{ "id": "1803.09409", "version": "v1", "published": "2018-03-26T04:26:06.000Z", "updated": "2018-03-26T04:26:06.000Z", "title": "Impact of packing fraction on diffusion-driven pattern formation in a two-dimensional system of rod-like particles", "authors": [ "Yuri Yu. Tarasevich", "Valeri V. Laptev", "Valentiva V. Chirkova", "Nikolai I. Lebovka" ], "comment": "10 pages, 10 figures, 20 references; XXIX IUPAP Conference in Computational Physics (CCP2017) https://ccp2017.sciencesconf.org/; submitted to J.Phys.Conf.Ser", "journal": "2018 J. Phys.: Conf. Ser. Vol.1136 P.012015", "doi": "10.1088/1742-6596/1136/1/012015", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "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 ($k \\geq 6$) 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 $k$).", "revisions": [ { "version": "v1", "updated": "2018-03-26T04:26:06.000Z" } ], "analyses": { "keywords": [ "rod-like particles", "packing fraction", "diffusion-driven pattern formation", "two-dimensional system", "random sequential adsorption model" ], "tags": [ "conference paper", "journal article" ], "publication": { "publisher": "IOP" }, "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }