Filling transitions on rough surfaces: Inadequacy of Gaussian surface models.

Dufour, Renaud; Semprebon, Ciro; Herminghaus, Stephan

doi:10.1103/PhysRevE.93.032802

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Filling transitions on rough surfaces: Inadequacy of Gaussian surface models.

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Dufour, Renaud
Group Granular matter and irreversibility, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Semprebon, Ciro
Group Theory of wet random assemblies, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Herminghaus, Stephan
Group Granular matter and irreversibility, Department of Dynamics of Complex Fluids, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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https://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.032802
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Dufour, R., Semprebon, C., & Herminghaus, S. (2016). Filling transitions on rough surfaces: Inadequacy of Gaussian surface models. Physical Review E, 93(3): 032802. doi:10.1103/PhysRevE.93.032802.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-35DC-6

Abstract

We present numerical studies of wetting on various topographic substrates, including random topographies. We find good agreement with recent predictions based on an analytical interface-displacement-type theory, except that we find critical end points within the physical parameter range. As predicted, Gaussian random surfaces are found to behave qualitatively different from non-Gaussian topographies. This shows that Gaussian random processes as models for rough surfaces must be used with great care, if at all, in the context of wetting phenomena.