Edinburgh Research Explorer

Current-density relation in the exclusion process with dynamic obstacles

Research output: Contribution to journalArticlepeer-review

Related Edinburgh Organisations

Open Access permissions



Original languageEnglish
Article number042117
Number of pages12
JournalPhysical Review E
Issue number4
Publication statusPublished - 14 Oct 2020


We investigate the totally asymmetric simple exclusion process (TASEP) in the presence of obstacles that dynamically bind and unbind from the lattice. The model is motivated by biological processes such as transcription in the presence of DNA-binding proteins. Similar models have been studied before using the mean-field approximation, but the exact relation between the particle current and density remains elusive. Here, we first show using extensive Monte Carlo simulations that the current-density relation in this model assumes a quasi-parabolic form similar to that of the ordinary TASEP without obstacles. We then attempt to explain this relation using exact calculations in the limit of low and high density of particles. Our results suggest that the symmetric, quasi-parabolic current-density relation arises through a non-trivial cancellation of higher-order terms, similarly as in the standard TASEP.

    Research areas

  • cond-mat.stat-mech

Download statistics

No data available

ID: 166991363