Hill's nano-thermodynamics is equivalent with Gibbs' thermodynamics for curved surfaces

TL;DR

This paper demonstrates that Hill's nano-thermodynamics is equivalent to Gibbs' thermodynamics for curved surfaces, simplifying nano-scale surface analysis and enabling systematic study of non-equilibrium systems.

Contribution

It proves the equivalence between Hill's nano-thermodynamics and Gibbs' thermodynamics for curved surfaces, a novel insight that streamlines nano-scale surface studies.

Findings

Hill's thermodynamics is equivalent to Gibbs' for curved surfaces

Simplifies analysis of nano-scale curved surfaces

Enables systematic study of non-equilibrium systems

Abstract

We review first how properties of curved surfaces can be studied using Hill's thermodynamics, also called nano-thermodynamics. We proceed to show for the first time that Hill's analysis is equivalent to Gibbs for curved surfaces. This simplifies the study of surfaces that are curved on the nano-scale, and opens up a possibility to study non-equilibrium systems in a systematic manner.