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A phase-field model: Contact angle hysteresis driven by multistable surface composition.

Hongmin Zhang1, Shan Lyu2, Martin Reder3

  • 1Institute of Nanotechnology, Karlsruhe Institute of Technology, Hermann-von-Helmholtz Pl. 1, 76344, Eggenstein-Leopoldshafen, Germany.

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|January 8, 2026
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Summary
This summary is machine-generated.

This study introduces a new model for fluid-solid interactions, explaining contact angle hysteresis and stick-slip behavior using molecular-scale surface energy. It highlights the role of surface composition and diffusion in fluid dynamics.

Keywords:
Adsorption and depletion layersContact angle hysteresisDroplet frictionMultistable surface compositions

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Area of Science:

  • Physics
  • Materials Science
  • Chemical Engineering

Background:

  • Experimental data show density depletion at fluid-solid interfaces near hydrophobic substrates.
  • This suggests a heterogeneous and diffuse fluid-solid boundary.
  • Surface composition at the fluid-solid boundary may exist in multiple stable states.

Purpose of the Study:

  • To develop a model that accounts for multistable surface compositions.
  • To simulate static and dynamic contact angle hysteresis (CAH) on smooth substrates.
  • To investigate the origins of CAH and stick-slip behavior at the molecular level.

Main Methods:

  • Introduced a nonmonotonic wall free energy formulation.
  • Integrated this into a thermodynamically consistent phase-field model.
  • Allowed wall free energy relaxation for contact line motion via molecular diffusion.

Main Results:

  • Successfully reproduced multistable surface compositions and static CAH.
  • Captured dynamic CAH during droplet motion, including contact line pinning and advancing/receding states.
  • Observed emergent stick-slip behavior during droplet sliding with CAH.

Conclusions:

  • CAH and stick-slip behavior can arise solely from molecular-scale fluid-solid interactions.
  • Surface composition and interfacial diffusion are crucial factors, often missed in classical models.
  • The framework bridges thermodynamic and hydrodynamic views, offering insights into slip and friction at interfaces, relevant for microfluidics.