Phys. Rev. E 89, 022131 (2014) - Asymmetric coupling in two-lane simple exclusion processes with Langmuir kinetics: Phase diagrams and boundary layers

Asymmetric coupling in two-lane simple exclusion processes with Langmuir kinetics: Phase diagrams and boundary layers

Arvind Kumar Gupta and Isha Dhiman

Phys. Rev. E 89, 022131 – Published 21 February 2014

Abstract

We use boundary layer analysis for an open system consisting of two parallel totally asymmetric simple exclusion processes with Langmuir kinetics under a biased lane-changing rule. The two kinds of phase transitions—bulk transitions and surface transitions—have been examined. The dynamics of shock and their dependence on the system parameters have been investigated. We find a reduction in the number of steady-state phases with increase in lane-changing rate.

Received 18 September 2013
Revised 4 December 2013

DOI:https://doi.org/10.1103/PhysRevE.89.022131

©2014 American Physical Society

Authors & Affiliations

Arvind Kumar Gupta^* and Isha Dhiman

Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar-140001, India

^*akgupta@iitrpr.ac.in

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Issue

Vol. 89, Iss. 2 — February 2014

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