Note on the flux for TASEP with general disorder

TL;DR

This paper extends previous work to demonstrate that the flux rate in TASEP with i.i.d. disorder consistently exhibits a density plateau around 0.5, revealing a robust feature of the system's behavior.

Contribution

It provides a new theoretical result showing the universal presence of a flux plateau in TASEP with general disorder, expanding understanding of its phase behavior.

Findings

Flux rate has a plateau around density 0.5 in TASEP with i.i.d. disorder

Extends previous results to more general disorder distributions

Confirms robustness of the flux plateau phenomenon

Abstract

Extending results of Bahadoran and Bodineau we show that the flux rate of TASEP with independent and identically distributed disorder always has a plateau of densities around $\frac12$.