A multi-species asymmetric exclusion process;steady state and correlation functions on a periodic lattice

TL;DR

This paper introduces a generalized multi-species ASEP model allowing overtaking, derives exact steady states and correlation functions on a ring, and explores effects of boundary conditions and shock waves in open systems.

Contribution

It extends the ASEP framework to multiple species with overtaking, providing exact solutions and analyzing boundary effects and shock phenomena.

Findings

Exact steady state and correlation functions on a ring

Impact of boundary conditions on bulk properties

Potential for shock waves in open systems

Abstract

By generalizing the algebra of operators of the Asymmetric Simple Exclusion Process (ASEP), a multi-species ASEP in which particles can overtake each other,is defined on both open and closed one dimensional chains. On the ring the steady state and the correlation functions are obtained exactly. The relation to particle hopping models of traffic and the possibility of shock waves in open systems is discussed. The effect of the boundary condition on the steady state properties of the bulk is studied.