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Wölki, 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
Abstract
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/ | ||||||||
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| Document Type: | Article | ||||||||
| Title: | The parallel TASEP, fixed particle number and weighted Motzkin paths | ||||||||
| Authors: |
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| 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 SCOPUS: | Yes | ||||||||
| 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 | ||||||||
| ISSN: | 1751-8113 | ||||||||
| Status: | Published | ||||||||
| 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: | 20 Nov 2023 15:04 |
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