- Open Access
Nonmonotonic effects of nonreciprocal interactions on glass transition and diffusion in a two-dimensional emergent active system
Phys. Rev. Research 7, 043005 – Published 1 October, 2025
DOI: https://doi.org/10.1103/vncw-4jjt
Abstract
The glass transition of supercooled liquids poses a significant challenge in statistical physics. Although the glass transition has been extensively investigated in various active systems, the influence of nonreciprocal interactions between particles on this transition remains an open question. In this study, we investigate the diffusion and glass transition within a two-dimensional Kob-Andersen mixture featuring nonreciprocal particle interactions. Our findings reveal that nonreciprocity among particles profoundly impacts the system's dynamics. Specifically, in the gaseous or high-temperature liquid phase, the diffusion coefficient exhibits a consistent increase with rising nonreciprocity. However, in the viscous liquid or glassy state, the emergence of large-scale directed motion leads to a weakly nonmonotonic relationship between the diffusion coefficient and nonreciprocity. As nonreciprocity increases, the diffusion coefficient experiences a decline, reaching a minimum at finite nonreciprocity. Under dense conditions and at low temperatures, the system undergoes a transition between the glassy and liquid states by modulating nonreciprocity. However, at high temperatures, nonreciprocity becomes less significant, and this transition cannot be achieved by changing nonreciprocity. Our findings shed light on the intricate interplay between particle interactions and system dynamics in the context of glass transition phenomena.
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References (50)
- L. Berthier and G. Biroli, Theoretical perspective on the glass transition and amorphous materials, Rev. Mod. Phys. 83, 587 (2011).
- A. Burin, Glassy materials and disordered solids: An introduction to their statistical mechanics, Phys. Today 59(9), 64 (2006).
- E. Flenner and G. Szamel, Relaxation in a glassy binary mixture: Comparison of the mode-coupling theory to a Brownian dynamics simulation, Phys. Rev. E 72, 031508 (2005).
- F. Sciortino, W. Kob, and P. Tartaglia, Inherent structure entropy of supercooled liquids, Phys. Rev. Lett. 83, 3214 (1999).
- L. Berthier, Time and length scales in supercooled liquids, Phys. Rev. E 69, 020201 (2004).
- R. K. Murarka and B. Bagchi, Pair dynamics in a glass-forming binary mixture: Simulations and theory, Phys. Rev. E 67, 041501 (2003).
- E. Flenner and G. Szamel, Fundamental differences between glassy dynamics in two and three dimensions, Nat. Commun. 6, 7392 (2015).
- L. Berthier and R. L. Jack, Structure and dynamics of glass formers: Predictability at large length scales, Phys. Rev. E 76, 041509 (2007).
- S. Franz, R. Mulet, and G. Parisi, Kob-Andersen model: A nonstandard mechanism for the glassy transition, Phys. Rev. E 65, 021506 (2002).
- L. M. C. Janssen, Active glasses, J. Phys.: Condens. Matter 31, 503002 (2019).
- N. Klongvessa, F. Ginot, C. Ybert, C. Cottin-Bizonne, and M. Leocmach, Active glass: Ergodicity breaking dramatically affects response to self-propulsion, Phys. Rev. Lett. 123, 248004 (2019).
- B. R. Parry, I. V. Surovtsev, M. T. Cabeen, C. S. O’Hern, E. R. Dufresne, and C. Jacobs-Wagner, The bacterial cytoplasm has glass-like properties and is fluidized by metabolic activity, Cell 156, 183 (2014).
- T. E. Angelini, E. Hannezo, X. Trepat, M. Marquez, J. J. Fredberg, and D. A. Weitz, Glass-like dynamics of collective cell migration, Proc. Natl. Acad. Sci. USA 108, 4714 (2011).
- S. Grosser, J. Lippoldt, L. Oswald, M. Merkel, D. M. Sussman, F. Renner, P. Gottheil, E. W. Morawetz, T. Fuhs, X. Xie, S. Pawlizak, A. W. Fritsch, B. Wolf, L.-C. Horn, S. Briest, B. Aktas, M. L. Manning, and J. A. Käs, Cell and nucleus shape as an indicator of tissue fluidity in carcinoma, Phys. Rev. X 11, 011033 (2021).
- L. Berthier and J. Kurchan, Non-equilibrium glass transitions in driven and active matter, Nat. Phys. 9, 310 (2013).
- R. Ni, M. A. Cohen Stuart, and M. Dijkstra, Pushing the glass transition towards random close packing using self-propelled hard spheres, Nat. Commun. 4, 2704 (2013).
- L. Berthier, Nonequilibrium glassy dynamics of self-propelled hard disks, Phys. Rev. Lett. 112, 220602 (2014).
- E. Flenner, G. Szamel, and L. Berthier, The nonequilibrium glassy dynamics of self-propelled particles, Soft Matter 12, 7136 (2016).
- L. Berthier, E. Flenner, and G. Szamel, How active forces influence nonequilibrium glass transitions, New J. Phys. 19, 125006 (2017).
- L. Berthier, E. Flenner, and G. Szamel, Glassy dynamics in dense systems of active particles, J. Chem. Phys. 150, 200901 (2019).
- R. Mandal, P. J. Bhuyan, M. Rao, and C. Dasgupta, Active fluidization in dense glassy systems, Soft Matter 12, 6268 (2016).
- G. Szamel, E. Flenner, and L. Berthier, Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory, Phys. Rev. E 91, 062304 (2015).
