title: Exact dynamical state of the exclusive queueing process with deterministic hopping.
abstract: The exclusive queueing process (EQP) has recently been introduced as a model for the dynamics of queues that 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 that 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.
authors.affiliation: Institut de Physique Théorique, CEA Saclay, Gif-sur-Yvette, France. chikashi.arita@cea.fr
authors.forename: Chikashi
authors.initials: C
authors.lastname: Arita
authors.forename: Andreas
authors.initials: A
authors.lastname: Schadschneider