Shape-recovering liquids (2025)

  • Article
  • Published:

Nature Physics (2025)Cite this article

  • 78 Altmetric

  • Metrics details

Subjects

  • Colloids
  • Fluids
  • Self-assembly
  • Surfaces, interfaces and thin films
  • Wetting

Abstract

Binding particles to an interface between immiscible liquids to reduce interfacial tension underpins the emulsification and phase behaviour of composite liquid systems. Nevertheless, we found that the strong binding and two-dimensional assembly of ferromagnetic particles at a liquid–liquid interface not only suppresses emulsification but also increases interfacial tension. Consequently, the particle-stabilized interface in a cylindrical vessel rapidly and reproducibly adopts the shape of a Grecian urn after vigorous agitation. The suppression of emulsification, the rapid formation of a stable, non-planar equilibrium interface shape and the increase in interfacial tension all originate from attractive in-plane dipolar magnetic interactions between the particles.

Access through your institution

Buy or subscribe

This is a preview of subscription content, access via your institution

Access options

Access through your institution

Access Nature and 54 other Nature Portfolio journals

Get Nature+, our best-value online-access subscription

$29.99 /30days

cancel any time

Learn more

Subscribe to this journal

Receive 12 print issues and online access

$259.00 per year

only $21.58 per issue

Learn more

Buy this article

  • Purchase on SpringerLink
  • Instant access to full article PDF

Prices may be subject to local taxes which are calculated during checkout

Shape-recovering liquids (1)
Shape-recovering liquids (2)
Shape-recovering liquids (3)
Shape-recovering liquids (4)

Similar content being viewed by others

Shape-recovering liquids (5)

Dual nature of magnetic nanoparticle dispersions enables control over short-range attraction and long-range repulsion interactions

Article Open access 09 June 2022

Shape-recovering liquids (6)

Ferrofluidic aqueous two-phase system with ultralow interfacial tension and micro-pattern formation

Article Open access 03 May 2022

Shape-recovering liquids (7)

In-situ study of the impact of temperature and architecture on the interfacial structure of microgels

Article Open access 29 June 2022

Data availability

All relevant data are included in the paper and the Supplementary Information.

Code availability

All code used for analysis and simulation is presented in the Supplementary Information.

References

  1. de Carvalho-Guimarães, F. B. et al. A review of Pickering emulsions: perspectives and applications. Pharmaceuticals 15, 1413 (2022).

    MATH Google Scholar

  2. Berton-Carabin, C. C. & Schroën, K. Pickering emulsions for food applications: background, trends, and challenges. Annu. Rev. Food Sci. Technol. 6, 263–297 (2015).

    Google Scholar

  3. Chevalier, Y. & Bolzinger, M.-A. Emulsions stabilized with solid nanoparticles: Pickering emulsions. Colloids Surf. A 439, 23–34 (2013).

    Google Scholar

  4. Sacanna, S., Kegel, W. K. & Philipse, A. P. Thermodynamically stable Pickering emulsions. Phys. Rev. Lett. 98, 158301 (2007).

    ADS Google Scholar

  5. Wu B. et al. Attractive Pickering emulsion gels. Adv. Mater. https://doi.org/10.1002/adma.202102362 (2021).

  6. Dai, L., Sun, C., Wei, Y., Mao, L. & Gao, Y. Characterization of Pickering emulsion gels stabilized by zein/gum arabic complex colloidal nanoparticles. Food Hydrocoll. 74, 239–248 (2018).

    Google Scholar

  7. Li, X.-M., Meng, R., Xu, B.-C. & Zhang, B. Investigation of the fabrication, characterization, protective effect and digestive mechanism of a novel Pickering emulsion gels. Food Hydrocoll. 117, 106708 (2021).

    MATH Google Scholar

  8. Feng, W. et al. Harnessing liquid-in-liquid printing and micropatterned substrates to fabricate 3-dimensional all-liquid fluidic devices. Nat. Commun. 10, 1095 (2019).

    ADS MATH Google Scholar

  9. Shi, S. et al. Liquid letters. Adv. Mater. 30, 1705800 (2018).

    Google Scholar

  10. Fink, Z. et al. Repairable and reconfigurable structured liquid circuits. Adv. Funct. Mater. 34, 2402708 (2024).

    MATH Google Scholar

  11. Forth, J. et al. Building reconfigurable devices using complex liquid–fluid interfaces. Adv. Mater. 31, 1806370 (2019).

