Abstract
In this paper, we study the interplay of a totally asymmetric simple exclusion process (TASEP) with a shortcut in its bulk under open boundary conditions. Two different models are introduced: (i) model A for molecular motor motion, and (ii) model B for vehicular traffic. The phase diagrams and density profiles of both models are studied. It is found that although the phase diagrams of both models can be classified into three regions, the phases corresponding to these regions and the phase boundaries between these regions are quite different in these two models. Moreover, the approximate stationary-state solutions of model A have been carried out and it is shown that the analytical results are in good agreement with the results of Monte Carlo simulations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal of Physics A: Mathematical and Theoretical
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.