Thermodynamic consistency of energy and virial routes: An exact proof within the linearized Debye-H\"uckel theory

TL;DR

This paper proves that within the linearized Debye-Hückel theory, the energy and virial routes are thermodynamically consistent for any potential and dimensionality, highlighting its significance especially for bounded potentials.

Contribution

It provides an exact proof of thermodynamic consistency between energy and virial routes in the linearized Debye-Hückel theory for all potentials and dimensions.

Findings

Energy and virial routes are thermodynamically consistent in the theory.

The proof applies to any potential and dimensionality.

Highlights importance for bounded potentials.

Abstract

The linearized Debye-H\"uckel theory for liquid state is shown to provide thermodynamically consistent virial and energy routes for any potential and for any dimensionality. The importance of this result for bounded potentials is discussed.