- Open Access
Breakup of an Active Chiral Fluid
Phys. Rev. Lett. 137, 088302 – Published 19 August, 2026
DOI: https://doi.org/10.1103/w2n2-zzkd
Abstract
We study the breakup dynamics of a two-dimensional strip of active chiral fluid using continuum hydrodynamics. Using slender body theory, we show that the breakup is driven by the interplay between chiral and surface tension forces, and that the minimum strip thickness decays to zero as a power law in finite time. The power law exponent and corresponding scaling function describing the shape of the strip near the break point are computed analytically, and shown to be in excellent agreement with numerical simulations of the underlying hydrodynamics. Qualitative agreement between experiment and simulation is also found.
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References (44)
- J. Eggers, Nonlinear dynamics and breakup of free-surface flows, Rev. Mod. Phys. 69, 865 (1997).
- J. Eggers, Universal pinching of 3D axisymmetric free-surface flow, Phys. Rev. Lett. 71, 3458 (1993).
- J. Eggers and E. Villermaux, Physics of liquid jets, Rep. Prog. Phys. 71, 036601 (2008).
- J. Eggers and M. A. Fontelos, Singularities: Formation, Structure, and Propagation (Cambridge University Press, Cambridge, England, 2015), Vol. 53.
- S. Ramaswamy, The mechanics and statistics of active matter, Annu. Rev. Condens. Matter Phys. 1, 323 (2010).
- M. C. Marchetti, J.-F. Joanny, S. Ramaswamy, T. B. Liverpool, J. Prost, M. Rao, and R. A. Simha, Hydrodynamics of soft active matter, Rev. Mod. Phys. 85, 1143 (2013).
- D. Zwicker, R. Seyboldt, C. A. Weber, A. A. Hyman, and F. Jülicher, Growth and division of active droplets provides a model for protocells, Nat. Phys. 13, 408 (2017).
- R. Singh and M. E. Cates, Hydrodynamically interrupted droplet growth in scalar active matter, Phys. Rev. Lett. 123, 148005 (2019).
- L. Giomi and A. DeSimone, Spontaneous division and motility in active nematic droplets, Phys. Rev. Lett. 112, 147802 (2014).
- R. Adkins, I. Kolvin, Z. You, S. Witthaus, M. C. Marchetti, and Z. Dogic, Dynamics of active liquid interfaces, Science 377, 768 (2022).
- E. Tjhung, C. Nardini, and M. E. Cates, Cluster phases and bubbly phase separation in active fluids: Reversal of the ostwald process, Phys. Rev. X 8, 031080 (2018).
- V. Soni, E. S. Bililign, S. Magkiriadou, S. Sacanna, D. Bartolo, M. J. Shelley, and W. T. Irvine, The odd free surface flows of a colloidal chiral fluid, Nat. Phys. 15, 1188 (2019).
- B. Liebchen and D. Levis, Chiral active matter, Europhys. Lett. 139, 67001 (2022).
- M. Han, M. Fruchart, C. Scheibner, S. Vaikuntanathan, J. J. De Pablo, and V. Vitelli, Fluctuating hydrodynamics of chiral active fluids, Nat. Phys. 17, 1260 (2021).
- C. B. Caporusso, G. Gonnella, and D. Levis, Phase coexistence and edge currents in the chiral Lennard-Jones fluid, Phys. Rev. Lett. 132, 168201 (2024).
- S. Fürthauer, M. Strempel, S. W. Grill, and F. Jülicher, Active chiral fluids, Eur. Phys. J. E 35, 1 (2012).
- T. Markovich and T. C. Lubensky, Odd viscosity in active matter: Microscopic origin and 3D effects, Phys. Rev. Lett. 127, 048001 (2021).
- S. Ganeshan and A. G. Abanov, Odd viscosity in two-dimensional incompressible fluids, Phys. Rev. Fluids 2, 094101 (2017).
- H. Massana-Cid, D. Levis, R. J. H. Hernández, I. Pagonabarraga, and P. Tierno, Arrested phase separation in chiral fluids of colloidal spinners, Phys. Rev. Res. 3, L042021 (2021).
