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

TL;DR

This paper presents 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 introduces a new exactly solvable model with ordered sequential update for two-way traffic flow, extending previous random update models.

Findings

Identifies a phase transition between free flow and traffic jam.

Analyzes the characteristics of traffic jamming.

Compares ordered and random update models.

Abstract

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