Arita, Chikashi and Schadschneider, Andreas ORCID: 0000-0002-2054-7973 (2013). Critical behavior of the exclusive queueing process. EPL, 104 (3). MULHOUSE: EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY. ISSN 1286-4854

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Abstract

The exclusive queueing process (EQP) is a generalization of the classical M/M/1 queue. It is equivalent to a totally asymmetric exclusion process (TASEP) of varying length. Here we consider two discrete-time versions of the EQP with parallel and backward-sequential update rules. The phase diagram (with respect to the arrival probability a and the service probability beta) is divided into two phases corresponding to divergence and convergence of the system length. We investigate the behavior on the critical line separating these phases. For both update rules, we find diffusive behavior for small service probability (beta < beta(c)). However, for beta > beta(c) it becomes sub-diffusive and nonuniversal: the critical exponents characterizing the divergence of the system length and the number of customers are found to depend on the update rule. For the backward-update case, they also depend on the hopping parameter p, and remain finite when p is large, indicating a first-order transition. Copyright (C) EPLA, 2013

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Arita, ChikashiUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Schadschneider, AndreasUNSPECIFIEDorcid.org/0000-0002-2054-7973UNSPECIFIED
URN: urn:nbn:de:hbz:38-472346
DOI: 10.1209/0295-5075/104/30004
Journal or Publication Title: EPL
Volume: 104
Number: 3
Date: 2013
Publisher: EPL ASSOCIATION, EUROPEAN PHYSICAL SOCIETY
Place of Publication: MULHOUSE
ISSN: 1286-4854
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
GROWTHMultiple languages
Physics, MultidisciplinaryMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/47234

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