• Open Access

Shape-shifting polyhedral droplets

Pierre A. Haas, Diana Cholakova, Nikolai Denkov, Raymond E. Goldstein, and Stoyan K. Smoukov
Phys. Rev. Research 1, 023017 – Published 16 September 2019
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Abstract

Cooled oil emulsion droplets in aqueous surfactant solution have been observed to flatten into a remarkable host of polygonal shapes with straight edges and sharp corners, but different driving mechanisms—(i) a partial phase transition of the liquid bulk oil into a plastic rotator phase near the droplet interface and (ii) buckling of the interfacially frozen surfactant monolayer enabled by a drastic lowering of surface tension—have been proposed. Here, combining experiment and theory, we analyze the initial stages of the evolution of these “shape-shifting” droplets, during which a polyhedral droplet flattens into a polygonal platelet under cooling and gravity. Using reflected-light microscopy, we reveal how icosahedral droplets evolve through an intermediate octahedral stage to flatten into hexagonal platelets. This behavior is reproduced by a theoretical model of the phase transition mechanism, but the buckling mechanism can only reproduce the flattening if the deformations are driven by buoyancy. This requires surface tension to decrease by several orders of magnitude during cooling and yields bending modulus estimates orders of magnitude below experimental values. The analysis thus shows that the phase transition mechanism underlies the observed “shape-shifting” phenomena.

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  • Received 19 February 2019

DOI:https://doi.org/10.1103/PhysRevResearch.1.023017

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.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Polymers & Soft Matter

Authors & Affiliations

Pierre A. Haas1,*, Diana Cholakova2, Nikolai Denkov2, Raymond E. Goldstein1, and Stoyan K. Smoukov3,†

  • 1Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
  • 2Department of Chemical and Pharmaceutical Engineering, Faculty of Chemistry and Pharmacy, University of Sofia, 1164 Sofia, Bulgaria
  • 3School of Engineering and Materials Science, Queen Mary, University of London, Mile End Road, London E1 4NS, United Kingdom

  • *P.A.Haas@damtp.cam.ac.uk
  • Corresponding author: s.smoukov@qmul.ac.uk

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Vol. 1, Iss. 2 — September 2019

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