Chemo-capillary instabilities of a contact line

Details Chemo-capillary instabilities of a contact line Chemo-capillary instabilities of a contact line

2010-06-05

arxiv.org/abs/1006.1052v1

Phys. Rev. E 81, 026307 (2010)

Physics

Fluid Dynamics

8 pages, 4 figures; corrected version of the published paper

Scientific paper

Equilibrium and motion of a contact line are viewed as analogs of phase equilibrium and motion of an interphase boundary. This point of view makes evident the tendency to minimization of the length of the contact line at equilibrium. The concept of line tension is, however, of limited applicability, in view of a qualitatively different relaxation response of the contact line, compared to a two-dimensional curve. Both the analogy and qualitative distinction extend to a non-equilibrium situation arising due to coupling with reversible substrate modification. Under these conditions, the contact line may suffer a variety of chemo-capillary instabilities (fingering, traveling and oscillatory), similar to those of dissipative structures in nonlinear non-equilibrium systems. The preference order of the various instabilities changes, however, significantly due to a different way the interfacial curvature is relaxed.

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