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  • Letter
  • Open Access

Excluded volume induces buckling in optically driven colloidal rings

Eric Cereceda-López1,2,*, Mattia Ostinato1,3,*, Antonio Ortiz-Ambriz1,4, Arthur V. Straube5,6,†, Matteo Palassini1,3, and Pietro Tierno1,3,2,‡

  • 1Departament de Física de la Matèria Condensada, Universitat de Barcelona, 08028 Barcelona, Spain
  • 2Institut de Nanociència i Nanotecnologia, Universitat de Barcelona, 08028 Barcelona, Spain
  • 3Universitat de Barcelona Institute of Complex Systems (UBICS), Universitat de Barcelona, 08028 Barcelona, Spain
  • 4Tecnologico de Monterrey, Escuela de Ingeniería y Ciencias, Monterrey 64849, Mexico
  • 5Zuse Institute Berlin, Takustraße 7, 14195 Berlin, Germany
  • 6Freie Universität Berlin, Department of Mathematics and Computer Science, Arnimallee 6, 14195 Berlin, Germany

  • *These authors equally contributed to this work.
  • †straube@zib.de
  • ‡ptierno@ub.edu
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Phys. Rev. Research 6, L012044 – Published 1 March, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012044

Abstract

In our combined experimental, theoretical, and numerical work, we study the out-of-equilibrium deformations in a shrinking ring of optically trapped, interacting colloidal particles. Steerable optical tweezers are used to confine dielectric microparticles along a circle of discrete harmonic potential wells, and to reduce the ring radius at a controlled quench speed. We show that excluded-volume interactions are enough to induce particle sliding from their equilibrium positions and nonequilibrium zigzag roughening of the colloidal structure. Our work unveils the underlying mechanism of interfacial deformation in radially driven microscopic discrete rings.

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References (69)

