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Kelvin equation for bridging transitions.

Alexandr Malijevský1, Martin Pospíšil2

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Summary

Bridging transitions between nonplanar surfaces are modeled using a generalized Kelvin equation. This approach accurately predicts the growth of bridging films and critical exponents for various geometries, confirmed by density functional theory.

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Area of Science:

  • Physics
  • Physical Chemistry
  • Surface Science

Background:

  • Understanding liquid film behavior between surfaces is crucial in various scientific and industrial applications.
  • Nonplanar geometries present unique challenges for modeling fluid interfaces and transitions.

Purpose of the Study:

  • To develop a theoretical framework for analyzing bridging transitions between nonplanar surfaces.
  • To investigate the asymptotic behavior and critical exponents of bridging film growth during wall flattening.

Main Methods:

  • A generalized Kelvin equation is derived by mapping the system to a finite-length slit.
  • The model is applied to analyze the growth dynamics of bridging films.
  • Microscopic (classical) density functional theory is used for numerical validation.

Main Results:

  • The generalized Kelvin equation successfully describes bridging transitions.
  • Power-law divergence characterizes bridging film growth with geometry-dependent critical exponents.
  • A covariance law relating geometric and Young's contact angles is presented for linear-wedge models.

Conclusions:

  • The proposed theoretical model provides a robust method for studying nonplanar surface interactions.
  • The findings offer insights into the fundamental physics of thin film phenomena in complex geometries.
  • The results are validated by advanced computational methods, confirming their accuracy.