An Exactly Solvable Two-Way Traffic Model With Ordered Sequential Update

TL;DR

This paper introduces an exactly solvable two-species traffic flow model with ordered sequential updates, revealing phase transitions between free flow and jams, and compares it to models with random updates.

Contribution

It presents a novel two-way traffic model with ordered sequential update and analyzes its phase transition behavior, expanding understanding of traffic flow dynamics.

Findings

Identifies a phase transition between free flow and traffic jam.

Shows differences between ordered and random sequential update models.

Provides exact solutions within the matrix product ansatz framework.

Abstract

Within the formalism of martix product ansatz, we study a two-species asymmetric exclusion process with backward and forward site-ordered sequential update. This model describes a two-way traffic flow with a dynamical impurity and shows a phase transition between the free flow and the traffic jam. We investigate characteristics of this jamming and examine similarities and differences between our results and those with random sequential update.