Temperature-dependence of the subdivision potential in nanothermodynamics

TL;DR

This paper investigates how the subdivision potential in nanothermodynamics varies with temperature, linking it to entropy differences, and providing a new tool to analyze non-extensiveness in nanosystems.

Contribution

It establishes a quantum thermodynamic integration of the subdivision potential, revealing its proportionality to entropy differences and its temperature dependence.

Findings

Subdivision potential is proportional to the difference between thermal and von Neumann entropies.

Temperature influences the subdivision potential, affecting non-extensiveness in nanosystems.

Provides a new analytical tool for studying thermodynamic properties of small systems.

Abstract

Nanothermodynamics is the thermodynamics of small systems, which are signifcantly affected by their surrounding environments. In nanothermodynamics, Hill introduced the concept of subdivision potential, which charaterizes the non-extensiveness. In this work, we establish the quantum thermodynamic integration of the subdivision potential, which is identifed to be proportional to the difference between the thermal and von Neumann entropies, focusing on its temperature-dependence. As a result, it serves as a versatile tool to help analyze the origin of non-extensiveness in nanosystems.