Two-lane totally asymmetric simple exclusion process with extended Langmuir kinetics
arXiv:2101.10722 · doi:10.1103/PhysRevE.105.014128
Abstract
Multi-lane totally asymmetric simple exclusion processes with interactions between the lanes have recently been investigated actively. This paper proposes a two-lane model with extended Langmuir kinetics on a periodic lattice. Both bidirectional and unidirectional flows are investigated. In our model, the hopping, attachment, and detachment rates vary depending on the state of the corresponding site in the other lane. We obtain a theoretical expression for the global density of the system in the steady state from three kinds of mean-field analyses (1-, 2-, and 4-cluster cases). We verify that the 4-cluster mean-field analysis approximates well the results of computer simulations for the two directional flows and reproduces the differences between them. We expect these findings to contribute to a deeper understanding of the dynamic features of actual traffic systems.
arXiv comment17 pages, 9 figures, 4 tables
References in corpus (26)
- Traffic and Related Self-Driven Many-Particle Systems
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- Phase Coexistence in Driven One Dimensional Transport
- The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
- Intra-cellular transport of single-headed molecular motors KIF1A
- Shock formation in an exclusion process with creation and annihilation
- Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
- Phase transitions in systems with two species of molecular motors
- Traffic jams induced by rare switching events in two-lane transport
- Facilitated Asymmetric Exclusion
- Phase diagram of two-lane driven diffusive systems
- Shock-dynamics of two-lane driven lattice gases
- Driven diffusive systems with mutually interactive Langmuir kinetics
- Exclusive Queueing Processes and their Application to Traffic Systems
- A Deterministic Mathematical Model for Bidirectional Excluded Flow with Langmuir Kinetics
- Dynamics at barriers in bidirectional two-lane exclusion processes
- Phase-plane analysis of driven multi-lane exclusion models
- Bidirectional transport and pulsing states in a multi-lane ASEP model
- Particle interactions and lattice dynamics: Scenarios for efficient bidirectional stochastic transport?
- Spontaneous pulsing states in an active particle system
- Velocity control for improving flow through a bottleneck
- Coordination game in bidirectional flow
- Effect of self-deflection on a totally asymmetric simple exclusion process with functions of site-assignments
- Effect of walking-distance on a queuing system of totally asymmetric simple exclusion process equipped with functions of site assignments
- A Biologically Motivated Asymmetric Exclusion Process: interplay of congestion in RNA polymerase traffic and slippage of nascent transcript
- Dependence of the transportation time on the sequence in which particles with different hopping probabilities enter a lattice