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arXiv · 1109.0425

Exact dynamical state of the exclusive queueing process with deterministic hopping

Chikashi Arita·Andreas Schadschneider
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Abstract

The exclusive queueing process (EQP) has recently been introduced as a model for the dynamics of queues which takes into account the spatial structure of the queue. It can be interpreted as a totally asymmetric exclusion process of varying length. Here we investigate the case of deterministic bulk hopping p=1 which turns out to be one of the rare cases where exact nontrivial results for the dynamical properties can be obtained. Using a time-dependent matrix product form we calculate several dynamical properties, e.g. the density profile of the system.

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Chikashi Arita, Andreas Schadschneider. 2012-01-02. Exact dynamical state of the exclusive queueing process with deterministic hopping. https://doi.org/10.1103/physreve.84.051127

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