Shock-dynamics of two-lane driven lattice gases

Abstract

Driven lattice gases as the ASEP are useful tools for the modeling of various stochastic transport processes carried out by self-driven particles, such as molecular motors or vehicles in road traffic. Often these processes take place in one-dimensional systems offering several tracks to the particles, and in many cases the particles are able to change track with a given rate. In this work we consider the case of strong coupling where the hopping rate along the tracks and the exchange rates are of the same order, and show how a phenomenological approach based on a domain wall theory can describe the dynamics of the system. In particular, the domain walls on the different tracks form pairs, whose dynamics dominate the behavior of the system.

accepted for publication in JSTAT

References in corpus (6)

• Phase Coexistence in Driven One Dimensional Transport
• The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
• Asymmetric Coupling in Two-Channel Simple Exclusion Processes
• Exclusion Processes with Internal States
• Traffic jams induced by rare switching events in two-lane transport
• Domain wall delocalization, dynamics and fluctuations in an exclusion process with two internal states

Cited by in corpus (19)

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• Exclusion processes on networks as models for cytoskeletal transport
• Phase diagram of two-lane driven diffusive systems
• Generic transport mechanisms for molecular traffic in cellular protrusions
• Multilane driven diffusive systems
• Non-Markovian Models of Blocking in Concurrent and Countercurrent Flows
• Spontaneous symmetry breaking in a two-lane model for bidirectional overtaking traffic
• Phase segregation and transport in a two species multi-lane system
• Particle interactions and lattice dynamics: Scenarios for efficient bidirectional stochastic transport?
• Role of interactions and correlations on collective dynamics of molecular motors along parallel filaments
• Exact domain wall theory for deterministic TASEP with parallel update
• Two-lane totally asymmetric simple exclusion process with extended Langmuir kinetics
• Generalized model of blockage in particulate flow limited by channel carrying capacity
• Spontaneous pulsing states in an active particle system
• Coupling driven exclusion and diffusion processes on parallel lanes: boundary induced phase transitions and boundary layers
• Asymmetric simple exclusion process in one-dimensional chains with long-range links
• Driven Transport on open filaments with inter-filament switching processes
• Non-local response in a lattice gas under a shear drive
• Optimization of transition behaviors in a two-lane system