Comment on "Curvature capillary migration of microspheres" by N. Sharifi-Mood, I.B. Liu, K.J. Stebe, Soft Matter, 2015, 11, 6768, arXiv:1502.01672 - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Soft Matter Année : 2016

Comment on "Curvature capillary migration of microspheres" by N. Sharifi-Mood, I.B. Liu, K.J. Stebe, Soft Matter, 2015, 11, 6768, arXiv:1502.01672

Aloïs Würger

Résumé

In a recent paper, Sharifi-Mood et al. study colloidal particles trapped at a liquid interface with opposite principal curvatures c1 = −c2. In the theory part, they claim that the trapping energy vanishes at second order in ∆c= c1 − c 2 , which would invalidate our previous result [Phys. Rev. E, 2006, 74, 041402]. Here we show that this claim arises from an improper treatment of the outer boundary condition on the deformation field. For both pinned and moving contact lines, we find that the outer boundary is irrelevant, which confirms our previous work. More generally, we show that the trapping energy is determined by the deformation close to the particle and does not depend on the far-field. PACS numbers: Colloidal particles trapped at a curved liquid interface are subject to capillary forces that do not depend on their mass or charge but on geometrical parameters only. In Ref. [1], Sharifi-Mood et al. provide an interesting analysis of the role of contact line pinning. Regarding the trapping energy, however, these authors assert that it vanishes at second order, contrary to previous work, and they state that " the origin of the discrepancy is an inappropriate treatment of the contour integral " in [2]. The present comment intends to refute this claim of [1], to unambiguously determine the trapping energy, and to clarify the role of the far-field. Previous works [2—4] rely on the assumption that curvature-induced forces arise from the interface close to the particle and that the far-field is irrelevant. Thus the profile of the bare interface is taken in small-gradient approximation ,  0 = ∆
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hal-01264974 , version 1 (01-02-2016)

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Aloïs Würger. Comment on "Curvature capillary migration of microspheres" by N. Sharifi-Mood, I.B. Liu, K.J. Stebe, Soft Matter, 2015, 11, 6768, arXiv:1502.01672. Soft Matter, 2016, 12 (2), pp.331-332. ⟨10.1039/c5sm01948f⟩. ⟨hal-01264974⟩

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