Article
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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)
A peer-reviewed article of this Preprint also exists.
Peluso, F. Isochoric Specific Heat in the Dual Model of Liquids. Liquids 2021, 1, 77-95. Peluso, F. Isochoric Specific Heat in the Dual Model of Liquids. Liquids 2021, 1, 77-95.
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
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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