A general model for isochoric heat capacity of matter in different states by introducing thermodynamic dimension concept

Ghandili, Ali; Moeini, Vahid

doi:10.1016/j.fluid.2021.113355

Cited by 7 publications

(2 citation statements)

References 70 publications

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“…The phonon theory of liquids has also been widely utilized as a theoretical framework in applied and fundamental research, such as nanofluidics, supercritical fluids technologies, confined liquids, heat transfer and thermal conductivity, solid/liquid interfaces, and planetary science, − to name a few. For instance, it was demonstrated that in gas giants such as Jupiter and Saturn, supercritical hydrogen has a crossover in all its major thermodynamic properties at approximately 10 GPa and 3000 K. As a result, determination of the Frenkel line in supercritical H 2 enabled a demarcation of the boundary between interior and atmosphere in gas giants .…”

Section: Mind the Phonon Gapsmentioning

confidence: 99%

The Phonon Theory of Liquids and Biological Fluids: Developments and Applications

Bolmatov

2022

J. Phys. Chem. Lett.

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Among the three basic states of matter (solid, liquid, and gas), the liquid state has always eluded general theoretical approaches for describing liquid energy and heat capacity. In this Viewpoint, we derive the phonon theory of liquids and biological fluids stemming from Frenkel’s microscopic picture of the liquid state. Specifically, the theory predicts the existence of phonon gaps in vibrational spectra of liquids and a thermodynamic boundary in the supercritical state. Direct experimental evidence reaffirming these theoretical predictions was achieved through a combination of techniques using static compression X-ray diffraction and inelastic X-ray scattering on deeply supercritical argon in a diamond anvil cell. Furthermore, these findings inspired and then led to the discovery of phonon gaps in liquid crystals (mesogens), block copolymers, and biological membranes. Importantly, phonon gaps define viscoelastic crossovers in cellular membranes responsible for lipid self-diffusion, lateral molecular-level stress propagation, and passive transmembrane transport of small molecules and solutes. Finally, molecular interactions mediated by external stimuli result in synaptic activity controlling biological membranes’ plasticity resulting in learning and memory. Therefore, we also discuss learning and memory effectsequally important for neuroscience as well as for the development of neuromorphic devicesfacilitated in biological membranes by external stimuli.

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Section: Mind the Phonon Gapsmentioning

confidence: 99%

The Phonon Theory of Liquids and Biological Fluids: Developments and Applications

Bolmatov

2022

J. Phys. Chem. Lett.

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“…In a recently published paper [100] Ghandili et al make use of the Maxwell-Boltzmann distribution function and consider the Frenkel's theory of liquids, approaching a substance as a fractal lattice. They introduce a new concept of thermodynamic dimension D T to generalize both Einstein and Debye models so that both models are a special case of the general model (D T = 3).…”

Section:   mentioning

confidence: 99%

Mesoscopic Collective Dynamics in Liquids and the Dual Model

Peluso¹

2022

Journal of Heat Transfer

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A microscopic vision is presented of a Dual Model of Liquids starting from a solid picture. The task is accomplished firstly by showing how a series of experimental evidences and theoretical developments, gathered for the first time, can be framed in a mesoscopic view of liquids, hypothesized as constituted by a population of dynamic aggregates of molecules diving in an ocean of amorphous liquid. The pseudo-crystals interact with the rest of the liquid through harmonic waves and anharmonic wavepackets propagating within and among the structures. The interaction term is derived from "first principles"; its anharmonic character allows the exchange of energy and momentum between the wave packets and the molecule' clusters, determining the displacement of the latter within the medium and the redistribution of the energy between external degrees of freedom (DoF) and internal collective degrees. Among the novelties is that it allows calculating various thermophysical quantities by introducing the statistical number of excited DoF. In this way, the problem is bypassed of other dual models which are sometimes unable to correctly reproduce those thermophysical quantities showing deviations due to the activation/deactivation of internal DoF. The interpretation of the relaxation times is given, their Order-of-Magnitude calculated and compared with experimental data. A comparison is provided with results obtained in the frame of the Phonon theory of Liquid Thermodynamics, as well with systems exhibiting k-gap.In the last part of the paper theoretical insights and experiments are suggested as potential directions for future research and developments.

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Molecular cages in supercritical fluids at high pressures

Ghandili¹,

Moeini

2022

Fluid Phase Equilibria

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A general model for isochoric heat capacity of matter in different states by introducing thermodynamic dimension concept

Cited by 7 publications

References 70 publications

The Phonon Theory of Liquids and Biological Fluids: Developments and Applications

The Phonon Theory of Liquids and Biological Fluids: Developments and Applications

Mesoscopic Collective Dynamics in Liquids and the Dual Model

Molecular cages in supercritical fluids at high pressures

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