    ADS MATH Google Scholar

  12. Cui, M., Emrick, T. & Russell, T. P. Stabilizing liquid drops in nonequilibrium shapes by the interfacial jamming of nanoparticles. Science 342, 460–463 (2013).

    ADS MATH Google Scholar

  13. Bala Subramaniam, A., Abkarian, M., Mahadevan, L. & Stone, H. A. Non-spherical bubbles. Nature 438, 930 (2005).

    ADS Google Scholar

  14. Subramaniam, A. B., Abkarian, M. & Stone, H. A. Controlled assembly of jammed colloidal shells on fluid droplets. Nat. Mater. 4, 553–556 (2005).

    ADS MATH Google Scholar

  15. Sun, S., Liu, T., Shi, S. & Russell, T. P. Nanoparticle surfactants and structured liquids. Colloid Polym. Sci. 299, 523–536 (2021).

    MATH Google Scholar

  16. Ghaffarkhah, A. et al. Functional Janus structured liquids and aerogels. Nat. Commun. 14, 7811 (2023).

    ADS MATH Google Scholar

  17. Shi, S. et al. Self-Assembly of MXene-surfactants at liquid–liquid interfaces: from structured liquids to 3D aerogels. Angew. Chem. Int. Ed. 58, 18171–18176 (2019).

    ADS Google Scholar

  18. Pickering, S. U. CXCVI.—Emulsions. J. Chem. Soc. Trans. 91, 2001–2021 (1907).

    Google Scholar

  19. Binks, B. P. & Clint, J. H. Solid wettability from surface energy components: relevance to Pickering emulsions. Langmuir 18, 1270–1273 (2002).

    MATH Google Scholar

  20. Cates M. E. Complex fluids: the physics of emulsions. Preprint at https://arxiv.org/abs/1209.2290 (2012).

  21. Binks, B. P. & Lumsdon, S. O. Pickering emulsions stabilized by monodisperse latex particles: effects of particle size. Langmuir 17, 4540–4547 (2001).

    MATH Google Scholar

  22. Zhou, J. et al. Magnetic Pickering emulsions stabilized by Fe3O4 nanoparticles. Langmuir 27, 3308–3316 (2011).

    MATH Google Scholar

  23. Blossey, R. & Podgornik, R. A comprehensive continuum theory of structured liquids. J. Phys. A 56, 025002 (2023).

    ADS MathSciNet MATH Google Scholar

  24. Keane, R. K. et al. Adsorption of hydrophilic silica nanoparticles at oil–water interfaces with reversible emulsion stabilization by ion partitioning. Langmuir 38, 2821–2831 (2022).

    MATH Google Scholar

  25. Joshi C. et al. A programmable environment for shape optimization and shapeshifting problems. Nat. Comput. Sci. 5, 170–183 (2025).

  26. Rovigatti, L., Kantorovich, S., Ivanov, A. O., Tavares, J. M. & Sciortino, F. Branching points in the low-temperature dipolar hard sphere fluid. J. Chem. Phys. 139, 134901 (2013).

    ADS Google Scholar

  27. Prokopieva, T. A., Danilov, V. A. & Kantorovich, S. S. Ground state microstructure of a ferrofluid thin layer. J. Exp. Theor. Phys. 113, 435–449 (2011).

    ADS Google Scholar

  28. Adamson, A. W. & Gast, A. P. Physical Chemistry of Surfaces 6th edn (Wiley, 1997).

  29. Virga, E. G. Exact second virial coefficient for dipolar hard spheres. J. Phys. Condens. Matter 25, 465109 (2013).

    ADS MATH Google Scholar

  30. de Gennes, P. G. & Pincus, P. A. Pair correlations in a ferromagnetic colloid. Phys. kondens. Mater. 11, 189–198 (1970).

    ADS MATH Google Scholar

Download references

Acknowledgements

We acknowledge support from the National Science Foundation (Grant Number DMR-2104883) and the US Department of Energy, Office of Science, Office of Basic Energy Sciences, Materials Sciences and Engineering Division (Contract Number DE-AC02-05-CH11231) within the Adaptive Interfacial Assemblies Towards Structuring Liquids programme (KCTR16). J.D.P. acknowledges support from the National Science Foundation (Grant Number DMR-2318680). C.J. and T.J.A. acknowledge support from the National Science Foundation (Grant Number ACI-2003820). H.N.K. acknowledges financial support from the University of Massachusetts Amherst for starting faculty support. We thank B. Davidovich and A. Dinsmore of the Physics Department at the University of Massachusetts Amherst for insightful discussions.

