Frozen shuffle update for an asymmetric exclusion process on a ring

Abstract

We introduce a new rule of motion for a totally asymmetric exclusion process (TASEP) representing pedestrian traffic on a lattice. Its characteristic feature is that the positions of the pedestrians, modeled as hard-core particles, are updated in a fixed predefined order, determined by a phase attached to each of them. We investigate this model analytically and by Monte Carlo simulation on a one-dimensional lattice with periodic boundary conditions. At a critical value of the particle density a transition occurs from a phase with `free flow' to one with `jammed flow'. We are able to analytically predict the current-density diagram for the infinite system and to find the scaling function that describes the finite size rounding at the transition point.

16 pages

References in corpus (7)

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• Green functions for the TASEP with sublattice parallel update
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Cited by in corpus (11)

• A multi-lane TASEP model for crossing pedestrian traffic flows
• Diagonal patterns and chevron effect in intersecting traffic flows
• Crossing pedestrian traffic flows,diagonal stripe pattern, and chevron effect
• Intersection of two TASEP traffic lanes with frozen shuffle update
• Wake-mediated interaction between driven particles crossing a perpendicular flow
• Frozen shuffle update for an asymmetric exclusion process with open boundary conditions
• The asymmetric simple exclusion process on chains with a shortcut revisited
• Two-species TASEP model: from a simple description to intermittency and travelling traffic jams
• Time-headway distribution for periodic totally asymmetric exclusion process with various updates
• Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems
• Inferring intermediate states by leveraging the many-body Arrhenius law