Article ID Journal Published Year Pages File Type
1858894 Physics Letters A 2016 7 Pages PDF
Abstract

•The properties of bottleneck-induced shock in a two-channel TASEP with LK are studied.•The height of a local peak and its variation with respect to various parameters is investigated.•The origination of bottleneck-induced shock from a local peak in the density profile is analyzed.•The turning effect in the position of bottleneck-induced shock with respect to lane-changing rate is discussed.

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 Ω and bottleneck rate q  . The critical value of q(qc)q(qc), below which the effect of bottleneck turns from local to global, has been identified. A non-monotonic variation of qcqc with respect to Ω is observed. The bottleneck-induced shock exhibits turning effect with respect to an increase in Ω.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
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