dimers on square lattices. An efficient algorithm allows us to calculate the detailed structure of the configuration space for M=Lx×Ly cells,...

The site percolation problem on square lattices whose sites are grouped in two types of energetically different patches is studied. Several lattices formed by collections of either randomly or orderly localized and no overlapped patches of different sizes are generated. The system is...

The percolation problem of interacting particles on square lattices with two kinds of energetically different sites is studied. Square lattices formed by collections of either randomly or orderly distributed sites are generated. The system is characterized by two parameters, namely, the...

A generalization of the pure site and pure bond percolation problems called site–bond percolation on a triangular lattice is studied. Motivated by considerations of cluster connectivity, two distinct schemes (denoted as S∩B and S∪B) for site–bond percolation are used. In S∩B (S∪B),...

Percolation due to the simultaneous occupation of two neighboring bond sites, namely a bond dimer, is considered here by means of the renormalization cell technique providing an analytic way to obtain results such as percolation threshold, jamming coverage and critical exponents. This is...