IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v281y2000i1p17-29.html
   My bibliography  Save this article

Collective behavior of interacting self-propelled particles

Author

Listed:
  • Czirók, András
  • Vicsek, Tamás

Abstract

We discuss biologically inspired, inherently non-equilibrium models of self-propelled particles, in which the particles interact with their neighbors by choosing at each time step the local average direction of motion. We summarize some of the results of large-scale simulations and theoretical approaches about the effects of noise and dimensionality on the scaling behavior of such systems.

Suggested Citation

  • Czirók, András & Vicsek, Tamás, 2000. "Collective behavior of interacting self-propelled particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 17-29.
    • Handle: RePEc:eee:phsmap:v:281:y:2000:i:1:p:17-29
    DOI: 10.1016/S0378-4371(00)00013-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437100000133
    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/S0378-4371(00)00013-3?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. Erik M. Rauch & Mark M. Millonas & Dante R. Chialvo, 1995. "Pattern Formation and Functionality in Swarm Models," Working Papers 95-08-073, Santa Fe Institute.
    2. Dirk Helbing & Joachim Keltsch & Péter Molnár, 1997. "Modelling the evolution of human trail systems," Nature, Nature, vol. 388(6637), pages 47-50, July.
    3. Czirók, András & Vicsek, Mária & Vicsek, Tamás, 1999. "Collective motion of organisms in three dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 264(1), pages 299-304.
    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. Mu, Shumei & Chu, Tianguang & Wang, Long, 2005. "Coordinated collective motion in a motile particle group with a leader," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 211-226.
    2. Ye Yuan & Xuebo Chen & Qiubai Sun & Tianyun Huang, 2017. "Analysis of topological relationships and network properties in the interactions of human beings," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-22, August.
    3. Becco, Ch. & Vandewalle, N. & Delcourt, J. & Poncin, P., 2006. "Experimental evidences of a structural and dynamical transition in fish school," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 487-493.
    4. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2012. "Admissible consensus and consensualization of high-order linear time-invariant singular swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5839-5849.
    5. Xi, Jianxiang & Yao, Zhicheng & Wang, Zhong & Liu, Guangbin & Zhong, Yisheng, 2014. "Admissible L2 consensus for singular time-delayed swarm systems with external disturbances," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 165-176.
    6. Barbaro, Alethea B.T. & Taylor, Kirk & Trethewey, Peterson F. & Youseff, Lamia & Birnir, Björn, 2009. "Discrete and continuous models of the dynamics of pelagic fish: Application to the capelin," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(12), pages 3397-3414.
    7. Xi, Jianxiang & Cai, Ning & Zhong, Yisheng, 2010. "Consensus problems for high-order linear time-invariant swarm systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5619-5627.
    8. Huepe, Cristián & Aldana, Maximino, 2008. "New tools for characterizing swarming systems: A comparison of minimal models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2809-2822.
    9. Zabzina, Natalia, 2015. "A gradient flow approach to the model of positive feedback in decision-making," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 215-224.
    10. Mirabet, Vincent & Auger, Pierre & Lett, Christophe, 2007. "Spatial structures in simulations of animal grouping," Ecological Modelling, Elsevier, vol. 201(3), pages 468-476.
    11. Liu, Bo & Chu, Tianguang & Wang, Long & Wang, Zhanfeng, 2008. "Collective motion of a class of social foraging swarms," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 277-292.
    12. Collet, Jacques Henri, 2007. "Order–disorder alternations in the populations of faulty repulsive agents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 345-364.
    13. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2011. "Consensus analysis and design for high-order linear swarm systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4114-4123.

    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. Gašper Jaklič & Tadej Kanduč & Selena Praprotnik & Emil Žagar, 2012. "Energy Minimizing Mountain Ascent," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 680-693, November.
    2. 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.
    3. Jiang, Rui & Wu, Qing-Song, 2006. "The moving behavior of a large object in the crowds in a narrow channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 457-463.
    4. Manuel Stein & Halldór Janetzko & Daniel Seebacher & Alexander Jäger & Manuel Nagel & Jürgen Hölsch & Sven Kosub & Tobias Schreck & Daniel A. Keim & Michael Grossniklaus, 2017. "How to Make Sense of Team Sport Data: From Acquisition to Data Modeling and Research Aspects," Data, MDPI, vol. 2(1), pages 1-23, January.
    5. Siddharth Patwardhan & Marc Barthelemy & Şirag Erkol & Santo Fortunato & Filippo Radicchi, 2024. "Symmetry breaking in optimal transport networks," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    6. Hyun Jin Jang & Kiseop Lee & Kyungsub Lee, 2020. "Systemic risk in market microstructure of crude oil and gasoline futures prices: A Hawkes flocking model approach," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(2), pages 247-275, February.
    7. Haghani, Milad, 2021. "The knowledge domain of crowd dynamics: Anatomy of the field, pioneering studies, temporal trends, influential entities and outside-domain impact," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    8. Goldsztein, Guillermo H., 2017. "Crowd of individuals walking in opposite directions. A toy model to study the segregation of the group into lanes of individuals moving in the same direction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 162-173.
    9. Andrea López-Incera & Katja Ried & Thomas Müller & Hans J Briegel, 2020. "Development of swarm behavior in artificial learning agents that adapt to different foraging environments," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-38, December.
    10. Jiang, Rui & Wu, Qing-Song, 2006. "Interaction between vehicle and pedestrians in a narrow channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(1), pages 239-246.
    11. 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.
    12. García Cantú Ros, A. & Antonopoulos, Ch.G. & Basios, V., 2011. "Emergence of coherent motion in aggregates of motile coupled maps," Chaos, Solitons & Fractals, Elsevier, vol. 44(8), pages 574-586.
    13. Ohnishi, Teruaki & Okada, Osami & Shirakata, Hirofumi, 2013. "Morphological similarity of road networks and cracks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(18), pages 4127-4133.
    14. Huang, Jiechen & Wang, Juan & Xia, Chengyi, 2020. "Role of vaccine efficacy in the vaccination behavior under myopic update rule on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    15. Mirabet, Vincent & Auger, Pierre & Lett, Christophe, 2007. "Spatial structures in simulations of animal grouping," Ecological Modelling, Elsevier, vol. 201(3), pages 468-476.
    16. Vicsek, Tamás & Czirók, András & Farkas, Illés J. & Helbing, Dirk, 1999. "Application of statistical mechanics to collective motion in biology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 274(1), pages 182-189.
    17. Choi, So Eun & Jang, Hyun Jin & Lee, Kyungsub & Zheng, Harry, 2021. "Optimal market-Making strategies under synchronised order arrivals with deep neural networks," Journal of Economic Dynamics and Control, Elsevier, vol. 125(C).
    18. Dirk Helbing & Lubos Buzna & Anders Johansson & Torsten Werner, 2005. "Self-Organized Pedestrian Crowd Dynamics: Experiments, Simulations, and Design Solutions," Transportation Science, INFORMS, vol. 39(1), pages 1-24, February.
    19. Niizato, Takayuki & Gunji, Yukio-Pegio, 2011. "Metric–topological interaction model of collective behavior," Ecological Modelling, Elsevier, vol. 222(17), pages 3041-3049.
    20. Sam K. Hui & Peter S. Fader & Eric T. Bradlow, 2009. "Path Data in Marketing: An Integrative Framework and Prospectus for Model Building," Marketing Science, INFORMS, vol. 28(2), pages 320-335, 03-04.

    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:281:y:2000:i:1:p:17-29. 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.