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Relaxation of a moving contact line and the Landau-Levich effect

2000/06/30 by Ramin Golestanian, Élie Raphaël, Elie Raphael · 48 citations
Engineering · Mathematics · Physics and Astronomy · #Adhesion, Friction, and Surface Interactions #Condensed matter physics #Fluid Dynamics and Thin Films #Geometry #Line (geometry) #Materials science #Mathematics #Mechanics #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum mechanics #Relaxation (psychology) #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1209/epl/i2001-00607-5

published in Europhysics Letters (EPL) 55(2), 228-234 (Institute of Physics) · 4 pages, 3 ps figures

arxiv created 2000/06/30 · openalex publication_date 2001/07/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The dynamics of the deformations of a moving contact line is formulated. It is shown that an advancing contact line relaxes more quickly as compared to the equilibrium case, while for a receding contact line there is a corresponding slowing down. For a receding contact line on a heterogeneous solid surface, it is found that a roughening transition takes place which formally corresponds to the onset of leaving a Landau-Levich film. We propose a phase diagram for the system in which the phase boundaries corresponding to the roughening transition and the depinning transition meet at a junction point, and suggest that for sufficiently strong disorder a receding contact line will leave a Landau-Levich film immediately after depinning.

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