Domain wall of the totally asymmetric exclusion process without particle number conservation

TL;DR

This paper investigates the properties and conditions for the existence of domain walls in a totally asymmetric exclusion process without particle number conservation, combining theoretical analysis with computer simulations.

Contribution

It provides the first comprehensive theoretical framework for domain wall existence and properties in this non-conserving exclusion process.

Findings

Derived necessary and sufficient conditions for domain wall existence

Analyzed domain wall location and height theoretically

Validated results through computer simulations

Abstract

In this research, the totally asymmetric exclusion process without particle number conservation is discussed. Based on the mean field approximation and the Rankine-Hugoniot condition, the necessary and sufficient conditions of the existence of the domain wall have been obtained. Moreover, the properties of the domain wall, including the location and height, have been studied theoretically. All the theoretical results are demonstrated by the computer simulations.