Asymmetric simple exclusion process describing conflicting traffic flows

TL;DR

This paper models conflicting traffic flows at an intersection without traffic lights using the asymmetric simple exclusion process, revealing how interactions act as dynamic impurities affecting traffic dynamics.

Contribution

It introduces a novel application of the asymmetric simple exclusion process to model intersection traffic without control signals, highlighting the impact of interactions as dynamic impurities.

Findings

Fundamental diagrams of traffic flow are derived.

Interaction effects can be modeled as dynamic impurities.

Mean-field and simulation results agree on key characteristics.

Abstract

We use the asymmetric simple exclusion process for describing vehicular traffic flow at the intersection of two streets. No traffic lights control the traffic flow. The approaching cars to the intersection point yield to each other to avoid collision. This yielding dynamics is model by implementing exclusion process to the intersection point of the two streets. Closed boundary condition is applied to the streets. We utilize both mean-field approach and extensive simulations to find the model characteristics. In particular, we obtain the fundamental diagrams and show that the effect of interaction between chains can be regarded as a dynamic impurity at the intersection point.