Saddle-splay modulus of a particle-laden fluid interface

TL;DR

This paper develops a theoretical approach to quantify the saddle-splay modulus of a particle-laden fluid interface, highlighting the significant impact of thermal motion of particles on interface properties.

Contribution

It introduces a scaled-particle theory-based equation of state for hard disks on curved surfaces to evaluate the saddle-splay modulus of particle-laden interfaces.

Findings

Thermal motion of particles significantly influences saddle-splay modulus.

The contribution from particles is comparable to that of simple fluid interfaces.

The theory provides a quantitative tool for interface property analysis.

Abstract

The scaled-particle theory equation of state for the two-dimensional hard-disk fluid on a curved surface is proposed and used to determine the saddle-splay modulus of a particle-laden fluid interface. The resulting contribution to saddle-splay modulus, which is caused by thermal motion of the adsorbed particles, is comparable in magnitude with the saddle-splay modulus of a simple fluid interface.