Heat capacity of dense liquids: A link between two-phase model and melting temperature scaling

TL;DR

This paper links the generalized Rosenfeld-Tarazona scaling of excess heat capacity in simple liquids to a two-phase model, showing that the scaling naturally arises from the scale invariance of the liquid's rigidity parameter.

Contribution

It reveals that the Rosenfeld-Tarazona scaling emerges from the two-phase model through the scale invariance of the rigidity parameter, connecting microscopic structure to thermodynamic scaling.

Findings

Scaling emerges from the two-phase model

Rigidity parameter exhibits scale invariance

Provides a theoretical basis for heat capacity scaling

Abstract

Generalized Rosenfeld-Tarazona scaling predicts the power-law dependence of the excess heat capacity of simple liquids on temperature. The two-phase model treats a liquid as a superposition of gas- and solid-like components whose relative abundance is quantified by a liquid rigidity parameter. We demonstrate here that the generalized Rosenfeld-Tarazona scaling emerges naturally in the two-phase model from the scale invariance of the liquid rigidity parameter.