Exclusion Processes with Internal States

TL;DR

This paper introduces a new class of driven exclusion processes with internal states, revealing complex polarization phenomena and phase behavior, supported by analytic solutions and stochastic simulations.

Contribution

It presents a novel model of exclusion processes with internal states, providing exact phase diagrams and analyzing polarization and domain wall dynamics.

Findings

Discovery of polarization and domain wall delocalization phenomena.

Exact phase diagrams derived analytically.

Validation through stochastic simulations.

Abstract

We introduce driven exclusion processes with internal states that serve as generic transport models in various contexts, ranging from molecular or vehicular traffic on parallel lanes to spintronics. The ensuing non-equilibrium steady states are controllable by boundary as well as bulk rates. A striking polarization phenomenon accompanied by domain wall motion and delocalization is discovered within a mesoscopic scaling. We quantify this observation within an analytic description providing exact phase diagrams. Our results are confirmed by stochastic simulations.