IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v167y2023ics0960077923000103.html
   My bibliography  Save this article

Role of site-wise dynamic defects in a resource-constrained exclusion process

Author

Listed:
  • Bhatia, Nikhil
  • Gupta, Arvind Kumar

Abstract

We study an exclusion process with site-wise dynamic disorder in a resource constrained environment. The dynamic defects that hinder the particle flux on the lattice stochastically appear and disappear throughout the lattice with a constrained binding rate and a constant unbinding rate, respectively. The effect of constrained resources on the stationary properties of the system has been comprehended in the form of the filling factor. The analytical results replicated by naive mean-field theory accord quite well with the Monte Carlo simulation for faster defects irrespective of the affected hopping rate and slower defects with a large affected hopping rate. For slower defects with a small affected hopping rate, some correlations are observed in the system, leading to the adoption of an enhanced mean-field approach which provides reasonably better approximations than the usual naive-mean field. These correlations slowly fade away with an increase in the affected hopping rate. Our theoretical calculations unify the parameters – the affected hopping rate, defect binding (unbinding) rate, and defect density – that control defect kinetics on the lattice into a single parameter known as the obstruction factor. The repercussions of the obstruction factor have been thoroughly examined by discussing its limiting cases. The phase boundaries that are yielded through different mean-field approaches are uniquely impacted by their corresponding obstruction factor.

Suggested Citation

  • Bhatia, Nikhil & Gupta, Arvind Kumar, 2023. "Role of site-wise dynamic defects in a resource-constrained exclusion process," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    • Handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077923000103
    DOI: 10.1016/j.chaos.2023.113109
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923000103
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.113109?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Schadschneider, Andreas, 2002. "Traffic flow: a statistical physics point of view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 313(1), pages 153-187.
    2. Hao, Qing-Yi & Jiang, Rui & Hu, Mao-Bin & Wu, Chao-Yun & Guo, Ning, 2022. "Analytical investigation on totally asymmetric simple exclusion process with Langmuir kinetics and a parallel update with two sub-steps," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    3. Pronina, Ekaterina & Kolomeisky, Anatoly B., 2006. "Asymmetric coupling in two-channel simple exclusion processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 12-21.
    4. Kai Nagel, 1996. "Particle Hopping Models and Traffic Flow Theory," Working Papers 96-04-015, Santa Fe Institute.
    5. Wang, Yu-Qing & Ni, Xin-Peng & Xu, Chang & Wang, Bing-Hong, 2021. "Physical mechanisms of the dynamical patterns and non-equilibrium processes of self-driven particles in an ASEP network affected by a finite external particle source," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gupta, Ankita & Gupta, Arvind Kumar, 2024. "Reservoir crowding in a dynamically disordered bidirectional system with narrow entrances," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zheng, Zuduo, 2014. "Recent developments and research needs in modeling lane changing," Transportation Research Part B: Methodological, Elsevier, vol. 60(C), pages 16-32.
    2. Daganzo, Carlos F., 2006. "In traffic flow, cellular automata = kinematic waves," Transportation Research Part B: Methodological, Elsevier, vol. 40(5), pages 396-403, June.
    3. 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).
    4. Kok Mun Ng & Mamun Bin Ibne Reaz, 2016. "Platoon Interactions and Real-World Traffic Simulation and Validation Based on the LWR-IM," PLOS ONE, Public Library of Science, vol. 11(1), pages 1-17, January.
    5. S, Tamizhazhagan & Verma, Atul Kumar, 2022. "Reentrance transition in two lane bidirectional transport system with bottlenecks," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    6. Chengbin Peng & Xiaogang Jin & Ka-Chun Wong & Meixia Shi & Pietro Liò, 2012. "Collective Human Mobility Pattern from Taxi Trips in Urban Area," PLOS ONE, Public Library of Science, vol. 7(4), pages 1-8, April.
    7. Zheng, Liang & Jin, Peter J. & Huang, Helai, 2015. "An anisotropic continuum model considering bi-directional information impact," Transportation Research Part B: Methodological, Elsevier, vol. 75(C), pages 36-57.
    8. Sun, Yi, 2018. "Kinetic Monte Carlo simulations of two-dimensional pedestrian flow models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 836-847.
    9. Yang, Da & Jin, Peter (Jing) & Pu, Yun & Ran, Bin, 2014. "Stability analysis of the mixed traffic flow of cars and trucks using heterogeneous optimal velocity car-following model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 371-383.
    10. Niek Baer & Richard J. Boucherie & Jan-Kees C. W. van Ommeren, 2019. "Threshold Queueing to Describe the Fundamental Diagram of Uninterrupted Traffic," Transportation Science, INFORMS, vol. 53(2), pages 585-596, March.
    11. Silver, Grant & Akbarzadeh, Meisam & Estrada, Ernesto, 2018. "Tuned communicability metrics in networks. The case of alternative routes for urban traffic," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 402-413.
    12. Rong, Ying & Wen, Huiying, 2018. "Non-lane-discipline-based car-following model under honk environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 278-293.
    13. Sun, Yi, 2019. "Simulations of bi-direction pedestrian flow using kinetic Monte Carlo methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 524(C), pages 519-531.
    14. Kelly, Terence, 1997. "Driver strategy and traffic system performance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 407-416.
    15. Wang, Yan & Peng, Zhongyi & Chen, Qun, 2018. "Simulated interactions of pedestrian crossings and motorized vehicles in residential areas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1046-1060.
    16. Pal, Bipasha & Gupta, Arvind Kumar, 2022. "Non-conserving exclusion process with a dynamic obstacle," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    17. Wen Huan Ai & Ming Ming Wang & Da Wei Liu, 2024. "Saddle-node bifurcation control of macroscopic traffic flow model considering vehicle braking effect," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 97(5), pages 1-13, May.
    18. Linesch, Nicholas J. & D’Souza, Raissa M., 2008. "Periodic states, local effects and coexistence in the BML traffic jam model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6170-6176.
    19. Paul Nelson, 2006. "On Driver Anticipation, Two-Regime Flow, Fundamental Diagrams, and Kinematic-Wave Theory," Transportation Science, INFORMS, vol. 40(2), pages 165-178, May.
    20. Sun, Yi, 2020. "Kinetic Monte Carlo simulations of bi-direction pedestrian flow with different walk speeds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077923000103. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.