- G. I. Barenblatt, Scaling, Self-Similarity, and Intermediate Asymptotics: Dimensional Analysis and Intermediate Asymptotics (Cambridge University Press, Cambridge, England, 1996), p. 14.
- N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (CRC Press, Boca Raton, 2018).
- L. L. Jia, W. T. Irvine, and M. J. Shelley, Incompressible active phases at an interface. Part 1. Formulation and axisymmetric odd flows, J. Fluid Mech. 951, A36 (2022).
- S. Ramaswamy and G. F. Mazenko, Linear and nonlinear hydrodynamics of low-friction adsorbed systems, Phys. Rev. A 26, 1735 (1982).
- A. Chaves, M. Zahn, and C. Rinaldi, Spin-up flow of ferrofluids: Asymptotic theory and experimental measurements, Phys. Fluids 20, 053102 (2008).
- E. Kirkinis and M. Olvera de la Cruz, Activity-induced propulsion and separation of passive chiral particles in liquids, Phys. Rev. Fluids 8, 023302 (2023).
- L. D. Landau and E. M. Lifshitz, Fluid Mechanics: Volume 6 (Elsevier, New York, 1987), Vol. 6.
- Y. Zhang, J. E. Sprittles, and D. A. Lockerby, Nanoscale thin-film flows with thermal fluctuations and slip, Phys. Rev. E 102, 053105 (2020).
- J. Eggers and T. F. Dupont, Drop formation in a one-dimensional approximation of the Navier–Stokes equation, J. Fluid Mech. 262, 205 (1994).
- P. Howell, Models for thin viscous sheets, Eur. J. Appl. Math. 7, 321 (1996).
- D. T. Papageorgiou, On the breakup of viscous liquid threads, Phys. Fluids 7, 1529 (1995).
- T. Erneux and S. H. Davis, Nonlinear rupture of free films, Phys. Fluids A 5, 1117 (1993).
- W. W. Zhang and J. R. Lister, Similarity solutions for van der Waals rupture of a thin film on a solid substrate, Phys. Fluids 11, 2454 (1999).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/w2n2-zzkd, which presents additional details.
- A. L. Bertozzi, M. P. Brenner, T. F. Dupont, and L. P. Kadanoff, Singularities and similarities in interface flows, in Trends and Perspectives in Applied Mathematics (Springer, New York, 1994), pp. 155–208.
- S. A. Teukolsky, B. P. Flannery, W. Press, and W. Vetterling, Numerical recipes in c, SMRP Res. Paper 693, 59 (1992).
- J. Eggers, Singularities in droplet pinching with vanishing viscosity, SIAM J. Appl. Math. 60, 1997 (2000).
- C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists And Engineers I: Asymptotic Methods and Perturbation Theory (Springer Science & Business Media, New York, 2013).
- J. Eggers and M. A. Fontelos, The role of self-similarity in singularities of partial differential equations, Nonlinearity 22, R1 (2008).
- J. King and M. Bowen, Touchdown-singularity formation and criticality in the thin-film equation, Phil. Trans. R. Soc. A 383, 20230375 (2025).
- T. F. Dupont, R. E. Goldstein, L. P. Kadanoff, and S.-M. Zhou, Finite-time singularity formation in Hele-Shaw systems, Phys. Rev. E 47, 4182 (1993).
- R. Almgren, A. Bertozzi, and M. P. Brenner, Stable and unstable singularities in the unforced Hele-Shaw cell, Phys. Fluids 8, 1356 (1996).
- J. Eggers, J. R. Lister, and H. A. Stone, Coalescence of liquid drops, J. Fluid Mech. 401, 293 (1999).
- Y. Zhao, R. Zakine, A. Daerr, Y. Kafri, J. Tailleur, and F. van Wijland, Active Young-Dupré equation: How self-organized currents stabilize partial wetting, arXiv:2405.20651.
- Luke Neville (2025), https://github.com/naturlog/chiral_break.