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  • Open Access

Understanding quorum sensing self-organization: Clustering and defect-induced ordering of diffusing particles

Feifei Liu1, Vyacheslav R. Misko1,2, Yunyun Li1,*, and Fabio Marchesoni1

  • 1MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China
  • 2Department of Chemical Engineering, Vrije Universiteit Brussel, 1050 Brussels, Belgium

  • *Contact author: yunyunli@tongji.edu.cn

Phys. Rev. Research 8, 043018 – Published 7 October, 2026

DOI: https://doi.org/10.1103/jqgq-3qq6

Abstract

Quorum sensing (QS) is known in biology as a form of intercellular communication mediated by signaling molecules called autoinducers. The QS protocol governs the transition from individual to collective cell behavior once a critical population density is reached. Using numerical simulations, we investigate how defects influence the QS transition and the structural organization of the resulting colonies. Our model system consists of a mixture of slow (“cold”) and fast (“hot”) diffusing colloidal particles that obey the QS protocol, together with defect particles characterized by a constant diffusivity. A striking reentrant solidification of QS particles, characterized by long-range order, is induced by hot defects, whereas cold defects give rise to amorphous structures with only short-range order. These findings deepen our understanding of the QS interaction and provide a mechanism to control the degree of organization in QS systems, with potential applications in robotics, social sciences, and medicine—for instance, in overcoming antimicrobial resistance.

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References (25)

  1. B. L. Bassler and R. Losick, Bacterially speaking, Cell 125, 237 (2006).
  2. M. Whiteley, S. P. Diggle, and E. P. Greenberg, Progress in and promise of bacterial quorum sensing research, Nature (London) 551, 313 (2017).
  3. C. M. Waters and B. L. Bassler, Quorum sensing: Cell-to-cell communication in bacteria, Annu. Rev. Cell Dev. Biol. 21, 319 (2005).
  4. M. B. Miller and B. L. Bassler, Quorum sensing in bacteria, Annu. Rev. Microbiol. 55, 165 (2001).
  5. N. R. Parsek and E. P. Greenberg, Sociomicrobiology: The connections between quorum sensing and biofilms, Trends Microbiol. 13, 27 (2005).
  6. World Health Organization, Fact sheet, antimicrobial resistance (2026), https://www.who.int/news-room/fact-sheets/detail/antimicrobial-resistance.
  7. M. A. Cook and G. D. Wright, The past, present, and future of antibiotics, Sci. Transl. Med. 14, eabo7793 (2022).
  8. Y. Zhou, Y. Li, and F. Marchesoni, Clustering of quorum sensing colloidal particles, Nat. Sci. Open 3, 20230081 (2024).
  9. P. E. Kloeden and E. Platen, Numerical Solution of Stochastic Differential Equations (Springer, Berlin, 1992).
  10. J. D. Weeks, D. Chandler, and H. C. Andersen, Role of repulsive forces in determining the equilibrium structure of simple liquids, J. Chem. Phys. 54, 5237 (1971).
  11. X. Yang, C. Liu, Y. Li, F. Marchesoni, P. Hänggi, and H. P. Zhang, Hydrodynamic and entropic effects on colloidal diffusion in corrugated channels, Proc. Natl. Acad. Sci. USA 114, 9564 (2017).
  12. D. Takagi, J. Palacci, A. B. Braunschweig, M. J. Shelley, and J. Zhang, Hydrodynamic capture of microswimmers into sphere-bound orbits, Soft Matter 10, 1784 (2014).
  13. M. E. Cates and J. Tailleur, Motility-induced phase separation, Annu. Rev. Condens. Matter Phys. 6, 219 (2015).
  14. Y. Fily and M. C. Marchetti, Athermal phase separation of self-propelled particles with no alignment, Phys. Rev. Lett. 108, 235702 (2012).
  15. T. Bäuerle, A. Fischer, T. Speck, and C. Bechinger, Self-organization of active particles by quorum sensing rules, Nat. Commun. 9, 3232 (2018).
  16. S. N. Weber, C. A. Weber, and E. Frey, Binary mixtures of particles with different diffusivities demix, Phys. Rev. Lett. 116, 058301 (2016).
  17. J. Smrek and K. Kremer, Small activity differences drive phase separation in active-passive polymer mixtures, Phys. Rev. Lett. 118, 098002 (2017).
  18. E. McCarthy, R. K. Manna, O. Damavandi, and M. L. Manning, Demixing in binary mixtures with differential diffusivity at high density, Phys. Rev. Lett. 132, 098301 (2024).
  19. Clusters are finite sized, and the term “long-range” is used here to characterize finite-sized crystalline structures that show many peaks in the RDF typical for crystalline solids, in contrast to “short-range” order with just a few first peaks in the RDF typical for liquids. Clearly, the range is limited to the cluster size.
  20. H. Fecht, Defect-induced melting and solid-state amorphization, Nature (London) 356, 133 (1992).
  21. D. Helbing, I. J. Farkas, and T. Vicsek, Freezing by heating in a driven mesoscopic system, Phys. Rev. Lett. 84, 1240 (2000).
  22. H. E. Stanley, Freezing by heating, Nature (London) 404, 718 (2000).
  23. T. Huang, V. R. Misko, S. Gobeil, X. Wang, F. Nori, J. Schütt, J. Fassbender, G. Cuniberti, D. Makarov, and L. Baraban, Inverse solidification induced by active Janus particles, Adv. Funct. Mater. 30 2003851 (2020).
  24. S. Sengupta, K. K. Dey, H. S. Muddana, T. Tabouillot, M. E. Ibele, P. J. Butler, and A. Sen, Enzyme molecules as nanomotors, J. Am. Chem. Soc. 135, 1406 (2013).
  25. D. Debnath, P. K. Ghosh, V. R. Misko, Y. Li, F. Marchesoni, and F. Nori, Enhanced motility in a binary mixture of active nano/microswimmers, Nanoscale 12, 9717 (2020).

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