Zero-range process with long-range interactions at a T-junction

TL;DR

This paper investigates a zero-range process with limited long-range interactions at a T-junction, using mean-field analysis and simulations to understand phase behavior in particle transport.

Contribution

It introduces a generalized zero-range process with long-range interactions and develops a self-consistent mean-field approach to analyze phase diagrams.

Findings

Mean-field analysis agrees well with simulations

Phase diagrams reveal traffic-dependent phase transitions

Long-range interactions influence flow dynamics at T-junctions

Abstract

A generalized zero-range process with a limited number of long-range interactions is studied as an example of a transport process in which particles at a T-junction make a choice of which branch to take based on traffic levels on each branch. The system is analysed with a self-consistent mean-field approximation which allows phase diagrams to be constructed. Agreement between the analysis and simulations is found to be very good.