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An alternative approach to the phonon theory of liquids: An analytical study of Frenkel frequency and heat capacity as a function of pressure and temperature
M. Y. Esmer, Bahtiyar A. Mamedov
https://arxiv.org/abs/2507.03484

An alternative approach to the phonon theory of liquids: An analytical study of Frenkel frequency and heat capacity as a function of pressure and temperature
Based on the Maxwell relationship and experimental viscosity data, the phonon theory of liquids can provide a temperature-dependent description of liquid heat capacity that is consistent with experimental data. However, since liquid heat capacity also varies with pressure, we present an alternative approach that can be used to calculate the Frenkel frequency in terms of temperature and pressure by applying the concept of chemical potential under the assumption of a diffusive equilibrium. Using …

An alternative approach to the phonon theory of liquids: Evolution of the energy of diffusion
M. Y. Esmer, Bahtiyar A. Mamedov
https://arxiv.org/abs/2507.02121

An alternative approach to the phonon theory of liquids: Evolution of the energy of diffusion
With regard to the three basic states of matter (solid, liquid, gas), the calculation of the heat capacity of liquids in a general form has been considered one of the deepest and most interesting challenges in condensed matter physics, due to the strong, system-specific interactions involved. Notwithstanding the theoretical difficulties, there have recently been significant advances in our understanding of liquids, and the phonon theory of liquids has been proposed. However, this theory uses th…