Phase coexistence phenomena in an extreme case of the misanthrope process with open boundaries

TL;DR

This paper investigates phase coexistence and shock phenomena in a special misanthrope process with open boundaries, using Monte Carlo simulations to analyze density profiles, correlations, and shock dynamics.

Contribution

It introduces a detailed study of phase coexistence and shock behavior in a specific misanthrope process with open boundaries, extending understanding beyond periodic systems.

Findings

Finite-size corrections of density profiles and correlations are characterized.

Localized shocks move slowly to stable bulk positions.

Delocalized and localized shocks exhibit distinct behaviors in asymmetric cases.

Abstract

The misanthrope process is a class of stochastic interacting particle systems, generalizing the simple exclusion process. It allows each site of the lattice to accommodate more than one particle. We consider a special case of the one dimensional misanthrope process whose probability distribution is completely equivalent to the ordinary simple exclusion process under the periodic boundary condition. By imposing open boundaries, high- and low-density domains can coexist in the system, which we investigate by Monte Carlo simulations. We examine finite-size corrections of density profiles and correlation functions, when the jump rule for particles is symmetric. Moreover, we study properties of delocalized and localized shocks in the case of the totally asymmetric jump rule. The localized shock slowly moves to its stable position in the bulk.