Origin and dynamics of a bottleneck-induced shock in a two-channel exclusion process

被引:12
作者
Dhiman, Isha [1 ]
Gupta, Arvind Kumar [1 ]
机构
[1] Indian Inst Technol Ropar, Dept Math, Rupnagar 140001, India
关键词
Domain wall; Bottleneck; Two-channel; Exclusion process; DRIVEN LATTICE GASES; LANGMUIR-KINETICS; LOCAL INHOMOGENEITY; ESCHERICHIA-COLI; PHASE-DIAGRAM; MODEL; SYSTEMS; TRANSITIONS; RATES; CODON;
D O I
10.1016/j.physleta.2016.04.031
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the origin and characteristics of the bottleneck-induced shock in a two-channel totally asymmetric simple exclusion process with Langmuir kinetics under symmetric coupling conditions. The variation in height of the spike, which has been found to be a precursor to the bottleneck-induced shock, is analyzed with respect to lane-changing rate Omega and bottleneck rate q. The critical value of q(q(c)), below which the effect of bottleneck turns from local to global, has been identified. A non-monotonic variation of qc with respect to Omega is observed. The bottleneck-induced shock exhibits turning effect with respect to an increase in Omega. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码:2038 / 2044
页数:7
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