Nanoscale deformation of a liquid surface

Area of Science:

• Physics
• Fluid Dynamics
• Surface Science

Background:

• Understanding particle-liquid interactions is crucial in various scientific fields.
• Capillarity plays a significant role in phenomena involving interfaces.

Purpose of the Study:

• To investigate the nonlinear dynamics of liquid interface deformation caused by a solid particle.
• To establish relationships between physical parameters governing particle-interface interactions.
• To predict critical distances for capillary-induced jump-to-contact events.

Main Methods:

• Developed a semianalytical solution for the nonlinear interface deformation equation.
• Analyzed the bifurcation behavior of apex deformation with varying particle distance.
• Derived the relationship between apex curvature and deformation.
• Calculated the threshold distance for capillary jump-to-contact.
• Modeled the original interface position and attraction forces.

Main Results:

• Identified a bifurcation in apex deformation as a function of particle distance.
• Demonstrated a power-law dependency of apex curvature on deformation.
• Determined the critical distance for capillary-induced jump-to-contact.
• Provided predictions for interface position and attraction forces.
• Validated findings against atomic force microscopy experimental data.

Conclusions:

• The study provides a theoretical framework for understanding particle-liquid interface dynamics.
• The findings offer insights into capillary forces and jump-to-contact phenomena.
• The agreement with experimental results validates the semianalytical approach.