  1. S. T. Chui and J. D. Weeks, Dynamics of the roughening transition, Phys. Rev. Lett. 40, 733 (1978).
  2. M. Kardar, G. Parisi, and Y.-C. Zhang, Dynamic scaling of growing interfaces, Phys. Rev. Lett. 56, 889 (1986).
  3. T. Vicsek, M. Cserzö, and V. K. Horváth, Self-affine growth of bacterial colonies, Physica A 167, 315 (1990).
  4. J. I. Wakita, H. Itoh, T. Matsuyama, and M. Matsushita, Self-affinity for the growing interface of bacterial colonies, J. Phys. Soc. Jpn. 66, 67 (1997).
  5. G. Rapin, N. Caballero, I. Gaponenko, B. Ziegler, A. Rawleigh, E. Moriggi, T. Giamarchi, S. A. Brown, and P. Paruch, Roughness and dynamics of proliferating cell fronts as a probe of cell-cell interactions, Sci. Rep. 11, 8869 (2021).
  6. T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1992).
  7. A.-L. Barabási and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, UK, 1995).
  8. E. G. Flekkøy and D. H. Rothman, Fluctuating fluid interfaces, Phys. Rev. Lett. 75, 260 (1995).
  9. F. W. Starr, S. T. Harrington, B. M. Boghosian, and H. E. Stanley, Interface roughening in a hydrodynamic lattice-gas model with surfactant, Phys. Rev. Lett. 77, 3363 (1996).
  10. D. Stelitano and D. H. Rothman, Fluctuations of elastic interfaces in fluids: Theory, lattice-boltzmann model, and simulation, Phys. Rev. E 62, 6667 (2000).
  11. L. M. C. Sagis, Fluctuations of permeable interfaces in water-in-water emulsions, Phys. Rev. Lett. 98, 066105 (2007).
  12. H. van Beijeren, Exactly solvable model for the roughening transition of a crystal surface, Phys. Rev. Lett. 38, 993 (1977).
  13. M. S. Hoogeman, M. A. J. Klik, D. C. Schlößer, L. Kuipers, and J. W. M. Frenken, Real-space measurement of surface roughening, Phys. Rev. Lett. 82, 1728 (1999).
  14. H. P. Bonzel, 3D equilibrium crystal shapes in the new light of STM and AFM, Phys. Rep. 385, 1 (2003).
  15. S. Balibar, H. Alles, and A. Y. Parshin, The surface of helium crystals, Rev. Mod. Phys. 77, 317 (2005).
  16. S. Gokhale, K. H. Nagamanasa, V. Santhosh, A. K. Sood, and R. Ganapathy, Directional grain growth from anisotropic kinetic roughening of grain boundaries in sheared colloidal crystals, Proc. Natl. Acad. Sci. USA 109, 20314 (2012).
  17. F. A. Lavergne, D. G. A. L. Aarts, and R. P. A. Dullens, Anomalous grain growth in a polycrystalline monolayer of colloidal hard spheres, Phys. Rev. X 7, 041064 (2017).
  18. M. Liao, X. Xiao, S. T. Chui, and Y. Han, Grain-boundary roughening in colloidal crystals, Phys. Rev. X 8, 021045 (2018).
  19. T. Andac, P. Weigmann, S. K. P. Velu, E. Pince, G. Volpe, G. Volpe, and A. Callegari, Active matter alters the growth dynamics of coffee rings, Soft Matter 15, 1488 (2019).
  20. G. Fausti, E. Tjhung, M. E. Cates, and C. Nardini, Capillary interfacial tension in active phase separation, Phys. Rev. Lett. 127, 068001 (2021).
  21. B. Lemma, N. P. Mitchell, R. Subramanian, D. J. Needleman, and Z. Dogic, Active microphase separation in mixtures of microtubules and tip-accumulating molecular motors, Phys. Rev. X 12, 031006 (2022).
  22. J. Pécréaux, H.-G. Döbereiner, J. Prost, J.-F. Joanny, and P. Bassereau, Refined contour analysis of giant unilamellar vesicles, Eur. Phys. J. E 13, 277 (2004).
  23. M. D. El Alaoui Faris, D. Lacoste, J. Pécréaux, J.-F. Joanny, J. Prost, and P. Bassereau, Membrane tension lowering induced by protein activity, Phys. Rev. Lett. 102, 038102 (2009).
  24. M. A. C. Huergo, M. A. Pasquale, P. H. González, A. E. Bolzán, and A. J. Arvia, Dynamics and morphology characteristics of cell colonies with radially spreading growth fronts, Phys. Rev. E 84, 021917 (2011).
  25. Z. You, D. J. G. Pearce, A. Sengupta, and L. Giomi, Mono- to multilayer transition in growing bacterial colonies, Phys. Rev. Lett. 123, 178001 (2019).
  26. K. A. Takeuchi and M. Sano, Universal fluctuations of growing interfaces: Evidence in turbulent liquid crystals, Phys. Rev. Lett. 104, 230601 (2010).
  27. K. A. Takeuchi, M. Sano, T. Sasamoto, and H. Spohn, Growing interfaces uncover universal fluctuations behind scale invariance, Sci. Rep. 1, 34 (2011).
  28. G. Witz, K. Rechendorff, J. Adamcik, and G. Dietler, Conformation of ring polymers in 2D constrained environments, Phys. Rev. Lett. 106, 248301 (2011).
  29. S. N. Santalla, J. Rodríguez-Laguna, and R. Cuerno, Circular Kardar-Parisi-Zhang equation as an inflating, self-avoiding ring polymer, Phys. Rev. E 89, 010401(R) (2014).
  30. T. Halpin-Healy and Y.-C. Zhang, Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics, Phys. Rep. 254, 215 (1995).
  31. J. Krug, Origins of scale invariance in growth processes, Adv. Phys. 254, 139 (2006).
  32. R. Toussaint, G. Helgesen, and E. G. Flekkøy, Dynamic roughening and fluctuations of dipolar chains, Phys. Rev. Lett. 93, 108304 (2004).
  33. P. J. Yunker, M. A. Lohr, T. Still, A. Borodin, D. J. Durian, and A. G. Yodh, Effects of particle shape on growth dynamics at edges of evaporating drops of colloidal suspensions, Phys. Rev. Lett. 110, 035501 (2013).
  34. W. B. Russel, D. A. Saville, and W. R. Schowalter, Colloidal Dispersions (Cambridge University Press, Cambridge, UK, 1989).
  35. C. Lutz, M. Reichert, H. Stark, and C. Bechinger, Surmounting barriers: The benefit of hydrodynamic interactions, Europhys. Lett. 74, 719 (2006).
  36. Y. Roichman, D. G. Grier, and G. Zaslavsky, Anomalous collective dynamics in optically driven colloidal rings, Phys. Rev. E 75, 020401(R) (2007).
