Traffic jams induced by rare switching events in two-lane transport

Abstract

We investigate a model for driven exclusion processes where internal states are assigned to the particles. The latter account for diverse situations, ranging from spin states in spintronics to parallel lanes in intracellular or vehicular traffic. Introducing a coupling between the internal states by allowing particles to switch from one to another induces an intriguing polarization phenomenon. In a mesoscopic scaling, a rich stationary regime for the density profiles is discovered, with localized domain walls in the density profile of one of the internal states being feasible. We derive the shape of the density profiles as well as resulting phase diagrams analytically by a mean-field approximation and a continuum limit. Continuous as well as discontinuous lines of phase transition emerge, their intersections induce multicritical behavior.

27 pages, 9 figures. Minor changes, published version

References in corpus (6)

• Phase Coexistence in Driven One Dimensional Transport
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• Traffic of molecular motors through tube-like compartments
• Asymmetric Coupling in Two-Channel Simple Exclusion Processes
• Exclusion Processes with Internal States
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• Traffic of single-headed motor proteins KIF1A: effects of lane changing
• Domain wall delocalization, dynamics and fluctuations in an exclusion process with two internal states
• Self-organized lane-formation in bidirectional transport of molecular motors
• Stochastic modelling of collective motor protein transport through a crossing of microtubules
• Traffic models and traffic-jam transition in quantum ($N$+1)-level systems
• Two-lane totally asymmetric simple exclusion process with extended Langmuir kinetics
• Non-local response in a lattice gas under a shear drive
• Optimization of transition behaviors in a two-lane system