scholarly journals Isochoric Specific Heat in the Dual Model of Liquids

Liquids ◽  
2021 ◽  
Vol 1 (1) ◽  
pp. 77-95
Author(s):  
Fabio Peluso
Keyword(s):  
Thermal Expansion ◽  
Specific Heat ◽  
Thermal Expansion Coefficient ◽  
Liquid State ◽  
Degrees Of Freedom ◽  
Dual Model ◽  
Isobaric Thermal Expansion ◽  
Collective Degree ◽  
Isobaric Thermal Expansion Coefficient ◽  
Phonon Theory

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.

scholarly journals Isochoric Specific Heat in the Dual Model of Liquids

2021 ◽  
Author(s):  
Fabio Peluso
Keyword(s):  
Thermal Expansion ◽  
Specific Heat ◽  
Thermal Expansion Coefficient ◽  
Expansion Coefficient ◽  
Liquid State ◽  
Degrees Of Freedom ◽  
Dual Model ◽  
Isobaric Thermal Expansion ◽  
Isobaric Thermal Expansion Coefficient ◽  
Phonon Theory

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.

Thermodynamic properties of 1,1,1,2-tetrafluoroethane + polyether mixtures up to 60 MPa

2004 ◽  
Vol 82 (8) ◽  
pp. 1271-1279 ◽  
Author(s):  
M JP Comuñas ◽  
C Boned ◽  
A Baylaucq ◽  
E R López ◽  
J Fernández
Keyword(s):  
Thermal Expansion ◽  
Thermodynamic Properties ◽  
Internal Pressure ◽  
Thermal Expansion Coefficient ◽  
Dimethyl Ether ◽  
Expansion Coefficient ◽  
Isothermal Compressibility ◽  
Isobaric Thermal Expansion ◽  
Hfc 134A ◽  
Isobaric Thermal Expansion Coefficient

In this work we report several derived thermodynamic properties, the isothermal compressibility (κT), the isobaric thermal expansion coefficient (αp), and the internal pressure (π), and their excess functions (κTE, αpE, and πE) for the refrigerant + lubricant mixtures HFC-134a + triethylene glycol dimethyl ether and HFC-134a + tetraethylene glycol dimethyl ether. These properties have been determined in wide temperature (293.15–373.15 K) and pressure (10–60 MPa) ranges in an effort to better understand the behaviour of these kinds of mixtures and their thermophysical properties as functions of temperature, pressure, and composition. The analysis of the thermodynamic excess properties (negative values for κTE and αpE, positive values for πE) for both systems shows a high degree of interaction between the refrigerant and the synthetic lubricant molecules. Key words: HFC-134a, high pressure, internal pressure, isobaric thermal expansion coefficient, isothermal compressibility, polyglycol ethers, refrigerant–lubricant mixtures.

scholarly journals Isochoric specific heat in the Dual Model of Liquids and comparison with the Phonon theory of Liquid Thermodynamics

2021 ◽  
Author(s):  
Fabio Peluso
Keyword(s):  
Specific Heat ◽  
Degrees Of Freedom ◽  
High Energy ◽  
Dual Model ◽  
Mesoscopic Level ◽  
Energy And Momentum ◽  
Analogous Expression ◽  
High Energy Scattering ◽  
Limiting Values ◽  
Phonon Theory

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 a function of the collective degrees of freedom available at a given temperature and comparing it with the analogous expression obtained in the Phonon Theory of Liquid Thermodynamics. The Dual Model of Liquids has been recently proposed as a model describing the dynamics of liquids at the mesoscopic level. Bringing together the early pictures of Brillouin and Frenkel and the recent experimental outcomes obtained by means of high energy scattering, liquids are considered in the DML as constituted by a population of wave packets, responsible for the propagation of elastic and thermal perturbations, and of dynamic aggregates of molecules, in continuous re-arrangement, diving in an ocean of amorphous, disordered liquid. The collective degrees of freedom contribute to the exchange of energy and momentum between the material particles and the lattice particles, which the liquids are supposed to be composed of in the DML.First, we show that the expression obtained for the specific heat in the DML is in line with the experimental results. Second, its comparison with that of the Phonon Theory of Liquid Thermodynamics allows getting interesting insights about the limiting values of the collective degrees of freedom and on that of the isobaric thermal expansion coefficient, two quantities that appear related to each other in this framework