Author information

Authors and Affiliations

  1. Department of Polymer Science and Engineering, University of Massachusetts Amherst, Amherst, MA, USA

    Anthony Raykh,Alex McGlasson,David A. Hoagland&Thomas P. Russell

  2. Department of Physics, University of Massachusetts Amherst, Amherst, MA, USA

    Anthony Raykh&Hima Nagamanasa Kandula

  3. Department of Physics, Syracuse University, Syracuse, NY, USA

    Joseph D. Paulsen

  4. Department of Physics, Tufts University, Medford, MA, USA

    Chaitanya Joshi&Timothy J. Atherton

  5. Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, CA, USA

    Thomas P. Russell

  6. Advanced Institute for Materials Research, Tohoku University, Aoba, Sendai, Japan

    Thomas P. Russell

Authors

  1. Anthony Raykh

    View author publications

    You can also search for this author inPubMedGoogle Scholar

  2. Joseph D. Paulsen

    View author publications

    You can also search for this author inPubMedGoogle Scholar

  3. Alex McGlasson

    View author publications

    You can also search for this author inPubMedGoogle Scholar

  4. Chaitanya Joshi

    View author publications

    You can also search for this author inPubMedGoogle Scholar

  5. Timothy J. Atherton

    View author publications

    You can also search for this author inPubMedGoogle Scholar

  6. Hima Nagamanasa Kandula

    View author publications

    You can also search for this author inPubMedGoogle Scholar

  7. David A. Hoagland

    View author publications

    You can also search for this author inPubMedGoogle Scholar

  8. Thomas P. Russell

    View author publications

    You can also search for this author inPubMedGoogle Scholar

Contributions

A.R. performed all the experiments. A.R., D.A.H. and T.P.R. wrote the paper. J.D.P analysed the interface shape. A.M. assisted in developing the idea. C.J. and T.J.A. developed Morpho and performed the simulations of the NP-laden interface. The project began in the laboratories of H.N.K. and T.P.R. D.A.H. and T.P.R. supervised and directed the project. All authors commented on the paper.

Corresponding authors

Correspondence to David A. Hoagland or Thomas P. Russell.

Ethics declarations

Competing interests

The authors declare no competing interests.

Peer review

Peer review information

Nature Physics thanks the anonymous reviewers for their contribution to the peer review of this work.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary information

Supplementary Information

Calculation and simulation details, Supplementary Fig. 1, discussion, Table 1 and descriptions of Videos 1 and 2

Supplementary Video 1

Agitating a DCM–water mixture containing nickel particles to form DCM droplets dispersed in water. After agitation, these coalesce into container-sized liquid phases separated by an interface shaped like a Grecian urn.

Supplementary Video 2

A Grecian urn interface under a high frequency magnetic field (~50 Hz) visibly rotates under effects of the field. The shadow of a cluster of particles can be seen moving underneath the urn, highlighting the rotation. Of magnitude roughly 50 mT, the magnetic field was applied by a magnetic stir plate

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Shape-recovering liquids (8)

Cite this article

Raykh, A., Paulsen, J.D., McGlasson, A. et al. Shape-recovering liquids. Nat. Phys. (2025). https://doi.org/10.1038/s41567-025-02865-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1038/s41567-025-02865-1

Shape-recovering liquids (2025)

References

Top Articles
Latest Posts
Recommended Articles
Article information

Author: Duane Harber

Last Updated:

Views: 6456

Rating: 4 / 5 (71 voted)

Reviews: 94% of readers found this page helpful

Author information

Name: Duane Harber

Birthday: 1999-10-17

Address: Apt. 404 9899 Magnolia Roads, Port Royceville, ID 78186

Phone: +186911129794335

Job: Human Hospitality Planner

Hobby: Listening to music, Orienteering, Knapping, Dance, Mountain biking, Fishing, Pottery

Introduction: My name is Duane Harber, I am a modern, clever, handsome, fair, agreeable, inexpensive, beautiful person who loves writing and wants to share my knowledge and understanding with you.