Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Arita, Chikashi UNSPECIFIED UNSPECIFIED UNSPECIFIED Schadschneider, Andreas UNSPECIFIED orcid.org/0000-0002-2054-7973 UNSPECIFIED
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:	Keywords Language MATRIX-PRODUCT FORM; STOCHASTIC DYNAMICS; HEISENBERG CHAIN Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48511