Trapping energy of a spherical particle on a curved liquid interface
Résumé
We derive the trapping energy of a colloidal particle at a liquid interface with contact angle θ and principal curvatures c1 and c2. The boundary conditions at the particle surface are significantly simplified by introducing the shift ε of its vertical position. We discuss the undulating contact line and the curvature-induced lateral forces for a single particle and a pair of nearby particles. The single-particle trapping energy is found to increase with the square of the mean curvature c1 + c2 and to decrease with the square of the anisotropy c1 − c2. Thus particles on a minimal surface (c1 + c2 = 0) move toward strongly curved regions, whereas on a deformed droplet they migrate to flatter areas.
Domaines
Matière Molle [cond-mat.soft]
Origine : Fichiers produits par l'(les) auteur(s)
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