Monte Carlo simulation of entropy-driven pattern formation in two-dimensional system of rectangular particles

Abstract

We simulated random walk of rectangular particles on a square lattice with periodic boundary conditions. Two kind of particles were investigated, viz., so-called `blind' and `myopic' particles. We found that steady state patterns occurred only for some values of the ratio $L_x/L_y$ where $L_x$ and $Ly$ are the linear sizes of the system and only for `needles', i.e., the particles of size $1\times k$. Different patterns were observed for `blind' and `myopic' particles.

arXiv comment6 pages, 9 figures; to be presented at International Conference on Computer Simulation in Physics and beyond, September 24-27, 2018, Moscow, Russia http://csp2018.ac.ru/ and to be submitted to J.Phys.Conf.Ser

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Cited by in corpus (1)

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