Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Isochoric Specific Heat in the Dual Model of Liquids

Version 1 : Received: 31 October 2021 / Approved: 3 November 2021 / Online: 3 November 2021 (09:14:38 CET)

How to cite: Peluso, F. Isochoric Specific Heat in the Dual Model of Liquids. Preprints 2021, 2021110074 (doi: 10.20944/preprints202111.0074.v1). Peluso, F. Isochoric Specific Heat in the Dual Model of Liquids. Preprints 2021, 2021110074 (doi: 10.20944/preprints202111.0074.v1).

Abstract

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 function of the collective degrees of freedom available at a given temperature and analyzing its dependence on temperature. Two main tasks will be 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 will be compared with the analogous one obtained in another theoretical dual model of the liquid state, the Phonon Theory of Liquid Thermodynamics. This comparison will allow to get interesting insights about the number of collective degrees of freedom available in a liquid and on the value of the isobaric thermal expansion coefficient, two quantities that are related to each other in this framework.

Keywords

Liquid model; Phonons in liquids; Instantaneous Normal Modes; Mesoscopic model of liquids; Phonon – particle interaction; Specific heat

Subject

PHYSICAL SCIENCES, Condensed Matter Physics

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