- Featured in Physics
- Open Access
Nest-Level Phase Transition Drives Synchronized Activity Bursts in Ant Colonies
PRX Life 4, 033010 – Published 5 August, 2026
DOI: https://doi.org/10.1103/ghnl-p5c1
Abstract
Many natural complex systems exhibit synchronization, characterized by temporal coherence among the dynamics of their units. In ant colonies, synchronization manifests through activity bursts: sudden, sharp spikes of motion by a significant portion of workers throughout the nest, followed by durations of quiescence. These activity bursts were discovered three decades ago and studied since then; yet, the mechanisms that lead to their emergence remain elusive. Here, we present a model of ant activity that integrates both the motion of individuals within the nest and the transitions between behavioral states. By balancing microscopic behaviors in the model, we identify a nest-level phase transition from unsynchronized to synchronized activity and draw several connections between model predictions and empirical observations in the literature. Our analysis begets two key insights: (i) activity bursts emerge as a balance between the responsiveness of the colony to the first ant that activates and the ability of the colony to completely deactivate before the onset of the next burst, and (ii) the timescale of the motion of individuals through the nest is faster than that of the burst, suggesting that ants operate in a high-speed interaction regime where new behaviors are near-instantaneously transferred through the nest. We relate these findings to the broader literature on synchronization in complex systems, highlighting the need for periods of quiescence followed by the rapid communication of a new behavior through a population of connected units.
Physics Subject Headings (PhySH)
Focus
Phase Transition in Ant Colonies
Two types of ant colonies—one that experiences sudden bursts of activity and one that doesn’t—exemplify two distinct phases of collective behavior.
See more in Physics
Article Text
Supplemental Material
References (80)
- C. Huygens, Correspondance (The Société Hollandaise des Sciences, 1893).
- J. Peña Ramirez, L. A. Olvera, H. Nijmeijer, and J. Alvarez, The sympathy of two pendulum clocks: Beyond Huygens' observations, Sci. Rep. 6, 23580 (2016).
- S. H. Strogatz and I. Stewart, Coupled oscillators and biological synchronization, Sci. Am. 269, 102 (1993).
- C. Koch and H. Schuster, A simple network showing burst synchronization without frequency locking, Neural Comput. 4, 211 (1992).
- K. M. Stiefel and G. B. Ermentrout, Neurons as oscillators, J. Neurophysiol. 116, 2950 (2016).
- K. Bar-Eli, On the stability of coupled chemical oscillators, Physica D 14, 242 (1985).
- I. Z. Kiss, Y. Zhai, and J. L. Hudson, Emerging coherence in a population of chemical oscillators, Science 296, 1676 (2002).
- J. Buck, Synchronous rhythmic flashing of fireflies. II, Q. Rev. Biol. 63, 265 (1988).
- M. J. Henry, P. F. Cook, K. de Reus, V. Nityananda, A. A. Rouse, and S. A. Kotz, An ecological approach to measuring synchronization abilities across the animal kingdom, Philos. Trans. R. Soc. B 376, 20200336 (2021).
- D. J. D. Earn, P. Rohani, B. M. Bolker, and B. T. Grenfell, A simple model for complex dynamical transitions in epidemics, Science 287, 667 (2000).
- B. T. Grenfell, O. N. Bjørnstad, and J. Kappey, Travelling waves and spatial hierarchies in measles epidemics, Nature (London) 414, 716 (2001).
- I. Z. Kiss, J. C. Miller, and P. L. Simon, Mathematics of Epidemics on Networks: From Exact to Approximate Models, Interdisciplinary Applied Mathematics Vol. 46 (Springer International Publishing, Cham, 2017).
- P. E. Paré, C. L. Beck, and T. Başar, Modeling, estimation, and analysis of epidemics over networks: An overview, Annu. Rev. Control 50, 345 (2020).
- N. R. Franks, S. Bryant, R. Griffiths, and L. Hemerik, Synchronization of the behaviour within nests of the ant Leptothorax acervorum (Fabricius) – I. Discovering the phenomenon and its relation to the level of starvation, Bull. Math. Biol. 52, 597 (1990).
