IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v505y2018icp716-728.html
   My bibliography  Save this article

Transport properties of active Brownian particles in a modified energy-depot model driven by correlated noises

Author

Listed:
  • Guan, Lin
  • Fang, Yuwen
  • Li, Kongzhai
  • Zeng, Chunhua
  • Yang, Fengzao

Abstract

In this paper, we investigate the role of correlated multiplicative (κ1) and additive (κ2) noises in a modified energy conversion depot model, at which it is added a linear term in the conversion of internal energy of active Brownian particles (ABPs). The linear term (a1≠0.0) in energy conversion model breaks the symmetry of the potential to generate motion of the ABPs with a net transport velocity. Adopt a nonlinear Langevin approach, the transport properties of the ABPs have been discussed, and our results show that: (i) the transport velocity 〈υ1〉 of the ABPs are always positive whether the correlation intensity λ=0.0 or not; (ii) for a small value of the multiplicative noise intensity κ1, the variation of 〈υ1〉 with λ shows a minimum, there exists an optimal value of the correlation intensity λ at which the 〈υ1〉 of the ABPs is minimized. But for a large value of κ1, the 〈υ1〉 monotonically decreases; (iii) the transport velocity 〈υ1〉 increases with the increase of the κ1 or κ2, i.e., the multiplicative or additive noise can facilitate the transport of the ABPs; and (iv) the effective diffusion increases with the increase of a1, namely, the linear term in modified energy conversion model of the ABPs can enhance the diffusion of the ABPs.

