Volume 80, Number 6, December 2007
|Number of page(s)||6|
|Section||Condensed Matter: Structural, Mechanical and Thermal Properties|
|Published online||19 November 2007|
Contact line stability of ridges and drops
Laboratoire de Physique Théorique de la Matière Condensée, Université Pierre et Marie Curie Tour 24, Boîte 121, 4 place Jussieu, F-75252 Paris 05, France
2 Laboratoire de Physique Statistique de l'Ecole Normale Supérieure - 24 rue Lhomond, F-75231 Paris 05, France
3 Max-Planck-Institut für Metallforschung - Heisenbergstr. 3, D-70569 Stuttgart, Germany
4 Institut für Theoretische und Angewandte Physik, Universität Stuttgart - Pfaffenwaldring 57, D-70569 Stuttgart, Germany
5 Max-Planck-Institut für Dynamik und Selbstorganisation - Bunsenstr. 10, D-37073 Göttingen, Germany
Corresponding author: firstname.lastname@example.org
Accepted: 23 October 2007
Within the framework of a semi-microscopic interface displacement model in the small slope approximation we analyze the linear stability of sessile ridges and drops of a non-volatile liquid on a homogeneous, partially wet substrate, for both signs and arbitrary amplitudes of the three-phase contact line tension. Focusing on perturbations which correspond to deformations of the three-phase contact line, we find that drops are generally stable while ridges are subject only to the long-wavelength Rayleigh-Plateau instability leading to a breakup into droplets, in contrast to the predictions of capillary models which take line tension into account. We argue that the short-wavelength instabilities predicted within the framework of the latter macroscopic capillary theory occur outside its range of validity and thus are spurious.
PACS: 68.15.+e – Liquid thin films / 68.03.Cd – Surface tension and related phenomena / 68.03.-g – Gas-liquid and vacuum-liquid interfaces
© EPLA, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.