arxiv: 1109.0425 · v2 · pith:XKSN43E6new · submitted 2011-09-02 · ❄️ cond-mat.stat-mech · nlin.CG

Exact dynamical state of the exclusive queueing process with deterministic hopping

Chikashi Arita , Andreas Schadschneider This is my paper

classification ❄️ cond-mat.stat-mech nlin.CG

keywords dynamicalprocessdeterministicexactexclusivehoppingpropertiesqueueing

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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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Exact dynamical state of the exclusive queueing process with deterministic hopping

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