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A new closed virial equation of state of hard-sphere fluids is proposed which reproduces the calculated or estimated values of the first sixteen virial coefficients at the same time as giving very good accuracy when compared with computer…

Chemical Physics · Physics 2016-07-14 Jianxiang Tian , Yuanxing Gui , Angel Mulero

The paper analyzes a general case of an equation of state, which is an analytical function at the critical point of the liquid-vapor first order phase transition of pure substance. It is shown that the equality to zero of the first- and…

Other Condensed Matter · Physics 2017-02-09 Ikhtier H. Umirzakov

The vapor-liquid critical behavior of intrinsically asymmetric fluids is studied in finite systems of linear dimensions, $L$, focusing on periodic boundary conditions, as appropriate for simulations. The recently propounded ``complete''…

Statistical Mechanics · Physics 2009-11-10 Young C. Kim , Michael E. Fisher

The entropy of strongly coupled Yukawa fluids is discussed from several perspectives. First, it is demonstrated that a vibrational paradigm of atomic dynamics in dense fluids can be used to obtain a simple and accurate estimate of the…

Soft Condensed Matter · Physics 2024-09-18 Sergey Khrapak

The phase behavior of fluids near weakly attractive substrates is studied by computer simulations of the coexistence curve of a Lennard-Jones (LJ) fluid confined in a slitlike pore. The temperature dependence of the density profiles of the…

Statistical Mechanics · Physics 2009-11-10 I. Brovchenko , A. Geiger , A. Oleinikova

Current knowledge of the finite-density QCD equation of state from first principles is limited to a Taylor expansion in the baryonic chemical potential around $\mu_B=0$. By means of a scaling form for the equation of state of the 3D Ising…

High Energy Physics - Phenomenology · Physics 2019-02-20 Paolo Parotto

Phase separation and criticality are analyzed in $z$:1 charge-asymmetric ionic fluids of equisized hard spheres by generalizing the Debye-H\"{u}ckel approach combined with ionic association, cluster solvation by charged ions, and hard-core…

Statistical Mechanics · Physics 2009-11-10 Jean-Noel Aqua , Shubho Banerjee , Michael E. Fisher

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

The properties of a fluid, or Ising magnet, confined in a $L \times \infty$ geometry with opposing surface fields at the walls are studied by density matrix renormalization techniques. In particular we focus on the effect of gravity on the…

Statistical Mechanics · Physics 2009-10-30 Enrico Carlon , Andrzej Drzewinski

A thermodynamically self-consistent Ornstein-Zernike approximation (SCOZA) is applied to a fluid of spherical particles with a pair potential given by a hard-core repulsion and a Yukawa attractive tail $w(r)=-\exp [-z(r-1)]/r$. This…

Statistical Mechanics · Physics 2009-10-31 D. Pini , G. Stell , N. B. Wilding

A pure fluid at its critical point shows a dramatic slow-down in its dynamics, due to a divergence of the order-parameter susceptibility and the coefficient of heat transport. Under isothermal conditions, however, sound waves provide the…

Statistical Mechanics · Physics 2015-03-20 Markus Gross , Fathollah Varnik

Recently, a systematic experiment measuring critical anomaly of viscosity of polymer solutions has been reported by H. Tanaka and his co-workers (Phys.Rev.E, 65, 021802, (2002)). According to their experiments, the dynamic critical exponent…

Statistical Mechanics · Physics 2009-11-07 Akira Furukawa

Realistic equations of state valid in the whole state space of a multi-component mixture should satisfy at least three important constraints: (i) The Gibbs phase rule holds. (ii) At low densities, one can deduce a virial equation of state…

Statistical Mechanics · Physics 2013-08-01 Arnold Neumaier

We study low-speed flows of a highly compressible, single-phase fluid in the presence of gravity, for example in a regime appropriate for modeling recent space-shuttle experiments on fluids near the liquid-vapor critical point. In the…

Fluid Dynamics · Physics 2007-05-23 Diane L. Denny , Robert L. Pego

The model of dipole fluid for the ionic liquids similar to the molten NaCl is proposed. The estimates for the critical parameters are obtained with the help of the van der Waals equation of state. The influence of the rotation on the…

Soft Condensed Matter · Physics 2009-11-07 V. L. Kulinskii , N. P. Malomuzh

From a minimal set made of four scale factors defined at the liquid-gas critical point of a pure fluid, and one adjustable parameter which accounts for particle quantum effects, we demonstrate here a master singular behavior of the…

Statistical Mechanics · Physics 2007-05-23 Yves Garrabos

An extension of the relativistic density functional approach to the equation of state for strongly interacting matter is suggested which generalizes a recently developed modified excluded-volume mechanism to the case of temperature and…

Nuclear Theory · Physics 2018-02-16 Stefan Typel , David Blaschke

We present a novel method to derive liquid-gas coexisting densities, $\rho^{\pm}(T)$, from grand canonical simulations (without knowledge of $\Tc$ or criticality class). The minima of $ Q_{L}\equiv< m^{2} >_{L}^{2}/< m^{4}>_{L}$ in an…

Statistical Mechanics · Physics 2009-11-10 Young C. Kim , Michael E. Fisher , Erik Luijten

We have developed a scaled parametric equation of state to describe and predict thermodynamic properties of supercooled water. The equation of state, built on the growing evidence that the critical point of supercooled liquid-liquid water…

Soft Condensed Matter · Physics 2007-05-23 M. A. Anisimov , D. A. Fuentevilla

We develop a mathematical theory for a class of compressible viscoelastic rate-type fluids with stress diffusion. Our approach is based on the concepts used in the nowadays standard theory of compressible Newtonian fluids as…

Analysis of PDEs · Mathematics 2020-01-08 Miroslav Bulíček , Eduard Feireisl , Josef Málek