Arita, Chikashi and Schadschneider, Andreas ORCID: 0000-0002-2054-7973
(2011).
Exact dynamical state of the exclusive queueing process with deterministic hopping.
Phys. Rev. E, 84 (5).
COLLEGE PK:
AMER PHYSICAL SOC.
ISSN 1550-2376
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.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-485112 | ||||||||||||
DOI: | 10.1103/PhysRevE.84.051127 | ||||||||||||
Journal or Publication Title: | Phys. Rev. E | ||||||||||||
Volume: | 84 | ||||||||||||
Number: | 5 | ||||||||||||
Date: | 2011 | ||||||||||||
Publisher: | AMER PHYSICAL SOC | ||||||||||||
Place of Publication: | COLLEGE PK | ||||||||||||
ISSN: | 1550-2376 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/48511 |
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