Isochoric Specific Heat in the Dual Model of Liquids

• Published in: Liquids
• Main Author: Fabio Peluso
• Format: Text
• Language: English
• Published: Multidisciplinary Digital Publishing Institute 2021
• Subjects: liquid model; phonons in liquids; instantaneous normal modes; mesoscopic model of liquids; phonon–particle interaction; specific heat; DML
• Online Access: https://doi.org/10.3390/liquids1010007

We continue in this paper to illustrate the implications of the dual model of liquids (DML) by deriving the expression for the isochoric specific heat as a function of the collective degree of freedom available at a given temperature and analyzing its dependence on temperature. Two main tasks have been accomplished. First, we show that the expression obtained for the isochoric specific heat in the DML is in line with the experimental results. Second, the expression has been compared with the analogous one obtained in another theoretical dual model of the liquid state, the phonon theory of liquid thermodynamics. This comparison allows providing interesting insights about the number of collective degrees of freedom available in a liquid and the value of the isobaric thermal expansion coefficient, two quantities that are related to each other in this framework.