Phase coexistence in driven one-dimensional transport
- PMID: 12633448
- DOI: 10.1103/PhysRevLett.90.086601
Phase coexistence in driven one-dimensional transport
Abstract
We study a one-dimensional totally asymmetric exclusion process with random particle attachments and detachments in the bulk. The resulting dynamics leads to unexpected stationary regimes for large but finite systems. Such regimes are characterized by a phase coexistence of low and high density regions separated by domain walls. We use a mean-field approach to interpret the numerical results obtained by Monte Carlo simulations, and we predict the phase diagram of this nonconserved dynamics in the thermodynamic limit.
Similar articles
-
Totally asymmetric simple exclusion process with Langmuir kinetics.Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Oct;70(4 Pt 2):046101. doi: 10.1103/PhysRevE.70.046101. Epub 2004 Oct 6. Phys Rev E Stat Nonlin Soft Matter Phys. 2004. PMID: 15600454
-
Driven lattice gas of dimers coupled to a bulk reservoir.Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Sep;74(3 Pt 1):031920. doi: 10.1103/PhysRevE.74.031920. Epub 2006 Sep 28. Phys Rev E Stat Nonlin Soft Matter Phys. 2006. PMID: 17025680
-
Dynamic correlation functions and Boltzmann-Langevin approach for driven one-dimensional lattice gas.Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Sep;72(3 Pt 2):036123. doi: 10.1103/PhysRevE.72.036123. Epub 2005 Sep 26. Phys Rev E Stat Nonlin Soft Matter Phys. 2005. PMID: 16241531
-
Power spectra of the total occupancy in the totally asymmetric simple exclusion process.Phys Rev Lett. 2007 Jul 13;99(2):020601. doi: 10.1103/PhysRevLett.99.020601. Epub 2007 Jul 10. Phys Rev Lett. 2007. PMID: 17678208
-
Bidirectional transport in a multispecies totally asymmetric exclusion-process model.Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Sep;84(3 Pt 1):031921. doi: 10.1103/PhysRevE.84.031921. Epub 2011 Sep 20. Phys Rev E Stat Nonlin Soft Matter Phys. 2011. PMID: 22060417
Cited by
-
Crowding of molecular motors determines microtubule depolymerization.Biophys J. 2011 Nov 2;101(9):2190-200. doi: 10.1016/j.bpj.2011.09.009. Epub 2011 Nov 1. Biophys J. 2011. PMID: 22067158 Free PMC article.
-
Stepping and crowding of molecular motors: statistical kinetics from an exclusion process perspective.Biophys J. 2014 Sep 2;107(5):1176-1184. doi: 10.1016/j.bpj.2014.07.012. Biophys J. 2014. PMID: 25185553 Free PMC article.
-
Crowding and Pausing Strongly Affect Dynamics of Kinesin-1 Motors along Microtubules.Biophys J. 2018 Sep 18;115(6):1068-1081. doi: 10.1016/j.bpj.2018.07.017. Epub 2018 Jul 25. Biophys J. 2018. PMID: 30146266 Free PMC article.
-
Molecular spiders with memory.Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Aug;76(2 Pt 1):021121. doi: 10.1103/PhysRevE.76.021121. Epub 2007 Aug 24. Phys Rev E Stat Nonlin Soft Matter Phys. 2007. PMID: 17930020 Free PMC article.
-
Motor Protein Accumulation on Antiparallel Microtubule Overlaps.Biophys J. 2016 May 10;110(9):2034-43. doi: 10.1016/j.bpj.2016.03.039. Biophys J. 2016. PMID: 27166811 Free PMC article.
LinkOut - more resources
Full Text Sources