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Updated: Jun 23, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Disordered driven lattice gases with boundary reservoirs and Langmuir kinetics
Philip Greulich1, Andreas Schadschneider
1Fachrichtung Theoretische Physik, Universität des Saarlandes, Saarbrücken, Germany and Institut für Theoretische Physik, Universität zu Köln, D-50937 Köln, Germany.
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.
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