Investigation of the Thermodynamic Properties of Anharmonic Crystals with Defects and Influence of Anharmonicity in Exafs by the Moment Method

1998 ◽  
Vol 12 (02) ◽  
pp. 191-205 ◽  
Author(s):  
Vu Van Hung ◽  
Nguyen Thanh Hai
Keyword(s):  
Thermal Expansion ◽  
Thermodynamic Properties ◽  
Phase Change ◽  
Specific Heat ◽  
Thermal Expansion Coefficient ◽  
Expansion Coefficient ◽  
Moment Method ◽  
Adiabatic Compressibility ◽  
Relative Displacement ◽  
The Moment

By the moment method established previously on the basis of the statistical mechanics, the thermodynamic properties of a strongly anharmonic face-centered and body-centered cubic crystal with point defect are considered. The thermal expansion coefficient, the specific heat Cv and Cp, the isothermal and adiabatic compressibility, etc. are calculated. Our calculated results of the thermal expansion coefficient, the specific heat Cv and Cp… of W, Nb, Au and Ag metals at various temperatures agrees well with the measured values. The anharmonic effects in extended X-ray absorption fine structure (EXAFS) in the single-shell model are considered. We have obtained a new formula for anharmonic contribution to the mean square relative displacement. The anharmonicity is proportional to the temperature and enters the phase change of EXAFS. Our calculated results of Debye–Waller factor and phase change in EXAFS of Cu at various temperatures agrees well with the measured values.

scholarly journals First-principles study on the electrical and thermal properties of the semiconducting Sc3(CN)F2 MXene

RSC Advances ◽  
2018 ◽  
Vol 8 (40) ◽  
pp. 22452-22459 ◽  
Author(s):  
Kan Luo ◽  
Xian-Hu Zha ◽  
Yuhong Zhou ◽  
Zhansheng Guo ◽  
Cheng-Te Lin ◽  
...  
Keyword(s):  
Thermal Expansion ◽  
Thermal Properties ◽  
Dft Calculations ◽  
Specific Heat ◽  
Thermal Expansion Coefficient ◽  
First Principles ◽  
Two Dimensional ◽  
Nanoelectronic Devices ◽  
Low Thermal Expansion ◽  
High Carrier

The two-dimensional semiconducting Sc3(CN)F2 MXene presents relatively high carrier mobilities, specific heat and low thermal expansion coefficient from DFT calculations, and produces a good application prospect for nanoelectronic devices.

Specific Heat and Thermal Expansion Coefficient of Al

1985 ◽  
Vol 130 (1) ◽  
pp. K11-K14 ◽  
Author(s):  
T. Soma ◽  
S. Nehashi ◽  
H.-Matsuo Kagaya
Keyword(s):  
Thermal Expansion ◽  
Specific Heat ◽  
Thermal Expansion Coefficient ◽  
Expansion Coefficient

Theoretical prediction of structural stability, electronic and elastic properties of ZrSi2 under pressure

RSC Advances ◽  
2015 ◽  
Vol 5 (46) ◽  
pp. 36779-36786 ◽  
Author(s):  
Ruru Hao ◽  
Xinyu Zhang ◽  
Jiaqian Qin ◽  
Suhong Zhang ◽  
Jinliang Ning ◽  
...  
Keyword(s):  
Thermal Expansion ◽  
Theoretical Prediction ◽  
Density Distribution ◽  
Charge Density ◽  
Specific Heat ◽  
Thermal Expansion Coefficient ◽  
Elastic Constants ◽  
Thermodynamic Data ◽  
Charge Density Distribution ◽  
Different Temperatures

The elastic constants, DOS, charge density distribution and the fundamental thermodynamic data such as the specific heat, thermal expansion coefficient and Debye temperature under different temperatures and pressures are theoretically determined.

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