Localization of shocks in driven diffusive systems without particle number conservation

TL;DR

This paper investigates the formation of localized shocks in one-dimensional driven diffusive systems with particle creation and annihilation, providing analytical hydrodynamic descriptions and demonstrating the existence of double density shocks.

Contribution

It introduces a hydrodynamic framework for systems with uncorrelated and correlated steady states, and demonstrates the first analytical evidence of localized double density shocks in such systems.

Findings

Existence of localized double density shocks in driven diffusive systems.

Hydrodynamic equations successfully describe density profiles with shocks.

Monte-Carlo simulations support analytical results.

Abstract

We study the formation of localized shocks in one-dimensional driven diffusive systems with spacially homogeneous creation and annihilation of particles (Langmuir kinetics).We show how to obtain hydrodynamic equations which describe the density profile in systems with uncorrelated steady state as well as in those exhibiting correlations. As a special example of the latter case the Katz-Lebowitz-Spohn model is considered. The existence of a localized double density shock is demonstrated for the first time in one-dimensional driven diffusive systems. This corresponds to phase separation into regimes of three distinct densities, separated by localized domain walls. Our analytical approach is supported by Monte-Carlo simulations.