Abstract
Pattern formation occurring in a two-dimensional system of rod-like particles has been simulated using a lattice approach. The rod-like particles were modelled as linear k-mers of two mutually perpendicular orientations (kx - and ky-mers) on a square lattice with periodic boundary conditions (torus). Two different models of random sequential adsorption were used to produce an initial homogeneous and isotropic distribution of k-mers with different packing fraction values. By means of the Monte Carlo technique, translational diffusion of the k-mers was simulated as a random walk, while rotational diffusion was ignored, so, the kx- and ky-mers were considered as individual species. The system tended towards a well-organised nonequilibrium steady state in the form of diagonal stripes for relatively long k-mers (k ≥ 6) and moderate packing fractions (in the interval pdown < p < pup, where both the critical packing fractions pdown and pup were dependent on k).
Highlights
The various complex nonequilibrium phase behavior, orientational ordering, and selforganization have been experimentally observed in vibrated systems composed of shapeanisotropic particles in two dimensions [1, 2, 3, 4, 5, 6, 7, 8]
We examine the effect of packing fraction on the pattern formation using two kinds of random sequential adsorption (RSA) to produce initial homogeneous and isotropic state
We examined the effect of packing fraction, p, on pattern formation
Summary
The various complex nonequilibrium phase behavior, orientational ordering, and selforganization have been experimentally observed in vibrated systems composed of shapeanisotropic (rod-like) particles in two dimensions [1, 2, 3, 4, 5, 6, 7, 8]. Diffusion-driven pattern formation in a 2D system of k-mers has been studied by means of Monte Carlo (MC) simulation [14, 15]. Effect of packing fraction (i.e., surface coverage) on such pattern formation has not been studied in detail.
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