Asymmetric simple exclusion processes with diffusive bottlenecks
- 2 December 2004
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 70 (6) , 066104
- https://doi.org/10.1103/physreve.70.066104
Abstract
One-dimensional asymmetric simple exclusion processes (ASEPs) that are coupled to external reservoirs via diffusive transport are studied. These ASEPs consist of active compartments characterized by directed movements of the particles and diffusive compartments in which the particles undergo unbiased diffusion. Phase diagrams are obtained by a self-consistent mean field approach and by Monte Carlo simulations. The diffusive compartments act as diffusive bottlenecks if the velocity of the driven compartments or ASEPs is sufficiently large. A diffusive bottleneck at the boundary of the system leads to the absence of a maximal current phase, while a diffusive bottleneck in the interior of the system leads to a new phase characterized by different densities in the two active compartments adjacent to the diffusive one and to a maximal current defined by the bottleneck.Keywords
All Related Versions
This publication has 11 references indexed in Scilit:
- Walks of molecular motors in two and three dimensionsEurophysics Letters, 2002
- Random Walks of Cytoskeletal Motors in Open and Closed CompartmentsPhysical Review Letters, 2001
- Phase diagram of one-dimensional driven lattice gases with open boundariesJournal of Physics A: General Physics, 1998
- Asymmetric simple exclusion model with local inhomogeneityJournal of Physics A: General Physics, 1998
- Phase transitions in an exactly soluble one-dimensional exclusion processJournal of Statistical Physics, 1993
- Exact solution of a 1D asymmetric exclusion model using a matrix formulationJournal of Physics A: General Physics, 1993
- An exact solution of a one-dimensional asymmetric exclusion model with open boundariesJournal of Statistical Physics, 1992
- Finite-size effects and shock fluctuations in the asymmetric simple-exclusion processPhysical Review A, 1992
- Boundary-induced phase transitions in driven diffusive systemsPhysical Review Letters, 1991
- Kinetics of biopolymerization on nucleic acid templatesBiopolymers, 1968