Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Synthetic Quorum Sensing and Absorbing Phase Transitions in Colloidal Active Matter

Thibault Lefranc1,*, Alberto Dinelli2,3,*, Carla Fernández-Rico4, Roel P. A. Dullens5, Julien Tailleur6,†, and Denis Bartolo1,‡

  • *These authors contributed equally to this work.
  • †Contact author: jgt@mit.edu
  • ‡Contact author: denis.bartolo@ens-lyon.fr

Phys. Rev. X 15, 031050 – Published 22 August, 2025

DOI: https://doi.org/10.1103/8csn-71jk

Abstract

Unlike biological active matter that constantly adapt to their environment, the motors of synthetic active particles are typically agnostic to their surroundings and merely operate at constant force. Here, we design colloidal active rods capable of modulating their inner activity in response to crowding, thereby enforcing a primitive form of quorum sensing interactions. Through experiments, simulations, and theory we elucidate the impact of these interactions on the phase behavior of isotropic active matter. We demonstrate that, when conditioned to density, motility regulation can either lead to an absorbing phase transition, where all particles freeze their dynamics, or to atypical phase separation, where flat interfaces supporting a net pressure drop are in mechanical equilibrium. Fully active and fully arrested particles can then form heterogeneous patterns ruled by the competition between quorum sensing and mechanical interactions. Beyond the specifics of motile colloids, we expect our findings to apply broadly to adaptive active matter assembled from living or synthetic units.

View figure in article

Physics Subject Headings (PhySH)

Popular Summary

Article Text

Supplemental Material

References (50)

