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Nanodrop on a smooth solid surface with hidden roughness. Density functional theory considerations.

Gersh O Berim1, Eli Ruckenstein

  • 1Department of Chemical and Biological Engineering, State University of New York at Buffalo, Buffalo, New York 14260, USA. feaeliru@buffalo.edu.

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|April 10, 2015
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Summary
This summary is machine-generated.

Hidden roughness on solid surfaces significantly impacts nanodrop behavior, similar to physical or chemical roughness. This study uses density functional theory (DFT) to analyze nanodrop contact angles and critical sticking forces.

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Area of Science:

  • Surface Science
  • Nanotechnology
  • Physical Chemistry

Background:

  • Understanding nanodrop behavior on surfaces is crucial for various applications.
  • Surface roughness, typically physical or chemical, influences fluid behavior.
  • The effect of 'hidden roughness' (nonuniform density beneath a smooth surface) is less understood.

Purpose of the Study:

  • To investigate the influence of hidden roughness on nanodrop properties.
  • To determine how external forces affect nanodrop contact angles and stability.
  • To establish a critical sticking force for nanodrops and relate it to drop size and surface properties.

Main Methods:

  • Utilizing density functional theory (DFT) to model nanodrop-surface interactions.
  • Analyzing nanodrop profiles and contact angles under an external parallel force.
  • Solving Euler-Lagrange equations derived from DFT to find equilibrium solutions.

Main Results:

  • Contact angles were determined as functions of nanodrop size and applied force.
  • A critical sticking force was identified, dependent on nanodrop size and interaction potential.
  • No stable nanodrop solutions were found beyond a critical external force threshold.

Conclusions:

  • Hidden roughness exerts an effect on nanodrop characteristics comparable to conventional roughness.
  • The study provides a theoretical framework for understanding nanodrop behavior on complex surfaces.
  • Results offer insights for estimating surface inclination limits for macroscopic drops.