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Two-channel totally asymmetric simple exclusion process with site-wise dynamic disorder

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  • Garg, Shaweta
  • Dhiman, Isha

Abstract

Being inspired by the biological process of gene transcription, we investigate the phenomenology of transport on two-channel TASEP in the presence of dynamical defects under symmetric coupling conditions. The continuum mean-field equations are derived and then solved numerically to obtain steady-state phase diagrams. The role of various parameters namely defect (un-)binding constants, lane-changing rates has been thoroughly examined. The defect (un-)binding rates are found to affect the phase boundaries in the phase plane. The effect of system size on the steady-state dynamics of the system has also been analyzed. The theoretical results are validated by performing extensive Monte Carlo simulations.

Suggested Citation

  • Garg, Shaweta & Dhiman, Isha, 2020. "Two-channel totally asymmetric simple exclusion process with site-wise dynamic disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119318771
    DOI: 10.1016/j.physa.2019.123356
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    References listed on IDEAS

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    1. Gupta, Arvind Kumar & Dhiman, Isha, 2013. "Coupling of two asymmetric exclusion processes with open boundaries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6314-6329.
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    3. Wang, Ruili & Liu, Mingzhe & Jiang, Rui, 2008. "Local inhomogeneity in two-lane asymmetric simple exclusion processes coupled with Langmuir kinetics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 457-466.
    4. Greulich, Philip & Schadschneider, Andreas, 2008. "Phase diagram and edge effects in the ASEP with bottlenecks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 1972-1986.
    5. Barma, Mustansir, 2006. "Driven diffusive systems with disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 22-33.
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