Suggested Citation

  • Guan, Lin & Fang, Yuwen & Li, Kongzhai & Zeng, Chunhua & Yang, Fengzao, 2018. "Transport properties of active Brownian particles in a modified energy-depot model driven by correlated noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 716-728.
  • Handle: RePEc:eee:phsmap:v:505:y:2018:i:c:p:716-728
    DOI: 10.1016/j.physa.2018.03.065
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843711830400X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2018.03.065?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. U. Erdmann & W. Ebeling & L. Schimansky-Geier & F. Schweitzer, 2000. "Brownian particles far from equilibrium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 15(1), pages 105-113, May.
    2. Duan, Wei-Long & Zeng, Chunhua, 2017. "Signal power amplification of intracellular calcium dynamics with non-Gaussian noises and time delay," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 400-405.
    3. Tilch, Benno & Schweitzer, Frank & Ebeling, Werner, 1999. "Directed motion of Brownian particles with internal energy depot," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(3), pages 294-314.
    4. Dirk Helbing & Bernardo A. Huberman, 1998. "Coherent moving states in highway traffic," Nature, Nature, vol. 396(6713), pages 738-740, December.
    5. F. Schweitzer & B. Tilch & W. Ebeling, 2000. "Uphill motion of active brownian particles in piecewise linear potentials," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 14(1), pages 157-168, March.
    6. Duan, Wei-Long & Zeng, Chunhua, 2017. "Statistics for anti-synchronization of intracellular calcium dynamics," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 611-616.
    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. Fang, Yuwen & Luo, Yuhui & Ma, Zhiqing & Zeng, Chunhua, 2021. "Transport and diffusion in the Schweitzer–Ebeling–Tilch model driven by cross-correlated noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    2. Wang, Tonghuan & Guan, Lin & Zeng, Chunhua, 2019. "Transition induce by positive and negative time delay feedback in active Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    3. Fang, Yuwen & Luo, Yuhui & Zeng, Chunhua, 2022. "Dichotomous noise-induced negative mass and mobility of inertial Brownian particle," Chaos, Solitons & Fractals, Elsevier, vol. 155(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. Wang, Tonghuan & Guan, Lin & Zeng, Chunhua, 2019. "Transition induce by positive and negative time delay feedback in active Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    2. Duan, Wei-Long, 2020. "The stability analysis of tumor-immune responses to chemotherapy system driven by Gaussian colored noises," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    3. Shengli Guo & Jun Tang & Jun Ma & Chunni Wang, 2017. "Autaptic Modulation of Electrical Activity in a Network of Neuron-Coupled Astrocyte," Complexity, Hindawi, vol. 2017, pages 1-13, June.
    4. Dong, Xiaohui & Wang, Ming & Zhong, Guang-Yan & Yang, Fengzao & Duan, Weilong & Li, Jiang-Cheng & Xiong, Kezhao & Zeng, Chunhua, 2018. "Stochastic delayed kinetics of foraging colony system under non-Gaussian noise," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 1-13.
    5. Dong, Mingru & Li, Haibin & Yin, Rongrong & Qin, Yuhua & Hu, Yongtao, 2021. "Scalable asynchronous localization algorithm with mobility prediction for underwater wireless sensor networks," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    6. Maxime Hubert & Stéphane Perrard & Nicolas Vandewalle & Matthieu Labousse, 2022. "Overload wave-memory induces amnesia of a self-propelled particle," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    7. Andrea Cavagna & Antonio Culla & Xiao Feng & Irene Giardina & Tomas S. Grigera & Willow Kion-Crosby & Stefania Melillo & Giulia Pisegna & Lorena Postiglione & Pablo Villegas, 2022. "Marginal speed confinement resolves the conflict between correlation and control in collective behaviour," Nature Communications, Nature, vol. 13(1), pages 1-11, December.
    8. Chetverikov, A.P. & Sergeev, K.S. & del Rio, Ezequiel, 2019. "Noise influence on dissipative solitons in a chain of active particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 147-155.
    9. Mehdi Moussaïd & Elsa G Guillot & Mathieu Moreau & Jérôme Fehrenbach & Olivier Chabiron & Samuel Lemercier & Julien Pettré & Cécile Appert-Rolland & Pierre Degond & Guy Theraulaz, 2012. "Traffic Instabilities in Self-Organized Pedestrian Crowds," PLOS Computational Biology, Public Library of Science, vol. 8(3), pages 1-10, March.
    10. Dong, Yang & Wen, Shu-hui & Hu, Xiao-bing & Li, Jiang-Cheng, 2020. "Stochastic resonance of drawdown risk in energy market prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    11. Combinido, Jay Samuel L. & Lim, May T., 2010. "Modeling U-turn traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3640-3647.
    12. Lv, Wei & Song, Wei-guo & Fang, Zhi-ming, 2011. "Three-lane changing behaviour simulation using a modified optimal velocity model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2303-2314.
    13. Guan, Wei & He, Shuyan, 2008. "Statistical features of traffic flow on urban freeways," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 944-954.
    14. Demaerel, Thibaut & De Roeck, Wojciech & Maes, Christian, 2020. "Producing suprathermal tails in the stationary velocity distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 552(C).
    15. Le-le Cao & Xiao-xue Li & Fen-ni Kang & Chang Liu & Fu-chun Sun & Ramamohanarao Kotagiri, 2015. "The Quantitative and Qualitative Evaluation of a Multi-Agent Microsimulation Model for Subway Carriage Design," International Journal of Microsimulation, International Microsimulation Association, vol. 8(3), pages 6-40.
    16. Liang Li & Simon F Nørrelykke & Edward C Cox, 2008. "Persistent Cell Motion in the Absence of External Signals: A Search Strategy for Eukaryotic Cells," PLOS ONE, Public Library of Science, vol. 3(5), pages 1-11, May.
    17. Lv, Wei & Song, Wei-guo & Fang, Zhi-ming & Ma, Jian, 2013. "Modelling of lane-changing behaviour integrating with merging effect before a city road bottleneck," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5143-5153.
    18. Kai Nagel & Peter Wagner & Richard Woesler, 2003. "Still Flowing: Approaches to Traffic Flow and Traffic Jam Modeling," Operations Research, INFORMS, vol. 51(5), pages 681-710, October.
    19. Juan Francisco Sánchez-Pérez & Santiago Oviedo-Casado & Gonzalo García-Ros & Manuel Conesa & Enrique Castro, 2024. "Understanding Complex Traffic Dynamics with the Nondimensionalisation Technique," Mathematics, MDPI, vol. 12(4), pages 1-14, February.
    20. Yin, Yi & Shang, Pengjian & Ahn, Andrew C. & Peng, Chung-Kang, 2019. "Multiscale joint permutation entropy for complex time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 388-402.

    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:phsmap:v:505:y:2018:i:c:p:716-728. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.