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