Influence of temperature on percolation in a simple model of flexible chains adsorption

Abstract

We study random sequential adsorption of flexible chains onto a two-dimensional lattice by computer Monte Carlo simulations. The flexibility of chains is controlled by the temperature of the solution via the Boltzmann factor. We investigate the percolation threshold in the system as a function of chain length and temperature. Several temperature regimes are identified, and respective characteristic types of behavior of the system are discussed. Especially, nonmonotonicity of percolation threshold is observed—there appears a characteristic temperature unique for all chain lengths for which the percolation threshold attains its minimum.

Continuum random sequential adsorption of polymer on a flat and homogeneous surface

“…It is possible to extend presented model of polymer by such interactions and find dependence of properties discussed here on for example temperature in a way as in [29,30], where similar RSA problem on a square and triangular lattice has been studied.…”

Monte carlo study of the percolation in two-dimensional polymer systems

“…Recent studies of two-dimensional polymer systems performed by Zia et al have shown interesting behavior of the bond percolation threshold [19–22], however, this model was different from others as polymer chains can cross themselves. The percolation of semi-flexible chains was recently studied by the RSA method [23] showing the temperature dependencies of percolation threshold and a non monotonic behavior of these threshold at some conditions. Mixtures of small objects (oligomers) of a different shape were also studied by means of the RSA method [24] while mixtures of stiff rods and flexible chains appeared to be tractable by a theory (a connectedness Ornstein-Zernike formalism) [25].…”

Statistical Thermodynamics of Lattice Gas Models of Multisite Adsorption

“…Works devoted to the study of k-mers can be divided into two groups according to the shape of the molecule (flexibility), the first group is works devoted to the study of flexible k-mers [48][49][50][51], the second group is works studying the adsorption properties of rigid linear k-mers (rigid rods) [49,51,52]. Theoretical analysis of a multisite adsorption of linear molecules in the general case is rather complicated, and the exact solution for k-mers found only in the simplest one-dimensional case [52,53].…”

“…Influence of temperature on percolation in adsorption systems with flexible k-mers studied in ref. [50] by the Monte Carlo method. There was found an interesting phenomenon -a nonmonotonic behavior of the percolation threshold as function of temperature, i.e.…”