Ideal and disordered two-lane traffic models

We introduce a simple lattice-based exclusion model which can be considered as a crude representation of traffic on a two-lane motorway. The model is a two-lane generalization of the asymmetric simple exclusion process which is known to reproduce some of the features of single-lane traffic such as shocks and jams. A mean-field analysis for the steady state of the pure two-lane system is supported by Monte Carlo simulations. We then discuss the effect of quenched bond disorder on the current-density relation and draw comparisons with the disordered single-lane case.