Lane formation in a lattice model for oppositely driven binary particles
Statistical Mechanics
2025-01-06 v2 Soft Condensed Matter
Abstract
Oppositely driven binary particles with repulsive interactions on the square lattice are investigated at the zero-temperature limit. Two classes of steady states related to stuck configurations and lane formations have been constructed in systematic ways under certain conditions. A mean-field type analysis carried out using a percolation problem based on the constructed steady states provides an estimation of the phase diagram, which is qualitatively consistent with numerical simulations. Further, finite size effects in terms of lane formations are discussed.
Cite
@article{arxiv.1205.0709,
title = {Lane formation in a lattice model for oppositely driven binary particles},
author = {Hiroki Ohta},
journal= {arXiv preprint arXiv:1205.0709},
year = {2025}
}
Comments
6 pages, 8 figures,v2; some corrections in the text have been made