Exact dynamical state of the exclusive queueing process with deterministic hopping
arXiv:1109.0425 · doi:10.1103/PhysRevE.84.051127
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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Cited by in corpus (7)
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- Density profiles of the exclusive queueing process
- Effect of walking-distance on a queuing system of totally asymmetric simple exclusion process equipped with functions of site assignments
- Critical behavior of the exclusive queueing process
- Effective ergodicity breaking in an exclusion process with varying system length
- Extreme value statistics of nerve transmission delay