Contact line stability of ridges and drops

Details Contact line stability of ridges and drops Contact line stability of ridges and drops

2007-07-25

arxiv.org/abs/0707.3735v1

Physics

Condensed Matter

Soft Condensed Matter

6 pages, 1 figure

Scientific paper

10.1209/0295-5075/80/66002

Within the framework of a semi-microscopic interface displacement model 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.

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