J. Phys. I France 2 (1992) 571-579
Convex particles at interfacesElie Raphaël1, Jean-Marc di Meglio1, Marcel Berger2 and Eugenio Calabi3
1 Laboratoire de Physique de la Matière Condensée, Collège de France, 11 place Marcelin-Berthelot, 75231 Paris Cedex 05, France
2 Institut des Hautes Etudes Scientifiques, 35 route de Chartres, 91440 Bures sur Yvette, France
3 Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104-6395 U.S.A
(Received 29 August 1991, revised 30 January 1992, accepted 7 February 1992)
We study the equilibrium positions of a long prismatic particle of convex cross-section at a liquid/liquid interface in the gravity-free situation. We show in particular that : i) in a stable equilibrium position the contact angles at both three-phase lines obey the Young equation, ii) for any convex cross-section there are at least four positions for which contact angles obey the Young equation. Moreover, the stability of these positions is investigated.
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