Vortex formation in the Vicsek model with internal chirality of self-propelling objects
DOI:
https://doi.org/10.5488/CMP.29.13803Keywords:
self-propelling objects, internal chirality, collective motion, Vicsek modelAbstract
Effect of internal chirality on collective motion of a large number of active objects is studied by simulations of appropriately modified Vicsek model. We add a fixed angle to the noise and consider small ratios, p, between this angle and the maximal deviation from the average local direction of motion. When the above ratio is p = 1/120, the traveling bands observed with the symmetrical noise are destroyed, and small bands moving in different directions appear. Circular rotating flocks of objects with the same orientation are formed for p = 1/7.5. Stable vortexes in the stationary state were found from p = 1/60 to p = 1/20. Velocity autocorrelation function shows equilibrium between the inflow and the outflow to and from the vortex. Long-time evolution is considerably influenced by a temporary trapping of the objects in the vortex. The ballistic behavior for the symmetrical noise changes to the diffusive behavior for the chirality leading to the onset of vortexes.
References
Toner J., Tu Y., Phys. Rev. E, 1998, 58, 4828. DOI: https://doi.org/10.1103/PhysRevE.58.4828
Bechinger C., Leonardo R. D., Löwen H., Reichhardt C., Volpe G., Volpe G., Rev. Mod. Phys., 2016, 88, 045006. DOI: https://doi.org/10.1103/RevModPhys.88.045006
Mora T., Walczak A. M., Castello L. D., Ginelli F., Melillo S., Parisi L., Viale M., Cavagna A., Giardina I., Nat. Phys., 2016, 12, 1153–1157. DOI: https://doi.org/10.1038/nphys3846
Peruani F., Starruß J., Jakovljevic V., Søgaard-Andersen L., Deutsch A., Bär M., Phys. Rev. Lett., 2012, 108, 098102. DOI: https://doi.org/10.1103/PhysRevLett.108.098102
Afroze F., Inoue D., Farhana T. I., Hiraiwa T., Akiyama R., Kabir A. M. R., Sada K., Kakugo A., Biochem. Biophys. Res. Commun., 2021, 563, 73. DOI: https://doi.org/10.1016/j.bbrc.2021.05.037
Shaebani M. R., Wysocki A., Winkler R. G., Gompper G., Rieger H., Nat. Rev. Phys., 2020, 2, 181. DOI: https://doi.org/10.1038/s42254-020-0152-1
Velho Rodrigues M. F., Lisicki M., Lauga E., PLoS One, 2021, 16, e0252291. DOI: https://doi.org/10.1371/journal.pone.0252291
Cholakova D., Lisicki M., Smoukov S. K., Tcholakova S., Lin E. E., Chen J., De Canio G., Lauga E., Denkov N., Nat. Phys., 2021, 17, 1050. DOI: https://doi.org/10.1038/s41567-021-01291-3
Tan T. H., Mietke A., Li J., Chen Y., Higinbotham H., Foster P. J., Gokhale S., Dunkel J., Fakhri N., Nature, 2022, 607, 287–293. DOI: https://doi.org/10.1038/s41586-022-04889-6
Kreienkamp K. L., Klapp S. H. L., New J. Phys., 2022, 24, 123009. DOI: https://doi.org/10.1088/1367-2630/ac9cc3
Breier R. E., Selinger R. L. B., Ciccotti G., Herminghaus S., Mazza M. G., Phys. Rev. E, 2016, 93, 022410. DOI: https://doi.org/10.1103/PhysRevE.93.022410
Hoffmann L. A., Giomi L., Phys. Rev. E, 2025, 111, 015427. DOI: https://doi.org/10.1103/PhysRevE.111.015427
Kitahata H., Koyano Y., Phys. Rev. E, 2023, 107, 064607. DOI: https://doi.org/10.1103/PhysRevE.107.064607
Sprenger A. R., Shaik V. A., Ardekani A. M., Lisicki M., Mathijssen A. J., Guzmán-Lastra F., Löwen H., Menzel A. M., Daddi-Moussa-Ider A., Eur. Phys. J. E, 2020, 43, 58. DOI: https://doi.org/10.1140/epje/i2020-11980-9
Vicsek T., Czirók A., Ben-Jacob E., Cohen I., Shochet O., Phys. Rev. Lett., 1995, 75, 1226. DOI: https://doi.org/10.1103/PhysRevLett.75.1226
Chaté H., Ginelli F., Grégoire G., Raynaud F., Phys. Rev. E, 2008, 77, 046113. DOI: https://doi.org/10.1103/PhysRevE.77.046113
Chaté H., Ginelli F., Grégoire G., Peruani F., Raynaud F., Eur. Phys. J. B, 2008, 64, 451–456. DOI: https://doi.org/10.1140/epjb/e2008-00275-9
Grégoire G., Chaté H., Phys. Rev. Lett., 2004, 92, 025702. DOI: https://doi.org/10.1103/PhysRevLett.92.025702
Zhang B.-Q., Shao Z.-G., Physica A, 2022, 598, 127373. DOI: https://doi.org/10.1016/j.physa.2022.127373
Sahala F., Muhsin M., Sahoo M., Phys. Scr., 2025, 100, 065956. DOI: https://doi.org/10.1088/1402-4896/add65c
Liebchen B., Levis D., Europhys. Lett., 2022, 139, 67001. DOI: https://doi.org/10.1209/0295-5075/ac8f69
Sumino Y., Nagai K. H., Shitaka Y., Tanaka D., Yoshikawa K., Chaté H., Oiwa K., Nature, 2012, 483, 448–452. DOI: https://doi.org/10.1038/nature10874
Berg H., Turner L., Biophys. J., 1990, 58, 919–930. DOI: https://doi.org/10.1016/S0006-3495(90)82436-X
Erglis K., Wen Q., Ose V., Zeltins A., Sharipo A., Janmey P. A., Cebers A., Biophys. J., 2007, 93, 1402–1412. DOI: https://doi.org/10.1529/biophysj.107.107474
Riedel I. H., Kruse K., Howard J., Science, 2005, 309, 300–303. DOI: https://doi.org/10.1126/science.1110329
ten Hagen B., Kümmel F., Wittkowski R., Takagi D., Löwen H., Bechinger C., Nat. Commun., 2014, 5, 4829. DOI: https://doi.org/10.1038/ncomms5829
Serna H., Góźdź W. T., Physica A, 2023, 625, 129042. DOI: https://doi.org/10.1016/j.physa.2023.129042
Serna H., Li B., Góźdź W. T., Physica A, 2025, 658, 130303. DOI: https://doi.org/10.1016/j.physa.2024.130303
Liebchen B., Levis D., Phys. Rev. Lett., 2017, 119, 058002. DOI: https://doi.org/10.1103/PhysRevLett.119.058002
Kruk N., Carrillo J. A., Koeppl H., Phys. Rev. E, 2020, 102, 022604. DOI: https://doi.org/10.1103/PhysRevE.102.022604
Ventejou B., Chaté H., Montagne R., Shi X.-Q., Phys. Rev. Lett., 2021, 127, 238001. DOI: https://doi.org/10.1103/PhysRevLett.127.238001
Gozdz W., Patrykiejew A., Sokolowski S., Phys. Lett. A, 1990, 145, 279–283. DOI: https://doi.org/10.1016/0375-9601(90)90365-U
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