Frozen shuffle update for an asymmetric exclusion process on a ring

Details Frozen shuffle update for an asymmetric exclusion process on a ring Frozen shuffle update for an asymmetric exclusion process on a ring

2011-05-02

arxiv.org/abs/1105.0352v1

Physics

Condensed Matter

Statistical Mechanics

16 pages

Scientific paper

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.

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