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• W3098074834 abstract "In this paper the totally asymmetric 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 {it J. Stat. Mech} P05014, Woelki 2010 {it Cellular Automata}, pp 637-645) the generating function is compared with the one for a possible 2nd-class particle dynamics for the parallel TASEP. It is shown that both become physically equivalent in the thermodynamic limit." @default.
• W3098074834 created "2020-11-23" @default.
• W3098074834 creator A5025817968 @default.
• W3098074834 date "2013-11-26" @default.
• W3098074834 modified "2023-09-26" @default.
• W3098074834 title "The parallel TASEP, fixed particle number and weighted Motzkin paths" @default.
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• W3098074834 doi "https://doi.org/10.1088/1751-8113/46/50/505003" @default.
• W3098074834 hasPublicationYear "2013" @default.
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