- L. Hemerik, N. F. Britton, and N. R. Franks, Synchronization of the behaviour within nests of the ant Leptothorax acervorum (Fabricius) – II. Modelling the phenomenon and predictions from the model, Bull. Math. Biol. 52, 613 (1990).
- S. Boi, I. D. Couzin, N. D. Buono, N. R. Franks, and N. F. Britton, Coupled oscillators and activity waves in ant colonies, Proc. R. Soc. London B 266, 371 (1999).
- B. J. Cole, Short-term activity cycles in ants: A phase-response curve and phase resetting in worker activity, J. Insect Behav. 4, 129 (1991).
- B. J. Cole, Short-term activity cycles in ants: Generation of periodicity by worker interaction, Am. Nat. 137, 244 (1991).
- G. N. Doering, K. A. Sheehy, J. L. L. Lichtenstein, B. Drawert, L. R. Petzold, and J. N. Pruitt, Sources of intraspecific variation in the collective tempo and synchrony of ant societies, Behav. Ecol. 30, 1682 (2019).
- G. N. Doering, M. M. Prebus, S. Suresh, J. N. Greer, R. Bowden, and T. A. Linksvayer, Emergent collective behavior evolves more rapidly than individual behavior among acorn ant species, Proc. Natl. Acad. Sci. USA 121, e2420078121 (2024).
- G. N. Doering, C. L. Lee, and K. Dalnoki-Veress, Synchronized locomotion can improve spatial accessibility inside ant colonies, Proc. R. Soc. B 290, 20231805 (2023).
- T. O. Richardson, J. I. Liechti, N. Stroeymeyt, S. Bonhoeffer, and L. Keller, Short-term activity cycles impede information transmission in ant colonies, PLoS Comput. Biol. 13, e1005527 (2017).
- R. D. North, Entrainment of the circadian rhythm of locomotor activity in wood ants by temperature, Anim. Behav. 45, 393 (1993).
- H. Fujioka, M. S. Abe, and Y. Okada, Ant activity-rest rhythms vary with age and interaction frequencies of workers, Behav. Ecol. Sociobiol. 73, 30 (2019).
- T. Bochynek, J. L. Tanner, B. Meyer, and M. Burd, Parallel foraging cycles for different resources in leaf-cutting ants: A clue to the mechanisms of rhythmic activity, Ecol. Entomol. 42, 849 (2017).
- B. Das and D. M. Gordon, Biological rhythms and task allocation in ant colonies, Curr. Opin. Insect Sci. 58, 101062 (2023).
- A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge Nonlinear Science Series (Cambridge University Press, Cambridge, U.K., 2001).
- S. B. Rosenthal, C. R. Twomey, A. T. Hartnett, H. S. Wu, and I. D. Couzin, Revealing the hidden networks of interaction in mobile animal groups allows prediction of complex behavioral contagion, Proc. Natl. Acad. Sci. USA 112, 4690 (2015).
- M. Porfiri, M. Karakaya, R. R. Sattanapalle, and S. D. Peterson, Emergence of in-line swimming patterns in zebrafish pairs, Flow 1, E7 (2021).
- M. Ballerini, N. Cabibbo, R. Candelier, A. Cavagna, E. Cisbani, I. Giardina, V. Lecomte, A. Orlandi, G. Parisi, A. Procaccini, M. Viale, and V. Zdravkovic, Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study, Proc. Natl. Acad. Sci. USA 105, 1232 (2008).
- W. Bialek, A. Cavagna, I. Giardina, T. Mora, O. Pohl, E. Silvestri, M. Viale, and A. M. Walczak, Social interactions dominate speed control in poising natural flocks near criticality, Proc. Natl. Acad. Sci. USA 111, 7212 (2014).
- F. Ginelli, F. Peruani, M.-H. Pillot, H. Chaté, G. Theraulaz, and R. Bon, Intermittent collective dynamics emerge from conflicting imperatives in sheep herds, Proc. Natl. Acad. Sci. USA 112, 12729 (2015).
- A. M. Wenner, P. H. Wells, and F. J. Rohlf, An analysis of the waggle dance and recruitment in honey bees, Physiol. Zool. 40, 317 (1967).
