Transverse diffusion induced phase transition in asymmetric exclusion process on a surface

TL;DR

This paper investigates how transverse diffusion in a surface-extended ASEP causes a continuous phase transition from constant density to maximal current, highlighting finite size effects and boundary layer modifications.

Contribution

It introduces a surface extension of ASEP and demonstrates that transverse diffusion induces a nonequilibrium phase transition, a novel insight into surface-driven transport phenomena.

Findings

Transverse diffusion causes a continuous phase transition in ASEP.

Finite size effects are significant near the transition.

Boundary layer modifications explain phase behavior.

Abstract

We extend one dimensional asymmetric simple exclusion process (ASEP) to a surface and show that the effect of transverse diffusion is to induce a continuous phase transition from a constant density phase to a maximal current phase as the forward transition probability $p$ is tuned. The signature of the nonequilibrium transition is in the finite size effects near it. The results are compared with similar couplings operative only at the boundary. It is argued that the nature of the phases can be interpreted in terms of the modifications of boundary layers.