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  • Letter
  • Open Access

Arrested phase separation in chiral fluids of colloidal spinners

Helena Massana-Cid1,2,*, Demian Levis1,3,*, Raúl Josué Hernández Hernández1,3, Ignacio Pagonabarraga1,3,4, and Pietro Tierno1,3,5,†

  • 1Departament de Física de la Matèria Condensada, Universitat de Barcelona 08028, Spain
  • 2Dipartimento di Fisica, Sapienza Università di Roma, 00185 Rome, Italy
  • 3Universitat de Barcelona Institute of Complex Systems (UBICS), Universitat de Barcelona, 08028 Barcelona, Spain
  • 4CECAM, Centre Européen de Calcul Atomique et Moléculaire, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Switzerland
  • 5Institut de Nanociència i Nanotecnologia, Universitat de Barcelona, 08028 Barcelona, Spain

  • *These authors contributed equally to this work.
  • †ptierno@ub.edu
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Phys. Rev. Research 3, L042021 – Published 10 November, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L042021

Abstract

We investigate phase separation in a chiral fluid, made of spinning ferromagnetic colloids that interact both via hydrodynamic and dipolar forces and collectively organize into separated circulating clusters. We show that, at high spinning frequency, hydrodynamics dominate over attractive magnetic interactions and impede coarsening, forcing the particles to assemble into a collection of finite rotating clusters of controllable size. We introduce a minimal particle-based model that unveils the fundamental role of hydrodynamics and the boundary plane in the self-organization process of the colloidal spinners. Our results shed light on the control of coarsening and dynamic self-assembly in chiral active systems and the key role played by fluid mediated long-range interactions.

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References (64)