  1. M. B. Miller and B. L. Bassler, Quorum sensing in bacteria, Annu. Rev. Microbiol. 55, 165 (2001).
  2. E. Ben-Jacob, I. Cohen, and H. Levine, Cooperative self-organization of microorganisms, Adv. Phys. 49, 395 (2000).
  3. B. K. Hammer and B. L. Bassler, Quorum sensing controls biofilm formation in Vibrio cholerae, Mol. Microbial. 50, 101 (2003).
  4. R. Daniels, J. Vanderleyden, and J. Michiels, Quorum sensing and swarming migration in bacteria, FEMS Microbiol. Rev. 28, 261 (2004).
  5. L. Keller and M. G. Surette, Communication in bacteria: An ecological and evolutionary perspective, Nat. Rev. Microbiol. 4, 249 (2006).
  6. C. Liu, X. Fu, L. Liu, X. Ren, C. K. Chau, S. Li, L. Xiang, H. Zeng, G. Chen, L.-H. Tang et al., Sequential establishment of stripe patterns in an expanding cell population, Science 334, 238 (2011).
  7. A. Curatolo, N. Zhou, Y. Zhao, C. Liu, A. Daerr, J. Tailleur, and J. Huang, Cooperative pattern formation in multi-component bacterial systems through reciprocal motility regulation, Nat. Phys. 16, 1152 (2020).
  8. U. Pfreundt, J. Słomka, G. Schneider, A. Sengupta, F. Carrara, V. Fernandez, M. Ackermann, and R. Stocker, Controlled motility in the cyanobacterium trichodesmium regulates aggregate architecture, Science 380, 830 (2023).
  9. J. R. Howse, R. A. L. Jones, A. J. Ryan, T. Gough, R. Vafabakhsh, and R. Golestanian, Self-motile colloidal particles: from directed propulsion to random walk, Phys. Rev. Lett. 99, 048102 (2007).
  10. I. Theurkauff, C. Cottin-Bizonne, J. Palacci, C. Ybert, and L. Bocquet, Dynamic clustering in active colloidal suspensions with chemical signaling, Phys. Rev. Lett. 108, 268303 (2012).
  11. J. Palacci, S. Sacanna, A. P. Steinberg, D. J. Pine, and P. M. Chaikin, Living crystals of light-activated colloidal surfers, Science 339, 936 (2013).
  12. A. Bricard, J.-B. Caussin, N. Desreumaux, O. Dauchot, and D. Bartolo, Emergence of macroscopic directed motion in populations of motile colloids, Nature (London) 503, 95 (2013).
  13. A. Zöttl and H. Stark, Emergent behavior in active colloids, J. Phys. Condens. Matter 28, 253001 (2016).
  14. J. Zhang, E. Luijten, B. A. Grzybowski, and S. Granick, Active colloids with collective mobility status and research opportunities, Chem. Soc. Rev. 46, 5551 (2017).
  15. F. Peruani and G. J. Sibona, Dynamics and steady states in excitable mobile agent systems, Phys. Rev. Lett. 100, 168103 (2008).
  16. M. E. Cates and J. Tailleur, When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation, Europhys. Lett. 101, 20010 (2013).
  17. S. Saha, R. Golestanian, and S. Ramaswamy, Clusters, asters, and collective oscillations in chemotactic colloids, Phys. Rev. E 89, 062316 (2014).
  18. M. Paoluzzi, M. Leoni, and M. C. Marchetti, Fractal aggregation of active particles, Phys. Rev. E 98, 052603 (2018).
  19. C. Abaurrea Velasco, M. Abkenar, G. Gompper, and T. Auth, Collective behavior of self-propelled rods with quorum sensing, Phys. Rev. E 98, 022605 (2018).
  20. J. O’Byrne and J. Tailleur, Lamellar to micellar phases and beyond: When tactic active systems admit free energy functionals, Phys. Rev. Lett. 125, 208003 (2020).
  21. M. Paoluzzi, M. Leoni, and M. C. Marchetti, Information and motility exchange in collectives of active particles, Soft Matter 16, 6317 (2020).
  22. Y. Zhang and É. Fodor, Pulsating active matter, Phys. Rev. Lett. 131, 238302 (2023).
  23. 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).
  24. M. A. Fernandez-Rodriguez, F. Grillo, L. Alvarez, M. Rathlef, I. Buttinoni, G. Volpe, and L. Isa, Feedback-controlled active Brownian colloids with space-dependent rotational dynamics, Nat. Commun. 11, 4223 (2020).
  25. S. Muiños-Landin, A. Fischer, V. Holubec, and F. Cichos, Reinforcement learning with artificial microswimmers, Sci. Rob. 6, eabd9285 (2021).
  26. M. Y. Ben Zion, J. Fersula, N. Bredeche, and O. Dauchot, Morphological computation and decentralized learning in a swarm of sterically interacting robots, Sci. Rob. 8, eabo6140 (2023).
  27. G. Quincke, Ueber rotationen im constanten electrischen felde, Ann. Phys. (Berlin) 295, 417 (1896).
  28. K. A. Takeuchi, M. Kuroda, H. Chaté, and M. Sano, Directed percolation criticality in turbulent liquid crystals, Phys. Rev. Lett. 99, 234503 (2007).
  29. M. Sano and K. Tamai, A universal transition to turbulence in channel flow, Nat. Phys. 12, 249 (2016).
  30. H.-Y. Shih, T.-L. Hsieh, and N. Goldenfeld, Ecological collapse and the emergence of travelling waves at the onset of shear turbulence, Nat. Phys. 12, 245 (2016).
  31. B. Hof, Directed percolation and the transition to turbulence, Nat. Rev. Phys. 5, 62 (2023).
  32. C. Fernández-Rico, T. Yanagishima, A. Curran, D. G. Aarts, and R. P. Dullens, Synthesis of colloidal SU-8 polymer rods using sonication, Adv. Mater. 31, 1807514 (2019).
  33. A. Jákli, B. Senyuk, G. Liao, and O. D. Lavrentovich, Colloidal micromotor in smectic A liquid crystal driven by dc electric field, Soft Matter 4, 2471 (2008).
  34. J. Melcher and G. Taylor, Electrohydrodynamics: A review of the role of interfacial shear stresses, Annu. Rev. Fluid Mech. 1, 111 (1969).
  35. A. Cēbers, E. Lemaire, and L. Lobry, Electrohydrodynamic instabilities and orientation of dielectric ellipsoids in low-conducting fluids, Phys. Rev. E 63, 016301 (2000).
  36. Q. Brosseau, G. Hickey, and P. M. Vlahovska, Electrohydrodynamic Quincke rotation of a prolate ellipsoid, Phys. Rev. Fluids 2, 014101 (2017).
  37. See Supplemental Material at http://link.aps.org/supplemental/10.1103/8csn-71jk for details on the analytical computations, numerics, and figure parameters, which contains Refs. [38–43].
  38. M. E. Cates and J. Tailleur, Motility-induced phase separation, Annu. Rev. Condens. Matter Phys. 6, 219 (2015).
  39. A. P. Solon, J. Stenhammar, R. Wittkowski, M. Kardar, Y. Kafri, M. E. Cates, and J. Tailleur, Pressure and phase equilibria in interacting active Brownian spheres, Phys. Rev. Lett. 114, 198301 (2015).
  40. T. Speck, Coexistence of active Brownian disks: van der Waals theory and analytical results, Phys. Rev. E 103, 012607 (2021).
  41. J. Irving and J. G. Kirkwood, The statistical mechanical theory of transport processes. IV. The equations of hydrodynamics, J. Chem. Phys. 18, 817 (1950).
  42. A. P. Solon, J. Stenhammar, M. E. Cates, Y. Kafri, and J. Tailleur, Generalized thermodynamics of motility-induced phase separation: Phase equilibria, laplace pressure, and change of ensembles, New J. Phys. 20, 075001 (2018).
  43. D. Martin, J. O’Byrne, M. E. Cates, É. Fodor, C. Nardini, J. Tailleur, and F. van Wijland, Statistical mechanics of active Ornstein-Uhlenbeck particles, Phys. Rev. E 103, 032607 (2021).
  44. R. Rezakhaniha, A. Agianniotis, J. T. C. Schrauwen, A. Griffa, D. Sage, C. v. Bouten, F. Van De Vosse, M. Unser, and N. Stergiopulos, Experimental investigation of collagen waviness and orientation in the arterial adventitia using confocal laser scanning microscopy, Biomech. Model. Mechanobiol. 11, 461 (2012).
  45. A. J. Bray, Theory of phase-ordering kinetics, Adv. Phys. 51, 481 (2002).
  46. J. Stenhammar, A. Tiribocchi, R. J. Allen, D. Marenduzzo, and M. E. Cates, Continuum theory of phase separation kinetics for active Brownian particles, Phys. Rev. Lett. 111, 145702 (2013).
  47. M. N. van der Linden, L. C. Alexander, D. G. A. L. Aarts, and O. Dauchot, Interrupted motility induced phase separation in aligning active colloids, Phys. Rev. Lett. 123, 098001 (2019).
  48. A. G. Thompson, J. Tailleur, M. E. Cates, and R. A. Blythe, Lattice models of nonequilibrium bacterial dynamics, J. Stat. Mech. (2011) P02029.
  49. G. Liu, A. Patch, F. Bahar, D. Yllanes, R. D. Welch, M. C. Marchetti, S. Thutupalli, and J. W. Shaevitz, Self-driven phase transitions drive Myxococcus xanthus fruiting body formation, Phys. Rev. Lett. 122, 248102 (2019).
  50. T. Lefranc, A. Dinelli, C. Fernández-Rico, R. Dullens, J. Tailleur, and D. Bartolo, Synthetic quorum sensing and absorbing phase transitions in colloidal active matter, 10.5281/zenodo.15630142 (2025).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation