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

¹ Theoretische Physik, Universität des Saarlandes - 66041 Saarbrücken, Germany
² Mathematical Informatics, The University of Tokyo - 113-8656 Tokyo, Japan

^(a) c.arita@physik.uni-saarland.de
^(b) matsui@mist.i.u-tokyo.ac.jp

Received: 3 May 2016
Accepted: 29 June 2016

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.