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The parallel TASEP, fixed particle number and weighted Motzkin paths

Woelki, Marko (2013) The parallel TASEP, fixed particle number and weighted Motzkin paths. Journal of Physics A : Mathematical and Theoretical (46), pp. 505003-505012. Institute of Physics (IOP) Publishing. doi: [10.1088/1751-8113/46/50/505003]. ISSN 1751-8113.

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Official URL: http://iopscience.iop.org/1751-8121/46/50/505003/metrics


In this paper the totally asymmetric simple exclusion process (TASEP) with parallel update on an open lattice of size L is considered in the maximum current region. A formal expression for the generating function for the weight of configurations with N particles is given. Further an interpretation in terms of (u, l, d)-colored weighted Motzkin paths is presented. Using previous results (Woelki and Schreckenberg 2009 J. Stat. Mech. P05014,Woelki 2010 Cellular Automata pp 637–45) the generating function is compared with the one for a possible second-class particle dynamics for the parallel TASEP. It is shown that both become physically equivalent in the thermodynamic limit.

Item URL in elib:https://elib.dlr.de/85219/
Document Type:Article
Title:The parallel TASEP, fixed particle number and weighted Motzkin paths
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Woelki, Markomarko.woelki (at) dlr.deUNSPECIFIED
Date:November 2013
Journal or Publication Title:Journal of Physics A : Mathematical and Theoretical
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:Yes
DOI :[10.1088/1751-8113/46/50/505003]
Page Range:pp. 505003-505012
Publisher:Institute of Physics (IOP) Publishing
Keywords:Stationärer Zustand, Nagel-Schreckenberg-Modell, Flaschenhalssitutation im Straßenverkehr
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Traffic Management (old)
DLR - Research area:Transport
DLR - Program:V VM - Verkehrsmanagement
DLR - Research theme (Project):V - Projekt Verkehrs- und Mobilitätsmanagement (old)
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Transportation Systems > Verkehrssteuerung und -beeinflussung
Deposited By: Wölki, Marko
Deposited On:07 Jan 2014 14:04
Last Modified:31 Jul 2019 19:42

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