Lane formation in a lattice model for oppositely driven binary particles

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.

6 pages, 8 figures,v2; some corrections in the text have been made

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Cited by in corpus (4)

• Laning and Clustering Transitions in Driven Binary Active Matter Systems
• Lane formation dynamics of oppositely self-driven binary particles: Effects of density and finite system size
• Metastability on the steady states in a Fermi-like model of counterflowing particles
• Emergent centrality in rank-based supplanting process