Lane formation in a lattice model for oppositely driven binary particles

Author: Ohta H.  

Publisher: Edp Sciences

E-ISSN: 1286-4854|99|4|40006-40006

ISSN: 0295-5075

Source: EPL (EUROPHYSICS LETTERS), Vol.99, Iss.4, 2012-08, pp. : 40006-40006

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Abstract

A lattice model for oppositely driven binary particles with purely repulsive interactions is investigated on the square lattice. 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.