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Interactions and pattern formation in a macroscopic magnetocapillary SALR system of mermaid cereal

Author

Listed:
  • Alireza Hooshanginejad

    (Brown University)

  • Jack-William Barotta

    (Brown University)

  • Victoria Spradlin

    (Brown University
    The Wheeler School)

  • Giuseppe Pucci

    (Consiglio Nazionale delle Ricerche - Istituto di Nanotecnologia (CNR-NANOTEC)
    IPR (Institut de Physique de Rennes) UMR 6251)

  • Robert Hunt

    (Brown University)

  • Daniel M. Harris

    (Brown University)

Abstract

When particles are deposited at a fluid interface they tend to aggregate by capillary attraction to minimize the overall potential energy of the system. In this work, we embed floating millimetric disks with permanent magnets to introduce a competing repulsion effect and study their pattern formation in equilibrium. The pairwise energy landscape of two disks is described by a short-range attraction and long-range repulsion (SALR) interaction potential, previously documented in a number of microscopic condensed matter systems. Such competing interactions enable a variety of pairwise equilibrium states, including the possibility of a local minimum energy corresponding to a finite disk spacing. Two-dimensional (2D) experiments and simulations in confined geometries demonstrate that as the areal packing fraction is increased, the dilute repulsion-dominated lattice state becomes unstable to the spontaneous formation of localized clusters, which eventually merge into a system-spanning striped pattern. Finally, we demonstrate that the equilibrium pattern can be externally manipulated by the application of a supplemental vertical magnetic force that remotely enhances the effective capillary attraction.

Suggested Citation

  • Alireza Hooshanginejad & Jack-William Barotta & Victoria Spradlin & Giuseppe Pucci & Robert Hunt & Daniel M. Harris, 2024. "Interactions and pattern formation in a macroscopic magnetocapillary SALR system of mermaid cereal," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-49754-4
    DOI: 10.1038/s41467-024-49754-4
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    References listed on IDEAS

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    1. Anna Stradner & Helen Sedgwick & Frédéric Cardinaux & Wilson C. K. Poon & Stefan U. Egelhaaf & Peter Schurtenberger, 2004. "Equilibrium cluster formation in concentrated protein solutions and colloids," Nature, Nature, vol. 432(7016), pages 492-495, November.
    2. Cheng Zeng & Maya Winters Faaborg & Ahmed Sherif & Martin J. Falk & Rozhin Hajian & Ming Xiao & Kara Hartig & Yohai Bar-Sinai & Michael P. Brenner & Vinothan N. Manoharan, 2022. "3D-printed machines that manipulate microscopic objects using capillary forces," Nature, Nature, vol. 611(7934), pages 68-73, November.
    3. Michael Matty & Eun-Ah Kim, 2022. "Melting of generalized Wigner crystals in transition metal dichalcogenide heterobilayer Moiré systems," Nature Communications, Nature, vol. 13(1), pages 1-7, December.
    4. David L. Hu & John W. M. Bush, 2005. "Meniscus-climbing insects," Nature, Nature, vol. 437(7059), pages 733-736, September.
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