Residual stability of sessile droplets with negative line tension.

Phys Rev E Stat Nonlin Soft Matter Phys

Dipartimento di Matematica, Università di Firenze, Viale Morgagni 67a, 50134 Firenze, Italy.

Published: February 2006

AI Article Synopsis

  • The study focuses on the local stability of a droplet at equilibrium, where these droplets have a nonvanishing line tension at the contact line with three phases involved.
  • The research supports Widom's findings about droplets with positive line tension being stable under various perturbations, enhancing our understanding of droplet behavior.
  • However, it reveals that for negative line tension, the previous methods failed to predict instabilities, leading to the introduction of a new concept called residual stability to better assess when droplets with negative line tension are likely to maintain equilibrium.

Article Abstract

We study the local stability of a sessile droplet with nonvanishing line tension along the contact line, where three phases are in equilibrium. We confirm Widom's results [J. Phys. Chem. 99, 2803 (1995)] on the local stability of a droplet with positive line tension in a larger class of perturbations. When the line tension is negative, we prove that the restricted class of perturbations employed by Widom fails to capture the instability of equilibria. A notion of residual stability is introduced, which makes quantitative the condition under which equilibrium of droplets with negative line tension are likely to be observed.

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Source
http://dx.doi.org/10.1103/PhysRevE.73.021602DOI Listing

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