- J. C. Biesmeijer and T. D. Seeley, The use of waggle dance information by honey bees throughout their foraging careers, Behav. Ecol. Sociobiol. 59, 133 (2005).
- D. E. Jackson and F. L. W. Ratnieks, Communication in ants, Curr. Biol. 16, R570 (2006).
- M. Porfiri, P. De Lellis, E. Aung, S. Meneses, N. Abaid, J. S. Waters, and S. Garnier, Reverse social contagion as a mechanism for regulating mass behaviors in highly integrated social systems, PNAS Nexus 3, pgae246 (2024).
- I. D. Couzin, Collective cognition in animal groups, Trends Cognit. Sci. 13, 36 (2009).
- I. D. Couzin, Synchronization: The key to effective communication in animal collectives, Trends Cognit. Sci. 22, 844 (2018).
- D. J. T. Sumpter, Collective Bnimal Behavior (Princeton University Press, Princeton, NJ, 2010).
- S. Goss and J. L. Deneubourg, Autocatalysis as a source of synchronised rhythmical activity in social insects, Insectes Soc. 35, 310 (1988).
- P. M. M. da Silveira and J. F. Fontanari, A soluble model for synchronized rhythmic activity in ant colonies, Math. Biosci. 375, 109245 (2024).
- A. I. Hanopolskyi, V. A. Smaliak, A. I. Novichkov, and S. N. Semenov, Autocatalysis: Kinetics, mechanisms and design, ChemSystemsChem 3, e2000026 (2021).
- M. Porfiri, N. Abaid, and S. Garnier, Socially driven negative feedback regulates activity and energy use in ant colonies, PLoS Comput. Biol. 20, e1012623 (2024).
- M. Napoli, R. Sipahi, and M. Porfiri, The role of colony size on activity rhythms of ants, J. Theor. Biol. 617, 112286 (2026).
- G. N. Doering, B. Drawert, C. Lee, J. N. Pruitt, L. R. Petzold, and K. Dalnoki-Veress, Noise resistant synchronization and collective rhythm switching in a model of animal group locomotion, R. Soc. Open Sci. 9, 211908 (2022).
- B. J. Cole and F. I. Trampus, Activity cycles in ant colonies: Worker interactions and decentralized control, in Information Processing in Social Insects, edited by C. Detrain, J. L. Deneubourg, and J. M. Pasteels (Birkhäuser, Basel, 1999), p. 289.
- C. Anderson, G. Goldsztein, and A. Fernandez-Nieves, Ant waves—spontaneous activity waves in fire-ant columns, Sci. Adv. 9, eadd0635 (2023).
- C. Anderson and A. Fernandez-Nieves, Active many-particle systems and the emergent behavior of dense ant collectives, Rep. Prog. Phys. 87, 066602 (2024).
- E. R. Hunt, R. J. Baddeley, A. Worley, A. B. Sendova-Franks, and N. R. Franks, Ants determine their next move at rest: Motor planning and causality in complex systems, R. Soc. Open Sci. 3, 150534 (2016).
- K. Christensen, D. Papavassiliou, A. de Figueiredo, N. R. Franks, and A. B. Sendova-Franks, Universality in ant behaviour, J. R. Soc. Interface 12, 20140985 (2015).
- B. Bolton, AntCat: An online catalog of the ants of the world, https://antcat.org/catalog (2024), version curated by Barry Bolton, Ward, and AntWeb team.
- P. Amorim, T. Goudon, and F. Peruani, An ant navigation model based on Weber's law, J. Math. Biol. 78, 943 (2019).
- S. M. Ross, Introduction to Probability and Statistics for Engineers and Scientists, 3rd ed. (Elsevier Academic Press, Amsterdam, 2008).
- A. Perna, B. Granovskiy, S. Garnier, S. C. Nicolis, M. Labédan, G. Theraulaz, V. Fourcassié, and D. J. T. Sumpter, Individual rules for trail pattern formation in Argentine ants (Linepithema humile), PLoS Comput. Biol. 8, e1002592 (2012).
