Absence of logarithmic attraction between colloids trapped at the interface of droplets

TL;DR

This paper corrects previous mathematical errors and demonstrates that there is no logarithmic attraction between colloids at droplet interfaces, challenging earlier claims of such interactions.

Contribution

It provides a corrected mathematical analysis showing the absence of logarithmic attraction between colloids at droplet interfaces.

Findings

No logarithmic interfacial deformation found

Previous claims of attraction are invalidated

Mathematical errors in earlier work are corrected

Abstract

We pinpoint and correct several mathematical errors in EPL 75(2006)978. As a consequence, we conclude that there is no logarithmically varying interfacial deformation, contrary to the claim in the EPL.