Cellular Automaton Model for Biased Diffusive Traffic Flow

Abstract

A new stochastic discrete space-time model is proposed to simulate abiased diffusive system of two species in two dimensions. A very simple rule set which prohibits the multiple occupancy of a latticesites by particles while conserving their number, is used to definethe dynamics.We found that spatial inhomogeneous bands in high-density statespromptly form as the time step increases.The biased diffusive cell automaton (BDCA) model is analyzed and discussed.