Pinning of a solid--liquid--vapour interface by stripes of obstacles

Details Pinning of a solid--liquid--vapour interface by stripes of obstacles Pinning of a solid--liquid--vapour interface by stripes of obstacles

1995-10-19

arxiv.org/abs/cond-mat/9510110v1

Physics

Condensed Matter

Plain tex, 12 pages, 3 figures available upon request

Scientific paper

10.1103/PhysRevE.53.5006

We use a macroscopic Hamiltonian approach to study the pinning of a solid--liquid--vapour contact line on an array of equidistant stripes of obstacles perpendicular to the liquid. We propose an estimate of the density of pinning stripes for which collective pinning of the contact line happens. This estimate is shown to be in good agreement with Langevin equation simulation of the macroscopic Hamiltonian. Finally we introduce a 2--dimensional mean field theory which for small strength of the pinning stripes and for small capillary length gives an excellent description of the averaged height of the contact line.

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