Particles on droplets: From fundamental physics to novel materials

Zeng, Chuan; Bissig, Hugo; Dinsmore, A. D.

doi:10.1016/j.ssc.2006.06.001

Cited by 94 publications

(79 citation statements)

References 136 publications

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“…By this procedure, we guarantee that the infinite sum in eqn (19) satisfies the following properties: (i) it converges for all q,z. (ii) It satisfies the BC (14) at the contact line in the asymptotic limit d / 0. These properties were verified numerically by comparing eqn (19) to direct numerical solution of eqn (10) with BCs (14)- (17), obtained by the MATLAB Partial Differential Equation (PDE) Toolbox (MathWorks Inc.).…”

Section: B the Electrostatic Analogymentioning

confidence: 96%

“…However, the particles do interact through the BCs (14) at their contact lines: particle 1 induces a deformation of the surface in the vicinity of particle 2, which modifies its contact line geometry and vice versa. If the particles are sufficiently far from each other, such that d [ a, b (where a, b are the radii of particles 1,2, respectively), then the surface deformation can be computed perturbatively:…”

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confidence: 99%

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Capillary interactions among spherical particles at curved liquid interfaces

et al. 2012

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We study the effect of interfacial curvature on the binding energy and forces exerted on small spherical particles that adsorb on an interface between two immiscible liquids. When the interface has anisotropic curvature, the constant-contact-angle condition at the particle-fluid boundary requires a deformation of the interface. Focusing on the case of an initially cylindrical interface, we predict the shape after a spherical particle binds. We then calculate the energy of adsorption and find that it depends on the shape of the interface very far from the binding site. Turning to the problem of two adsorbed spherical particles, we predict a capillary interaction that arises purely from the deformations caused by the contact-angle condition. An analogy is made between these curvature-induced capillary forces and electrostatic forces between quadrupoles in two dimensions. We conclude with a conjectured general form for the interaction of a single spherical particle with the Gaussian curvature of the underlying fluid interface, which we compare to previous work.

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Section: B the Electrostatic Analogymentioning

confidence: 96%

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confidence: 99%

Capillary interactions among spherical particles at curved liquid interfaces

et al. 2012

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“…This leads to (see Fig. 3(a) and compare with 4 Superficially one would expect a leading decay Vmen ∝ d −4 as displayed in equation (23). However, due to the geometric factor in the numerator of equation (23), this apparent leading order vanishes upon integration.…”

Section: Finite Thickness Of the Nematic Filmmentioning

confidence: 75%

“…, (A. 4) with the requirement of rotational covariance around the z-axis. In view of the boundary condition (Eq.…”

Section: Appendix a Corrections To The Strong-anchoring Limitmentioning

confidence: 99%

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Effective interactions of colloids on nematic films

Oettel

Domínguez

Tasinkevych³

et al. 2008

Eur. Phys. J. E

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Abstract. The elastic and capillary interactions between a pair of colloidal particles trapped on top of a nematic film are studied theoretically for large separations d. The elastic interaction is repulsive and of quadrupolar type, varying as d −5 . For macroscopically thick films, the capillary interaction is likewise repulsive and proportional to d −5 as a consequence of mechanical isolation of the system comprised of the colloids and the interface. A finite film thickness introduces a nonvanishing force on the system (exerted by the substrate supporting the film) leading to logarithmically varying capillary attractions. However, their strength turns out to be too small to be of importance for the recently observed pattern formation of colloidal droplets on nematic films.

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Synthese von Nano‐/Mikrostrukturen an fluiden Grenzflächen

Niu

Russell

et al. 2010

Angewandte Chemie

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Die Schaffung neuer multifunktionaler Materialien mit hierarchischer Ordnung ist ein Schwerpunkt der aktuellen Material‐ und Ingenieurswissenschaften. Ideale Ansatzpunkte für diese Bestrebungen sind Luft‐Flüssigkeit‐Grenzflächen und Grenzflächen zwischen zwei Flüssigkeiten, an denen sich Nanopartikel oder kolloidale Partikel akkumulieren und selbstorganisieren können. An solchen fluiden Grenzflächen wurden bereits verschiedenste Organisationsprozesse und Reaktionen durchgeführt, um hierarchische Strukturen wie zweidimensionale kristalline Filme, Kolloidosome, “Himbeer”‐ähnliche Kern‐Schale‐Strukturen oder Janus‐Partikel zu erzeugen. Diese Arbeiten führten zu zahlreichen Anwendungen beim Transport und bei der kontrollierten Freisetzung von Wirkstoffen, in der Nanoelektronik sowie für Sensoren, Nahrungsergänzungsmittel und Kosmetika.

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Particles on droplets: From fundamental physics to novel materials

Cited by 94 publications

References 136 publications

Capillary interactions among spherical particles at curved liquid interfaces

Capillary interactions among spherical particles at curved liquid interfaces

Effective interactions of colloids on nematic films

Synthese von Nano‐/Mikrostrukturen an fluiden Grenzflächen

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