Lane formation in a lattice model for oppositely driven binary particles
LPTMS, CNRS and Université Paris-Sud - 91405 Orsay Cedex, France, EU
Received: 14 May 2012
Accepted: 25 July 2012
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.
PACS: 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.) / 47.54.-r – Pattern selection; pattern formation / 64.60.ah – Percolation
© EPLA, 2012