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Asymmetric coupling in two-lane simple exclusion processes with Langmuir kinetics: phase diagrams and boundary layers
Arvind Kumar Gupta1, Isha Dhiman1
1Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar-140001, India.
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.
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