Traffic model with quenched disorder

Using numerical simulations, we study the effects of defects in the road an d of jumping rate Delta t on the phase diagram J-rho. For different level o f disorder, the space-time evolution of particles displays "waves" for both low density and high density phases. Besides, there exist two critical val ues of density, a lower critical value rho(c1) and a upper critical value r ho(c2), in between the current is constant and reaches its maximal value J( max) which increases with increasing the jumping rate Delta t and/or the de gree of disorder c. The critical densities rho(c1) and rho(c2) depend on th e values of Delta t and c. Indeed, when increasing Delta t and/or c, rho(c1 ) increases and rho(c2) decreases. The known results for the perfect road a re also obtained. (C) 1999 Elsevier Science B.V.