- D. Bi, X. Yang, M. C. Marchetti, and M. L. Manning, Motility-driven glass and jamming transitions in biological tissues, Phys. Rev. X 6, 021011 (2016).
- G. Szamel, Theory for the dynamics of dense systems of athermal self-propelled particles, Phys. Rev. E 93, 012603 (2016).
- S. K. Nandi, R. Mandal, P. J. Bhuyan, C. Dasgupta, M. Rao, and N. S. Gov, A random first-order transition theory for an active glass, Proc. Natl. Acad. Sci. USA 115, 7688 (2018).
- R. Mandal and P. Sollich, Multiple types of aging in active glasses, Phys. Rev. Lett. 125, 218001 (2020).
- V. E. Debets, X. M. de Wit, and L. M. C. Janssen, Cage length controls the nonmonotonic dynamics of active glassy matter, Phys. Rev. Lett. 127, 278002 (2021).
- V. E. Debets and L. M. C. Janssen, Active glassy dynamics is unaffected by the microscopic details of self-propulsion, J. Chem. Phys. 157, 224902 (2022).
- V. E. Debets and L. M. C. Janssen, Influence of particle softness on active glassy dynamics, Phys. Rev. Res. 4, L042033 (2022).
- G. Janzen and L. M. C. Janssen, Rejuvenation and memory effects in active glasses induced by thermal and active cycling, Phys. Rev. Res. 6, 023257 (2024).
- V. E. Debets, H. Löwen, and L. M. C. Janssen, Glassy dynamics in chiral fluids, Phys. Rev. Lett. 130, 058201 (2023).
- B. Q. Ai, R. X. Guo, C. H. Zeng, and Y. F. He, Rotational inertia-induced glassy transition in chiral particle systems, Phys. Rev. E 109, 064902 (2024).
- R. X. Guo, J. J. Li, and B. Q. Ai, Diffusion of active particles driven by odd interactions, Phys. Rev. E 111, 014105 (2025).
- R. A. Long and F. Azam, Antagonistic interactions among marine pelagic bacteria, Appl. Environ. Microbiol. 67, 4975 (2001).
- A. Strandburg-Peshkin, C. R. Twomey, N. W. F. Bode, A. B. Kao, Y. Katz, C. C. Ioannou, S. B. Rosenthal, C. J. Torney, H. S. Wu, S. A. Levin, and I. D. Couzin, Visual sensory networks and effective information transfer in animal groups, Curr. Biol. 23, R709 (2013).
- G. Gardi and M. Sitti, On-demand breaking of action-reaction reciprocity between magnetic microdisks using global stimuli, Phys. Rev. Lett. 131, 058301 (2023).
- A. V. Ivlev, J. Bartnick, M. Heinen, C. R. Du, V. Nosenko, and H. Löwen, Statistical mechanics where Newton's third law is broken, Phys. Rev. X 5, 011035 (2015).
- Z. You, A. Baskaran, and M. C. Marchetti, Nonreciprocity as a generic route to traveling states, Proc. Natl. Acad. Sci. USA 117, 19767 (2020).
- C. H. Meredith, P. G. Moerman, J. Groenewold, Y. J. Chiu, W. K. Kegel, A. van Blaaderen, and L. D. Zarzar, Predator–prey interactions between droplets driven by non-reciprocal oil exchange, Nat. Chem. 12, 1136 (2020).
- R. Mandal, S. S. Jaramillo, and P. Sollich, Robustness of traveling states in generic nonreciprocal mixtures, Phys. Rev. E 109, L062602 (2024).
- R. K. Gupta, R. Kant, H. Soni, A. K. Sood, and S. Ramaswamy, Active nonreciprocal attraction between motile particles in an elastic medium, Phys. Rev. E 105, 064602 (2022).
- K. L. Kreienkamp and S. H. L. Klapp, Clustering and flocking of repulsive chiral active particles with non-reciprocal couplings, New J. Phys. 24, 123009 (2022).
- Y. J. Chiu and A. K. Omar, Phase coexistence implications of violating Newton’s third law, J. Chem. Phys. 158, 164903 (2023).
- B. Q. Ai, Brownian motors powered by nonreciprocal interactions, Phys. Rev. E 108, 064409 (2023).
- A. Benois, M. Jardat, V. Dahirel, V. Démery, J. Agudo-Canalejo, R. Golestanian, and P. Illien, Enhanced diffusion of tracer particles in nonreciprocal mixtures, Phys. Rev. E 108, 054606 (2023).
- L. Cocconi, H. Alston, and T. Bertrand, Active bound states arising from transiently nonreciprocal pair interactions, Phys. Rev. Res. 5, 043032 (2023).
- J. Chen, X. Lei, Y. Xiang, M. Duan, X. Peng, and H. P. Zhang, Emergent chirality and hyperuniformity in an active mixture with nonreciprocal interactions, Phys. Rev. Lett. 132, 118301 (2024).
- L. J. Wang, Y. H. Duan, and N. Xu, Non-monotonic pressure dependence of the dynamics of soft glass-formers at high compressions, Soft Matter 8, 11831 (2012).
- P. Chaudhuri, L. Berthier, and W. Kob, Universal nature of particle displacements close to glass and jamming transitions, Phys. Rev. Lett. 99, 060604 (2007).
- R.-X. Guo, J.-J. Li, C.-H. Zeng, Y.-F. He, and B.-Q. Ai, Nonmonotonic effects of nonreciprocal interactions on glass transition and diffusion in a two-dimensional emergent active system [Dataset], Zenodo (2025), https://doi.org/10.5281/zenodo.17128308.