Theoretical analysis and computer simulation of dynamic processes for a driven diffusive two-lane system

摘要

The driven diffusive system is a powerful tool to investigate properties of nonequilibrium state statistical physics, vehicle traffic, and biological transport systems. This paper presents a two-channel asymmetric exclusion process model, in which collective dynamics with interactions of particles between two lanes are considered. Computer simulation and mean-field analysis are carried out to calculate the flow rate under periodic boundary. On the whole, the results from the two-vertical-horizontal-cluster mean-field method are in good agreement with the simulation results. Two types of phases including double peaked and single peaked appear in the flow rate of the system. Based on investigating the coarsening process of the system, one can get a conjecture that the system is homogeneous when the critical density at which normalized residence distribution turns into nonmonotonous variability from monotonous decrease equals 0.5. These findings may be helpful to deeply understand the dynamic features of nonequilibrium state systems and traffic or transport systems.