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Related papers: Van-der-Waals supercritical fluid: Exact formulas …

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In the present paper we propose the van der Waals-like model, which allows a purely analytical study of fluid properties including the equation of state, phase behavior and supercritical fluctuations. We take a square-well system as an…

Soft Condensed Matter · Physics 2015-06-18 V. V. Brazhkin , Yu. D. Fomin , V. N. Ryzhov , E. E. Tareyeva , E. N. Tsiok

The equations for Widom lines for the supercritical van der Waals fluid were considered in the paper J. Chem. Phys. 135, 084503 (2011). But the equations for the speed of sound and its special Widom line were incorrect. The correct…

Statistical Mechanics · Physics 2018-12-04 I. H. Umirzakov

We have performed extensive molecular dynamics simulations to study noise power spectra of density and potential energy fluctuations of a Lennard-Jones model of a fluid in the supercritical region. Emanating from the liquid-vapor critical…

Statistical Mechanics · Physics 2015-06-03 Sungho Han , Clare C. Yu

Supercritical fluids near the critical point are characterized by liquid-like densities and gas-like transport properties. These features are purposely exploited in different contexts ranging from natural products extraction/fractionation…

Fluid Dynamics · Physics 2014-05-21 Francesco Battista , Francesco Picano , Carlo Massimo Casciola

In this work the interface system of the van der Waals fluid is investigated by using the density gradient theory incorporated with the mean-field theory. Based on the mean-field dividing interface generated by the Maxwell construction, we…

Soft Condensed Matter · Physics 2023-03-22 Hongqin Liu

The celebrated van der Waals model describes simple fluids in the thermodynamic limit and predicts the existence of a critical point associated to the gas-liquid phase transition. However the behaviour of critical isotherms according to the…

Statistical Mechanics · Physics 2015-05-04 Adriano Barra , Antonio Moro

We investigate a quite strong turbulence in a supercritical fluid near a gas-liquid critical point. Specifically, we consider a case in which the Kolmogorov scale is much smaller than the equilibrium correlation length $\xi$. Although…

Fluid Dynamics · Physics 2021-08-04 Tomohiro Tanogami , Shin-ichi Sasa

The van der Waals interaction is implemented in a Hadron Resonance Gas model. It is shown that this model can describe Lattice QCD data of different thermodynamical quantities satisfactorily with the van der Waals parameters $a = 1250 \pm…

High Energy Physics - Phenomenology · Physics 2018-01-16 Subhasis Samanta , Bedangadas Mohanty

Isothermal interfacial zones are investigated starting from a local energy which can be considered as the sum of two terms: one corresponding to a medium with a uniform composition equal to the local one and a second one associated with the…

Mathematical Physics · Physics 2008-12-18 Henri Gouin

We find a thermodynamic description of gas-liquid criticality that is different from van der Waals and mean-field theories. At the critical temperature there is no critical point; a liquid phase coexists with a vapor phase with densities…

Statistical Mechanics · Physics 2012-07-13 Leslie V. Woodcock

In the study of fluid phases, the Ruppeiner geometry provides novel ways for constructing the phase boundaries (known as the $R$-crossing method) and the Widom line, which is considered by many to be the continuation of the coexistence…

Statistical Mechanics · Physics 2022-11-30 Karlo de Leon , Ian Vega

The square-well fluid with hard-sphere diameters is studied within the framework of Thermodynamic Geometry (TG). Coexistence and spinodal curves, as well as the Widom line for ranges $\lambda^{*} = 1.25, 1.5, 2.0, 3.0$ for this fluid are…

Statistical Mechanics · Physics 2022-07-19 J. L. López-Picón , L. F. Escamilla-Herrera , J. Torres-Arenas

We obtain families of generalised van der Waals equations characterised by an even number $n=2,4,6$ and a continuous free parameter which is tunable for a critical compressibility factor. Each equation features two adjacent critical points…

Chemical Physics · Physics 2022-08-25 Jihwan Kim , Do-Hyun Kim , Jeong-Hyuck Park

The nuclear liquid-gas transition at normal nuclear densities, $n \sim n_0 = 0.16$ fm$^{-3}$, and small temperatures, $T \sim 20$ MeV, has a large influence on analytic properties of the QCD grand-canonical thermodynamic potential. A…

High Energy Physics - Phenomenology · Physics 2020-03-25 Oleh Savchuk , Volodymyr Vovchenko , Roman V. Poberezhnyuk , Mark I. Gorenstein , Horst Stoecker

Gravity-driven convection of fluid at parameters near its thermodynamic critical point inside a porous layer heated from below (Rayleigh-Darcy convection) is studied. The fluid having the temperature slightly above the critical one is…

Fluid Dynamics · Physics 2010-01-26 E. B. Soboleva

We study thermo-mechanical properties of matter at extreme conditions deep in the supercritical state, at temperatures exceeding the critical one up to four orders of magnitude. We calculate the Gr\"{u}neisen parameter {\gamma} and find…

Soft Condensed Matter · Physics 2017-07-10 L. Wang , M. T. Dove , K. Trachenko , Yu. D. Fomin , V. V. Brazhkin

The dimensionless value of critical compressibility factor in the van der Waals theory of gas-liquid critical point is a universal constant, $Z_\text{c} = 0.375$. Experimentally measured values of this quantity for simple fluids are…

Soft Condensed Matter · Physics 2020-03-05 O. Bakai

It is shown that the existence of single critical point of the fluid described by van der Waals equation of state is not the hypothesis and it is the consequence of the thermodynamic conditions of liquid-vapor phase equilibrium. It is also…

Statistical Mechanics · Physics 2017-12-06 Ikhtier H. Umirzakov

The thermodynamic behavior of a fluid near a vapor-liquid and, hence, asymmetric critical point is discussed within a general ``complete'' scaling theory incorporating pressure mixing in the nonlinear scaling fields as well as corrections…

Statistical Mechanics · Physics 2009-11-07 Young C. Kim , Michael E. Fisher , G. Orkoulas

We investigate phase separation of near-critical binary mixtures between parallel symmetric walls in the strong adsorption regime. We take into account the renormalization effect due to the critical fluctuations using the recent local…

Soft Condensed Matter · Physics 2013-08-21 Shunsuke Yabunaka , Ryuichi Okamoto , Akira Onuki
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