---
abstract: 'The asymmetric simple exclusion process with additional Langmuir kinetics, i.e. attachment and detachment in the bulk, is a paradigmatic model for intracellular transport. Here we study this model in the presence of randomly distributed inhomogeneities (’defects’). Using Monte Carlo simulations, we find a multitude of coexisting high- and low-density domains. The results are generic for one-dimensional driven diffusive systems with short-range interactions and can be understood in terms of a [*local*]{} extremal principle for the current [*profile*]{}. This principle is used to determine current profiles and phase diagrams as well as statistical properties of ensembles of defect samples.'
author:
- Philip Greulich
- Andreas Schadschneider
title: Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
---

Introduction {#model_intro}
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Despite several recent investigations [@barma1; @barma2; @DTASEP_krug; @jain_DZRP; @ShawKL2004; @enaud; @ChouL2004b; @harris_MF; @LakatosBC.2006; @barma3; @PASEP_dis_santen; @prot_prod_zia2; @DTASEP_num; @GreulichS08; @GreulichS08a; @GrzeschikHS08] the influence of sitewise disorder in driven lattice gases is not yet fully understood [@disorder_stinche].

One focus of studies on the influence of disorder and inhomogeneities was the Asymmetric Simple Exclusion Process (ASEP), especially its totally asymmetric variant (TASEP). This process is not only believed to capture the essentials of driven diffusive systems, but its homogeneous version is 