Modelling particle transport in synchronous exclusion processes with local defect

摘要

We study the effects of local defect in synchronous exclusion processes via theoretical analysis and Monte Carlo simulations.Local defect can be relevant for many biological transport processes as well as vehicular and pedestrian traffic flow.Our theoretical analysis shows that there are four possible stationary phases ((low density,low density),(low density,high density),(high density,low density) and (high density,high density)) in the system.The investigation of the influence of p (a hopping probability of particles at local defect) on density and current profiles indicates that when ?(entrance rate) and ?(exit rate) are fixed,the value of p determines phase transitions.A phenomenological domain wall approach is developed to predict dynamic behavior at phase boundaries.Density profiles obtained from theoretical calculation are in good agreement with Monte Carlo simulations.