Non-equilibrium interface equations: An application to thermo-capillary motion in binary systems

TL;DR

This paper derives interface equations for non-equilibrium binary systems and applies them to analyze thermo-capillary motion of droplets, highlighting mesoscopic effects and validating results with simulations.

Contribution

It introduces novel non-equilibrium interface equations derived from mesoscopic models for binary systems under thermal gradients.

Findings

Mesoscopic chemical potential shift affects droplet motion.

Derived equations successfully describe thermo-capillary motion.

Results agree with numerical simulations.

Abstract

Interface equations are derived for both binary diffusive and binary fluid systems subjected to non-equilibrium conditions, starting from the coarse-grained (mesoscopic) models. The equations are used to describe thermo-capillary motion of a droplet in both purely diffusive and fluid cases, and the results are compared with numerical simulations. A mesoscopic chemical potential shift, owing to the temperature gradient, and associated mesoscopic corrections involved in droplet motion are elucidated.