  1. A. Onuki, Phase Transition Dynamics (Cambridge University Press, Cambridge, 2007).
  2. C. Misbah, O. Pierre-Louis, and Y. Saito, Crystal surfaces in and out of equilibrium: A modern view, Rev. Mod. Phys. 82, 981 (2010).
  3. J. Stangl, V. Holý, and G. Bauer, Structural properties of self-organized semiconductor nanostructures, Rev. Mod. Phys. 76, 725 (2004).
  4. J. Bibette, F. Leal Calderon, and P. Poulin, Emulsions: Basic principles, Rep. Prog. Phys. 62, 969 (1999).
  5. B. Li, D. Zhou, and Y. Han, Assembly and phase transitions of colloidal crystals, Nat. Rev. Mater. 1, 15011 (2016).
  6. C. P. Brangwynne, P. Tompa, and R. V. Pappu, Polymer physics of intracellular phase transitions, Nat. Phys. 11, 899 (2015).
  7. M. C. Cross and P. C. Hohenberg, Pattern formation outside of equilibrium, Rev. Mod. Phys. 65, 851 (1993).
  8. 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).
  9. 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).
  10. L. P. Dadhichi, A. Maitra, and S. Ramaswamy, Origins and diagnostics of the nonequilibrium character of active systems, J. Stat. Mech. (2018) 123201.
  11. G. Gompper, R. G. Winkler, T. Speck, A. Solon, C. Nardini, F. Peruani, H. Lwen, R. Golestanian, U. B. Kaupp, L. Alvarez, T. Kiørboe, E. Lauga, W. C. K. Poon, A. DeSimone, S. Muiños-Landin, A. Fischer, N. A. Sker, F. Cichos, R. Kapral, P. Gaspard et al., The 2020 motile active matter roadmap, J. Phys.: Condens. Matter 32, 193001 (2020).
  12. M. E. Cates and J. Tailleur, Motility-induced phase separation, Annu. Rev. Condens. Matter Phys. 6, 219 (2015).
  13. I. Llopis and I. Pagonabarraga, Dynamic regimes of hydrodynamically coupled self-propelling particles, Europhys. Lett. 75, 999 (2006).
  14. M. Leoni and T. B. Liverpool, Dynamics and interactions of active rotors, Europhys. Lett. 92, 64004 (2010).
  15. N. H. P. Nguyen, D. Klotsa, M. Engel, and S. C. Glotzer, Emergent Collective Phenomena in a Mixture of Hard Shapes Through Active Rotation, Phys. Rev. Lett. 112, 075701 (2014).
  16. Z. Shen and J. S. Lintuvuori, Hydrodynamic clustering and emergent phase separation of spherical spinners, Phys. Rev. Research 2, 013358 (2020).
  17. B. C. van Zuiden, J. Paulose, W. T. M. Irvine, D. Bartolo, and V. Vitelli, Spatiotemporal order and emergent edge currents in active spinner materials., Proc. Natl. Acad. Sci. USA 113, 12919 (2016).
  18. C. Scholz, M. Engel, and T. Pöschel, Rotating robots move collectively and self-organize, Nat. Commun. 9, 931 (2018).
  19. M. Workamp, G. Ramirez, K. E. Daniels, and J. A. Dijksman, Symmetry-reversals in chiral active matter, Soft Matter 14, 5572 (2018).
  20. M. Han, M. Fruchart, C. Scheibner, S. Vaikuntanathan, W. Irvine, J. de Pablo, and V. Vitelli, Statistical mechanics of a chiral active fluid, arXiv:2002.07679.
  21. D. Banerjee, A. Souslov, A. G. Abanov, and V. Vitelli, Odd viscosity in chiral active fluids, Nat. Commun. 8, 1573 (2017).
  22. T. Markovich and T. C. Lubensky, Odd Viscosity in Active Matter: Microscopic Origin and 3d Effects, Phys. Rev. Lett. 127, 048001 (2021).
  23. V. Soni, E. S. Bililign, S. Magkiriadou, S. Sacanna, D. Bartolo, M. J. Shelley, and W. T. M. Irvine, The odd free surface flows of a colloidal chiral fluid, Nat. Phys. 15, 1188 (2019).
  24. O. Petrichenko, G. Kitenbergs, M. Brics, E. Dubois, R. Perzynski, and A. Cēbers, Swarming of micron-sized hematite cubes in a rotating magnetic field–experiments, J. Magn. Magn. Mater. 500, 166404 (2020).
  25. E. S. Bililign, F. B. Usabiaga, Y. A. Ganan, V. Soni, S. Magkiriadou, M. J. Shelley, D. Bartolo, and W. Irvine, Chiral crystals self-knead into whorls, arXiv:2102.03263.
  26. P. Tierno, R. Muruganathan, and T. M. Fischer, Viscoelasticity of Dynamically Self-Assembled Paramagnetic Colloidal Clusters, Phys. Rev. Lett. 98, 028301 (2007).
  27. N. Osterman, I. Poberaj, J. Dobnikar, D. Frenkel, P. Ziherl, and D. Babić, Field-Induced Self-Assembly of Suspended Colloidal Membranes, Phys. Rev. Lett. 103, 228301 (2009).
  28. J. Yan, S. C. Bae, and S. Granick, Rotating crystals of magnetic janus colloids, Soft Matter 11, 147 (2015).
  29. D. Du, M. Doxastakis, E. Hilou, and S. L. Biswal, Two-dimensional melting of colloids with long-range attractive interactions, Soft Matter 13, 1548 (2017).
  30. A. T. Pham, Y. Zhuang, P. Detwiler, J. E. S. Socolar, P. Charbonneau, and B. B. Yellen, Phase diagram and aggregation dynamics of a monolayer of paramagnetic colloids, Phys. Rev. E 95, 052607 (2017).
  31. G. Helgesen, P. Pieranski, and A. T. Skjeltorp, Nonlinear Phenomena in Systems of Magnetic Holes, Phys. Rev. Lett. 64, 1425 (1990).
  32. J. Černák and G. Helgesen, Aggregation of magnetic holes in a rotating magnetic field, Phys. Rev. E 78, 061401 (2008).
  33. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L042021 for four videos as support of the experimental results and one .pdf file with more details of the experimental system and numerical simulations.
