Exact dynamical state of the exclusive queueing process with deterministic hopping
Statistical Mechanics
2015-05-30 v2 Cellular Automata and Lattice Gases
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.
Keywords
Cite
@article{arxiv.1109.0425,
title = {Exact dynamical state of the exclusive queueing process with deterministic hopping},
author = {Chikashi Arita and Andreas Schadschneider},
journal= {arXiv preprint arXiv:1109.0425},
year = {2015}
}