English

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

Statistical Mechanics 2019-03-27 v1 Soft Condensed Matter

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 Lx/LyL_x/L_y where LxL_x and LyLy are the linear sizes of the system and only for `needles', i.e., the particles of size 1×k1 \times k. Different patterns were observed for `blind' and `myopic' particles.

Keywords

Cite

@article{arxiv.1809.00790,
  title  = {Monte Carlo simulation of entropy-driven pattern formation in two-dimensional system of rectangular particles},
  author = {Yuri Yu. Tarasevich and Andrei V. Eserkepov and Valentina V. Chirkova and Valeria A. Goltseva},
  journal= {arXiv preprint arXiv:1809.00790},
  year   = {2019}
}

Comments

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

R2 v1 2026-06-23T03:53:16.219Z