Asymmetric exclusion processes on a closed network with bottlenecks
arXiv:1403.0206 · doi:10.1088/1742-5468/2015/01/P01012
Abstract
We study the generic non-equilibrium steady states in asymmetric exclusion processes on a closed network with bottlenecks. To this end we proposes and study closed simple networks with multiply-connected non-identical junctions. Depending upon the parameters that define the network junctions and the particle number density, the models display phase transitions with both static and moving density inhomogeneities. The currents in the models can be tuned by the junction parameters. Our models highlight how extended and point defects may affect the density profiles in a closed directed network. Phenomenological implications of our results are discussed.
18 pages, 14 figures
References in corpus (14)
- Traffic and Related Self-Driven Many-Particle Systems
- Statistical Physics of Vehicular Traffic and Some Related Systems
- Phase transitions in an exactly soluble one-dimensional exclusion process
- Discrete stochastic models for traffic flow
- Phase Coexistence in Driven One Dimensional Transport
- Modeling Translation in Protein Synthesis with TASEP: A Tutorial and Recent Developments
- The totally asymmetric simple exclusion process on networks
- Bulk-driven non-equilibrium phase transitions in a mesoscopic ring
- Traffic disruption and recovery in road networks
- Totally asymmetric simple exclusion process with a time-dependent boundary: interaction between vehicles and pedestrians at intersections
- Can car density in a two-lane section depend on the position of the latter in a single-lane road?
- Phase transition and phase coexistence in coupled rings with driven exclusion process
- One-dimensional Particle Processes with Acceleration/Braking Asymmetry
- Asymmetric exclusion model with several kinds of impurities