- P. M. M. da Silveira and J. F. Fontanari, Synchronized rhythmic activity of ants with distributed rest periods, Mathematics 12, 3893 (2024).
- J. G. Restrepo, E. Ott, and B. R. Hunt, Onset of synchronization in large networks of coupled oscillators, Phys. Rev. E 71, 036151 (2005).
- Y. Kuramoto, Self-entrainment of a population of coupled non-linear oscillators, in International Symposium on Mathematical Problems in Theoretical Physics (Springer-Verlag, Berlin, 1975), Vol. 39, p. 420.
- J. A. Acebrón, L. L. Bonilla, C. J. Pérez Vicente, F. Ritort, and R. Spigler, The Kuramoto model: A simple paradigm for synchronization phenomena, Rev. Mod. Phys. 77, 137 (2005).
- F. M. Neves, R. L. Viana, and M. R. Pie, Recurrence analysis of ant activity patterns, PLoS One 12, e0185968 (2017).
- N. Marwan, M. Carmen Romano, M. Thiel, and J. Kurths, Recurrence plots for the analysis of complex systems, Phys. Rep. 438, 237 (2007).
- B. Goswami, A brief introduction to nonlinear time series analysis and recurrence plots, Vibration 2, 332 (2019).
- A. Nobile, Specimen: CASENT0173192 Temnothorax albipennis (2007), https://www.antweb.org/specimenImages.do?name=casent0173192.
- A. Nobile, Specimen: CASENT0005689 Temnothorax rudis (2000), https://www.antweb.org/specimenImages.do?code=casent0005689.
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/ghnl-p5c1 for Supplemental Video I, which illustrates a single burst of activity in the model.
- T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, Novel type of phase transition in a system of self-driven particles, Phys. Rev. Lett. 75, 1226 (1995).
- P. G. Nelson, Statistical mechanical interpretation of temperature, Found. Chem. 21, 325 (2019).
- M. Porfiri and G. Ariel, On effective temperature in network models of collective behavior, Chaos 26, 043109 (2016).
- J. M. Kosterlitz and D. J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems, J. Phys. C 6, 1181 (1973).
- T. Mora and W. Bialek, Are biological systems poised at criticality? J. Stat. Phys. 144, 268 (2011).
- M. A. Muñoz, Colloquium: Criticality and dynamical scaling in living systems, Rev. Mod. Phys. 90, 031001 (2018).
- G. J. Stephens, T. Mora, G. Tkačik, and W. Bialek, Statistical thermodynamics of natural images, Phys. Rev. Lett. 110, 018701 (2013).
- C. Buhl, D. J. T. Sumpter, I. D. Couzin, J. J. Hale, E. Despland, E. R. Miller, and S. J. Simpson, From disorder to order in marching locusts, Science 312, 1402 (2006).
- F. Ginelli, The physics of the Vicsek model, Eur. Phys. J.: Spec. Top. 225, 2099 (2016).
- A. Chatterjee, T. Tzook, N. S. Gov, and O. Feinerman, Maximal response to a mechanical leader at critical group size in ant collectives, Nat. Commun. 16, 5983 (2025).
- E. O. Wilson, Pheidole in the New World: A Dominant, Hyperdiverse Ant Genus (Harvard University Press, Cambridge, MA, 2003).
- A. Lillico-Ouachour and E. Abouheif, Regulation, development, and evolution of caste ratios in the hyperdiverse ant genus Pheidole, Curr. Opin. Insect Sci. 19, 43 (2017).
- D. M. Gordon, The organization of work in social insect colonies, Nature (London) 380, 121 (1996).
- Y. Heyman, N. Shental, A. Brandis, A. Hefetz, and O. Feinerman, Ants regulate colony spatial organization using multiple chemical road-signs, Nat. Commun. 8, 15414 (2017).
- G. T. Chism, W. Nichols, and A. Dornhaus, Cavity geometry shapes overall ant colony organization through spatial limits, but workers maintain fidelity zones, Anim. Behav. 216, 195 (2024).
- M. Napoli, Nest-level synchronization, GitHub, 2026, https://github.com/dynamicalsystemslaboratory/nest-level-synchronization.