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

Yuri Yu. Tarasevich; Andrei V. Eserkepov; Valentina V. Chirkova; Valeria A. Goltseva

doi:10.1088/1742-6596/1163/1/012007

paper

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

arXiv:1809.00790 · doi:10.1088/1742-6596/1163/1/012007

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 $L y$ 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.

6 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