Volume 107, Number 2, July 2014
|Number of page(s)||6|
|Published online||16 July 2014|
Two-channel totally asymmetric simple exclusion process with Langmuir kinetics: The role of coupling constant
Department of Mathematics, Indian Institute of Technology Ropar - Rupnagar-140001, Punjab, India
Received: 27 May 2014
Accepted: 26 June 2014
In this letter, we study the dynamics of a coupled two-channel totally asymmetric simple exclusion process with particle attachment and detachment in the bulk. The coupling constant C, which signifies the ratio of lane-changing rates, is introduced and the steady-state dynamics of the system are analyzed for different values of C. Singular perturbation technique is used on continuum mean-field equations to construct the phase diagrams, which have been characterized in terms of C for all possible orders of lane-changing rates. It is found that for lower orders of lane-changing rates, the effect of C is minor; while the effect is significant for higher orders. A critical value of is identified, above which the disappearance as well as the appearance of certain phases is observed. Moreover, synchronization of shocks also occurs for . We have also analyzed the effect of the system size on the Monte Carlo simulation results. Our theoretical arguments are in good agreement with Monte Carlo simulation results.
PACS: 05.60.-k – Transport processes / 64.60.-i – General studies of phase transitions / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2014
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.