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Two-Channel Partially Coupled Exclusion Process with Mutually Interactive Langmuir Kinetics

In: Traffic and Granular Flow '15

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  • Arvind Kumar Gupta

    (Indian Institute of Technology Ropar, Department of Mathematics)

Abstract

In thisGupta, Arvind Kumar work, we investigate an open system comprised of two-parallel TASEP under partially asymmetric coupling conditions incorporating the mutual interaction with the surrounding environment through Langmuir Kinetics in both the channels. Motivated by the recent finding on clustering of motor proteins on microtubules, the attachment and detachment rates are assumed to be dependent on the state of the neighbouring sites. Under the mean-field assumption, the hydrodynamic equations representing the evolution of particle density is studied and steady-state phase diagrams are obtained. The effect of mutually interactive Langmuir Kinetics (MILK) on the phase diagram is discussed for two different situations. For symmetric MILK, the topological structure of the phase diagram remains preserved; while for the antisymmetric MILK, significant changes are observed in the qualitative nature of phase diagram. Monte Carlo simulations are performed to validate the theoretical findings.

Suggested Citation

  • Arvind Kumar Gupta, 2016. "Two-Channel Partially Coupled Exclusion Process with Mutually Interactive Langmuir Kinetics," Springer Books, in: Victor L. Knoop & Winnie Daamen (ed.), Traffic and Granular Flow '15, pages 629-636, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-33482-0_79
    DOI: 10.1007/978-3-319-33482-0_79
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