  34. S. Jäger, H. Stark, and S. H. L. Klapp, Dynamics of cluster formation in driven magnetic colloids dispersed on a monolayer, J. Phys.: Condens. Matter 25, 195104 (2013).
  35. F. Martinez-Pedrero, A. Cebers, and P. Tierno, Orientational dynamics of colloidal ribbons self assembled from microscopic magnetic ellipsoids, Soft Matter 12, 3688 (2016).
  36. P. Lenz, J.-F. Joanny, F. Jülicher, and J. Prost, Membranes with Rotating Motors, Phys. Rev. Lett. 91, 108104 (2003).
  37. Y. Fily, A. Baskaran, and M. C. Marchetti, Cooperative self-propulsion of active and passive rotors, Soft Matter 8, 3002 (2012).
  38. F. Martinez-Pedrero, A. Ortiz-Ambriz, I. Pagonabarraga, and P. Tierno, Colloidal Microworms Propelling Via a Cooperative Hydrodynamic Conveyor Belt, Phys. Rev. Lett. 115, 138301 (2015).
  39. A. J. Bray, Theory of phase-ordering kinetics, Adv. Phys. 51, 481 (2002).
  40. S. Puri and V. Wadhawan, Kinetics of Phase Transitions (CRC Press, Boca Raton, 2009).
  41. 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).
  42. I. Buttinoni, J. Bialké, F. Kümmel, H. Löwen, C. Bechinger, and T. Speck, Dynamical Clustering and Phase Separation in Suspensions of Self-Propelled Colloidal Particles, Phys. Rev. Lett. 110, 238301 (2013).
  43. 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).
  44. D. Levis and L. Berthier, Clustering and heterogeneous dynamics in a kinetic monte carlo model of self-propelled hard disks, Phys. Rev. E 89, 062301 (2014).
  45. J. Bialké, T. Speck, and H. Löwen, Active colloidal suspensions: Clustering and phase behavior, J. Non-Cryst. Solids 407, 367 (2015).
  46. F. Ginot, I. Theurkauff, F. Detcheverry, C. Ybert, and C. Cottin-Bizonne, Aggregation-fragmentation and individual dynamics of active clusters, Nat. Commun. 9, 696 (2018).
  47. B. Liebchen and D. Levis, Collective Behavior of Chiral Active Matter: Pattern Formation and Enhanced Flocking, Phys. Rev. Lett. 119, 058002 (2017).
  48. D. Levis and B. Liebchen, Micro-flock patterns and macro-clusters in chiral active brownian disks, J. Phys.: Condens. Matter 30, 084001 (2018).
  49. H. Massana-Cid, F. Meng, D. Matsunaga, R. Golestanian, and P. Tierno, Tunable self-healing of magnetically propelling colloidal carpets, Nat. Commun. 10, 2444 (2019).
  50. Q. Yang, H. Zhu, P. Liu, R. Liu, Q. Shi, K. Chen, N. Zheng, F. Ye, and M. Yang, Topologically Protected Transport of Cargo in a Chiral Active Fluid Aided by Odd-Viscosity-Enhanced Depletion Interactions, Phys. Rev. Lett. 126, 198001 (2021).
  51. A. Souslov, A. Gromov, and V. Vitelli, Anisotropic odd viscosity via a time-modulated drive, Phys. Rev. E 101, 052606 (2020).
  52. J. R. Blake and A. T. Chwang, Fundamental singularities of viscous flow, J. Eng. Math. 8, 23 (1974).
  53. J. Happel and H. Brenner, Low Reynolds number Hydrodynamics (Noordhoff, Leyden, 1965).
  54. B. A. Grzybowski, H. A. Stone, and G. M. Whitesides, Dynamic self-assembly of magne-tized, millimetre-sized objects rotating at a liquidair interface, Nature (London) 405, 1033 (2000).
  55. E. Climent, K. Yeo, M. R. Maxey, and G. E. Karniadakis, Dynamic self-assembly of spinningparticles, J. Fluids Eng. 129, 379 (2007).
  56. R. Di Leonardo, A. Búzás, L. Kelemen, G. Vizsnyiczai, L. Oroszi, and P. Ormos, Hydrodynamic Synchronization of Light Driven Microrotors, Phys. Rev. Lett. 109, 034104 (2012).
  57. G. Kokot, D. Piet, G. Whitesides, I. S. Aranson, and A. Snezhko, Emergence of reconfigurable wires and spinners via dynamic self-assembly, Sci. Rep. 5, 9528 (2015).
  58. G. Kokot, S. Das, R. Winkler, G. Gompper, I. Aranson, and A. Snezhko, Active turbulence in a gas of self-assembled spinners, Proc. Nat. Acad. Sci. USA 114, 12870 (2017).
  59. I. Riedel, K. Kruse, and J. Howard, A self-organized vortex array of hydrodynamically entrained sperm cells, Science 309, 300 (2005).
  60. K. Drescher, K. C. Leptos, I. Tuval, T. Ishikawa, T. J. Pedley, and R. E. Goldstein, Dancing Volvox: Hydrodynamic Bound States of Swimming Algae, Phys. Rev. Lett. 102, 168101 (2009).
  61. D. R. Brumley, M. Polin, T. J. Pedley, and R. E. Goldstein, Hydrodynamic Synchronization and Metachronal Waves on the Surface of the Colonial Alga Volvox Carteri, Phys. Rev. Lett. 109, 268102 (2012).
  62. A. P. Petroff, X.-L. Wu, and A. Libchaber, Fast-Moving Bacteria Self-Organize Into Active Two-Dimensional Crystals of Rotating Cells, Phys. Rev. Lett. 114, 158102 (2015).
  63. C. J. Pierce, H. Wijesinghe, E. Mumper, B. H. Lower, S. K. Lower, and R. Sooryakumar, Hydrodynamic Interactions, Hidden Order, and Emergent Collective Behavior in an Active Bacterial Suspension, Phys. Rev. Lett. 121, 188001 (2018).
  64. N. Oppenheimer, D. B. Stein, and M. J. Shelley, Rotating Membrane Inclusions Crystallize Through Hydrodynamic and Steric Interactions, Phys. Rev. Lett. 123, 148101 (2019).

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Phys. Rev. Research 3, L042021– Published 10 November, 2021
  • Received 21 July 2021
  • Accepted 5 October 2021
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