Theory of Shape-Shifting Droplets

Physical Review Letters

Volumn 118, Issue 8, 2017, Pages

  Haas, Pierre A ^a   Goldstein, Raymond E ^a   Smoukov, Stoyan K ^b   Cholakova, Diana ^c   Denkov, Nikolai ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

DROPS; EMULSIFICATION; EMULSIONS;

BULK LIQUID; OIL EMULSIONS; SHARP CORNERS; STRAIGHT EDGE; THREE-DIMENSIONAL STRUCTURE; TOPOLOGICAL TRANSITIONS;

TOPOLOGY;

ARTICLE; COMPETITION; HUMAN CELL; HUMAN TISSUE; PHASE TRANSITION; SPROUTING; SURFACE TENSION; THROMBOCYTE;

EID: 85014482735     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.118.088001     Document Type: Article

References (14)

1. A. M. Turing, The chemical basis of morphogenesis, Phil. Trans. R. Soc. B 237, 37 (1952). PTRBAE 0962-8436 10.1098/rstb.1952.0012
2. Plato, (Equation presented) (The Republic) (Ancient Greece). See, e.g., http://classics.mit.edu/Plato/republic.mb.txt
3. N. Denkov, S. Tcholakova, I. Lesov, D. Cholakova, and S. K. Smoukov, Self-shaping of oil droplets via the formation of intermediate rotator phases upon cooling, Nature (London) 528, 392 (2015). NATUAS 0028-0836 10.1038/nature16189
4. E. B. Sirota and A. B. Herhold, Transient phase-induced nucleation, Science 283, 529 (1999). SCIEAS 0036-8075 10.1126/science.283.5401.529
5. S. Guttman, Z. Sapir, M. Schulz, A. V. Butenko, B. M. Ocko, M. Deutsch, and E. Sloutskin, How faceted liquid droplets grow tails, Proc. Natl. Acad. Sci. U.S.A. 113, 493 (2016). PNASA6 0027-8424 10.1073/pnas.1515614113
6. S. Guttman, B. M. Ocko, M. Deutsch, and E. Sloutskin, From faceted vesicles to liquid icosahedra: Where topology and crystallography meet, Curr. Opin. Colloid Interface Sci. 22, 35 (2016). COCSFL 1359-0294 10.1016/j.cocis.2016.02.002
7. D. Cholakova, N. Denkov, S. Tcholakova, I. Lesov, and S. K. Smoukov, Control of drop shape transformations in cooled emulsions, Adv. Colloid Interface Sci. 235, 90 (2016). ACISB9 0001-8686 10.1016/j.cis.2016.06.002
8. N. Denkov, D. Cholakova, S. Tcholakova, and S. K. Smoukov, On the mechanism of drop "self-shaping" in cooled emulsions, Langmuir 32, 7985 (2016). LANGD5 0743-7463 10.1021/acs.langmuir.6b01626
9. M. J. Bowick and R. Sknepnek, Pathways to faceting of vesicles, Soft Matter 9, 8088 (2013). SMOABF 1744-683X 10.1039/c3sm51729b
10. J. Lidmar, L. Mirny, and D. R. Nelson, Virus shapes and buckling transitions in spherical shells, Phys. Rev. E 68, 051910 (2003). PRESCM 1539-3755 10.1103/PhysRevE.68.051910
11. H. Kraack, M. Deutsch, and E. B. Sirota, (Equation presented)-alkane homogeneous nucleation: Crossover to polymer behavior, Macromolecules 33, 6174 (2000). MAMOBX 0024-9297 10.1021/ma000312m
12. Z. Suo, Motions of microscopic surfaces in materials, Adv. Appl. Mech. 33, 193 (1997). AAMCAY 0065-2156 10.1016/S0065-2156(08)70387-9
13. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevLett.118.088001, which includes Ref. [15], for a derivation of the governing equations, a detailed discussion of the three-dimensional effects, and videos of simulations of evolving droplets.
14. W. Helfrich, Elastic properties of lipid bilayers: Theory and possible experiments, Z. Naturforsch. C 28, 693 (1973). ZNFCAP 0341-0471 10.1515/znc-1973-11-1209