Impact of packing fraction on diffusion-driven pattern formation in a two-dimensional system of rod-like particles

Abstract

Pattern formation in a two-dimensional system of rod-like particles has been simulated using a lattice approach. Rod-like particles were modelled as linear $k$-mers of two mutually perpendicular orientations ($k_x$- and $k_y$-mers) on a square lattice with periodic boundary conditions (torus). Two kinds of random sequential adsorption model were used to produce the initial homogeneous and isotropic distribution of $k$-mers with different values of packing fraction. 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, $k_x$- and $k_y$-mers were considered as individual species. The system tends toward a well-organized nonequilibrium steady state in the form of diagonal stripes for the relatively long $k$-mer ($k\ge 6$) and moderate packing densities (in the interval $p_{down}<p<p_{up}$, where both the critical packing fractions $p_{down}$ and $p_{up}$ are depended on $k$).

arXiv comment10 pages, 10 figures, 20 references; XXIX IUPAP Conference in Computational Physics (CCP2017) https://ccp2017.sciencesconf.org/; submitted to J.Phys.Conf.Ser

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