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Kelvin equation for bridging transitions
Alexandr Malijevský1, Martin Pospíšil2
1Research Group of Molecular and Mesoscopic Modelling, The Czech Academy of Sciences, Institute of Chemical Process Fundamentals, 165 02 Prague, Czech Republic and Department of Physical Chemistry, University of Chemical Technology, Prague, 166 28 Prague 6, Czech Republic.
Physical Review. E
|April 18, 2024
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.
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.
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