Characterization of domain formation during random sequential adsorption of stiff linear $k$-mers onto a square lattice

Abstract

Using computer simulation, we have studied the random sequential adsorption of stiff linear $k$-mers onto a square lattice. Each such particle occupies $k$ adjacent lattice sites. During deposition, the two mutually perpendicular orientations of the particles are equiprobable, hence, a macroscopically isotropic monolayer is formed. However, this monolayer is locally anisotropic, since the deposited particles tend to form domains of particles with the same orientation. Using the "excluded area" concept, we have classified lattice sites into several types and examined how the fraction of each type of lattice site varies as the number of deposited particles increases. The behaviors of these quantities have allowed us to identify the following stages of domain formation (i) the emergence of domain seeds; (ii) the filling of domains; (iii) densification of the domains.

arXiv comment6 pages, 8 figures, 33 references

References in corpus (9)

• Percolation and jamming in random sequential adsorption of linear segments on square lattice
• A New Universality for Random Sequential Deposition of Needles
• The nematic-disordered phase transition in systems of long rigid rods on two dimensional lattices
• A Monte-Carlo Analysis of Percolation of Line-Segments on a Square Lattice
• Continuum random sequential adsorption of polymer on a flat and homogeneous surface
• Percolation and jamming of random sequential adsorption samples of large linear $k$-mers on a square lattice
• Effective modelling of adsorption monolayers built of complex molecules
• Pattern formation in a two-dimensional two-species diffusion model with anisotropic nonlinear diffusivities: a lattice approach
• Monte Carlo simulation of entropy-driven pattern formation in two-dimensional system of rectangular particles