Temperature-dependence of the subdivision potential in nanothermodynamics

Abstract

Nanothermodynamics is the thermodynamics of small systems, which are significantly 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 identified to be proportional to the difference between the thermal and von Neumann entropies, focusing on its temperaturedependence. As a result, it serves as a versatile tool to help analyze the origin of non-extensiveness in nanosystems.