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Complete wetting near an edge of a rectangular-shaped substrate.

Alexandr Malijevský1

  • 1Department of Physical Chemistry, Institute of Chemical Technology, Prague, 166 28 Praha 6, Czech Republic. Department of Aerosol Chemistry and Physics, ICPF, Academy of Sciences, 16502 Prague 6, Czech Republic.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|June 12, 2014
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Summary

Fluid adsorption near a solid substrate edge shows interface height remains finite. This study uses interfacial Hamiltonian theory and density functional theory (DFT) to analyze complete wetting phenomena.

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Area of Science:

  • Physical Chemistry
  • Surface Science
  • Fluid Dynamics

Background:

  • Fluid adsorption at solid surfaces is crucial in various physical and chemical processes.
  • Understanding the behavior of liquid-vapor interfaces near substrate edges is key to predicting adsorption phenomena.
  • Long-range dispersion forces significantly influence fluid-solid interactions.

Purpose of the Study:

  • To investigate fluid adsorption and interface behavior near a rectangular edge of a solid substrate.
  • To determine the critical exponent governing complete wetting at a substrate edge.
  • To analyze the influence of finite substrate dimensions on interface height.

Main Methods:

  • Utilizing interfacial Hamiltonian theory to model the system.
  • Employing fundamental measure density functional theory (DFT) for microscopic analysis.
  • Performing numerical solutions of DFT to validate theoretical predictions.

Main Results:

  • The local interface height above the edge remains finite at subcritical temperatures.
  • A power-law relationship was found for the interface height deviation from bulk coexistence: ℓ(E)(0)-ℓ(E)(δμ)∼δμ(β(CO)(E)).
  • The critical exponent β(CO)(E) was determined to be 2/3 for 3D systems with van der Waals forces.
  • For finite substrates of length L, interface height deviation follows δℓE(L) ∼ L(-1) for large L.

Conclusions:

  • The study provides a theoretical and numerical framework for understanding fluid adsorption at substrate edges.
  • The findings are crucial for applications involving thin films and surface phenomena.
  • The results highlight the importance of both long-range forces and substrate geometry in adsorption behavior.