The parallel TASEP, fixed particle number and weighted Motzkin paths

被引:3
|
作者
Woelki, Marko [1 ]
机构
[1] German Aerosp Ctr, Inst Transportat Syst, D-12489 Berlin, Germany
关键词
ASYMMETRIC EXCLUSION PROCESS; CELLULAR-AUTOMATON; MODEL;
D O I
10.1088/1751-8113/46/50/505003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页数:13
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