Particle morphology effects in random sequential adsorption

Abstract

The properties of the random sequential adsorption of objects of various shapes on a two-dimensional triangular lattice are studied numerically by means of Monte Carlo simulations. The depositing objects are formed by self-avoiding lattice steps, whereby the size of the objects is gradually increased by wrapping the walks in several different ways. The aim of this work is to investigate the impact of the geometrical properties of the shapes on the jamming density θ_{J} and on the temporal evolution of the coverage fraction θ(t). Our results suggest that the order of symmetry axis of a shape exerts a decisive influence on adsorption kinetics near the jamming limit θ_{J}. The decay of probability for the insertion of a new particle onto a lattice is described in a broad range of the coverage θ by the product between the linear and the stretched exponential function for all examined objects. The corresponding fitting parameters are discussed within the context of the shape descriptors, such as rotational symmetry and the shape factor (parameter of nonsphericity) of the objects. Predictions following from our calculations suggest that the proposed fitting function for the insertion probability is consistent with the exponential approach of the coverage fraction θ(t) to the jamming limit θ_{J}.

Pattern formation in a two-dimensional two-species diffusion model with anisotropic nonlinear diffusivities: a lattice approach

“…In recent decades, much attention has been paid to the study of self-assembly in systems of linear k-mers (particles occupying k adjacent adsorption sites) deposited on 2D lattices. A linear k-mer represents the simplest model of an elongated particle with an aspect ratio of k. Computer simulations have been extensively applied to investigate percolation and jamming phenomena for the random sequential absorption (RSA) of k-mers (see, e.g., [15,16,17] and the references therein).…”

Effective modelling of adsorption monolayers built of complex molecules

“…Random sequential adsorption of such dimers may model various adsorption experiments [31,32,33], and gains increasing attention of theoretical studies [34,35,36]. In this section, the dependence of saturated packing fraction of dimers on their width-to-height ratio will be discussed [37,26,38].…”

Jamming and percolation of linear k -mers on honeycomb lattices

“…The model appears to offer a good description of a great variety of complex surface processes such as adsorption of large molecules on solid substrates [1][2][3], particles deposited on cell membranes [4], latex spheres on a silica surface [5,6], etc. However, phenomena associated to irreversible adsorption, such as jamming and percolation, have been attractive and important topics in statistical physics for a long time [7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In the case of percolation theory, the phase transition involved in the process can be described in terms of an usual second-order phase transition.…”

“…Thus, the competition between percolation threshold and jamming coverage is a field of great interest that has been addressed by various authors. In the case of linear k-mers on 2D lattices, which is the topic of this paper, the problem has been widely studied in the literature for square [8][9][10][11][12][13][14] and triangular [15][16][17][18][19][20] geometries.…”

“…Despite over two decades of intensive research on jamming and percolation phenomena in 2D substrates, most studies have focused in the case of square [8][9][10][11][12][13][14] and triangular [15][16][17][18][19][20] lattices, and the problem of elongated k-mers irreversibly adsorbed on honeycomb lattices has not been investigated yet. In this context, the main objective of the present work is to study the jamming and percolation properties of linear rods on 2D honeycomb lattices.…”