Macroscopic Observables, Thermodynamic Completeness and the Differentiability of Entropy

TL;DR

This paper establishes a quantum statistical framework for characterizing thermodynamic variables and analyzing the differentiability of entropy functions, contributing to the theoretical understanding of thermodynamic completeness.

Contribution

It introduces a quantum statistical basis for defining complete thermodynamic variables and examining entropy differentiability, advancing the theoretical foundation of thermodynamics.

Findings

Defines a quantum basis for thermodynamic variables

Characterizes conditions for entropy differentiability

Links thermodynamic completeness with quantum statistical properties

Abstract

We provide a quantum statistical basis for (a)a characterisation of a complete set of thermodynamic variables and (b) the differentiability of the entropy function of these variables