  37. Y. Sokolov, D. Frydel, D. G. Grier, H. Diamant, and Y. Roichman, Hydrodynamic pair attractions between driven colloidal particles, Phys. Rev. Lett. 107, 158302 (2011).
  38. H. Nagar and Y. Roichman, Collective excitations of hydrodynamically coupled driven colloidal particles, Phys. Rev. E 90, 042302 (2014).
  39. D. Lips, E. C.-L. A. Ortiz-Ambriz, P. Tierno, A. Ryabov, and P. Maass, Hydrodynamic interactions hinder transport of flow-driven colloidal particles, Soft Matter 18, 8983 (2022).
  40. E. B. Zhulina, O. V. Borisov, and V. A. Priamitsyn, Theory of steric stabilization of colloid dispersions by grafted polymers, J. Colloid Interface Sci. 137, 495 (1990).
  41. J. Dzubiella, H. Löwen, and C. N. Likos, Depletion forces in nonequilibrium, Phys. Rev. Lett. 91, 248301 (2003).
  42. M. Bruna and S. J. Chapman, Excluded-volume effects in the diffusion of hard spheres, Phys. Rev. E 85, 011103 (2012).
  43. F. Rusciano, R. Pastore, and F. Greco, Fickian non-gaussian diffusion in glass-forming liquids, Phys. Rev. Lett. 128, 168001 (2022).
  44. W. K. Kegel and A. van Blaaderen, Direct observation of dynamical heterogeneities in colloidal hard-sphere suspensions, Science 287, 290 (2000).
  45. D. Lips, A. Ryabov, and P. Maass, Brownian asymmetric simple exclusion process, Phys. Rev. Lett. 121, 160601 (2018).
  46. L. L. Treffenstädt and M. Schmidt, Universality in driven and equilibrium hard sphere liquid dynamics, Phys. Rev. Lett. 126, 058002 (2021).
  47. A. P. Antonov, A. Ryabov, and P. Maass, Solitons in overdamped Brownian dynamics, Phys. Rev. Lett. 129, 080601 (2022).
  48. J. Mattsson, H. M. Wyss, A. Fernandez-Nieves, K. Miyazaki, Z. Hu, D. R. Reichman, and D. A. Weitz, Soft colloids make strong glasses, Nature (London) 462, 83 (2009).
  49. D. T. N. Chen, Q. Wen, P. A. Janmey, J. C. Crocker, and A. G. Yodh, Rheology of soft materials, Annu. Rev. Condens. Matter Phys. 1, 301 (2010).
  50. Y. Han, Y. Shokef, A. M. Alsayed, P. Yunker, T. C. Lubensky, and A. G. Yodh, Geometric frustration in buckled colloidal monolayers, Nature (London) 456, 898 (2008).
  51. D. Zhou, F. Wang, B. Li, X. Lou, and Y. Han, Glassy spin dynamics in geometrically frustrated buckled colloidal crystals, Phys. Rev. X 7, 021030 (2017).
  52. S. Sacanna, W. T. M. Irvine, P. M. Chaikin, and D. J. Pine, Lock and key colloids, Nature (London) 464, 575 (2010).
  53. L. Feng, B. Laderman, S. Sacanna, and P. Chaikin, Re-entrant solidification in polymer-colloid mixtures as a consequence of competing entropic and enthalpic attractions, Nat. Mater. 14, 61 (2015).
  54. A. Rosato, K. J. Strandburg, F. Prinz, and R. H. Swendsen, Why the Brazil nuts are on top: Size segregation of particulate matter by shaking, Phys. Rev. Lett. 58, 1038 (1987).
  55. J. Duran, J. Rajchenbach, and E. Clément, Arching effect model for particle size segregation, Phys. Rev. Lett. 70, 2431 (1993).
  56. P. G. Bolhuis, A. A. Louis, and J.-P. Hansen, Influence of polymer-excluded volume on the phase-behavior of colloid-polymer mixtures, Phys. Rev. Lett. 89, 128302 (2002).
  57. Y. Pollak, S. Goldberg, and R. Amit, Self-avoiding wormlike chain model for double-stranded-DNA loop formation, Phys. Rev. E 90, 052602 (2014).
  58. W. Reisner, J. P. Beech, N. B. Larsen, H. Flyvbjerg, A. Kristensen, and J. O. Tegenfeldt, Nanoconfinement-enhanced conformational response of single DNA molecules to changes in ionic environment, Phys. Rev. Lett. 99, 058302 (2007).
  59. D. R. Tree, Y. Wang, and K. D. Dorfman, Extension of DNA in a nanochannel as a rod-to-coil transition, Phys. Rev. Lett. 110, 208103 (2013).
  60. A. P. Antonov, D. Voráč, A. Ryabov, and P. Maass, Collective excitations in jammed states: Ultrafast defect propagation and finite-size scaling, New J. Phys. 24, 093020 (2022).
  61. A. Carpio and L. L. Bonilla, Wave front depinning transition in discrete one-dimensional reaction-diffusion systems, Phys. Rev. Lett. 86, 6034 (2001).
  62. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L012044 for two supplemental videos and one file to support the main results.
  63. J. C. Crocker and D. G. Grier, Microscopic measurement of the pair interaction potential of charge-stabilized colloid, Phys. Rev. Lett. 73, 352 (1994).
  64. A. V. Straube, R. P. A. Dullens, L. Schimansky-Geier, and A. A. Louis, Zigzag transitions and nonequilibrium pattern formation in colloidal chains, J. Chem. Phys. 139, 134908 (2013).
  65. J. D. Weeks, D. Chandler, and H. C. Andersen, Role of repulsive forces in determining the equilibrium structure of simple liquids, J. Chem. Phys. 54, 5237 (1971).
  66. N. Tsapis, E. R. Dufresne, S. S. Sinha, C. S. Riera, J. W. Hutchinson, L. Mahadevan, and D. A. Weitz, Onset of buckling in drying droplets of colloidal suspensions, Phys. Rev. Lett. 94, 018302 (2005).
  67. F. Meng, M. Doi, and Z. Ouyang, Cavitation in drying droplets of soft matter solutions, Phys. Rev. Lett. 113, 098301 (2014).
  68. G. Munglani, F. K. Wittel, R. Vetter, F. Bianchi, and H. J. Herrmann, Collapse of orthotropic spherical shells, Phys. Rev. Lett. 123, 058002 (2019).
  69. X. Wang, L. Wu, G. Wang, and G. Chen, Dynamic crystallization and phase transition in evaporating colloidal droplets, Nano Lett. 19, 8225 (2019).

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Phys. Rev. Research 6, L012044– Published 1 March, 2024
  • Received 27 July 2023
  • Accepted 21 December 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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