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This work proposes a classification algorithm based on the radical Voronoi tessellation to define the Widom delta, supercritical gas-liquid coexistence region, of polyatomic molecules. In specific, we use a weighted mean-field…

Statistical Mechanics · Physics 2019-04-24 Tae Jun Yoon , Min Young Ha , Won Bo Lee , Youn-Woo Lee

We consider the van der Waals energy of an atom near the infinitely thin sphere with finite conductivity which model the fullerene. We put the sphere into spherical cavity inside the infinite dielectric media, then calculate the energy of…

Quantum Physics · Physics 2011-03-30 Nail R. Khusnutdinov

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

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

The transport of single-phase fluid mixtures in porous media is described by cross-diffusion equations for the mass densities. The equations are obtained in a thermodynamic consistent way from mass balance, Darcy's law, and the van der…

Analysis of PDEs · Mathematics 2016-12-14 Ansgar Jüngel , Jiří Mikyška , Nicola Zamponi

We look at the wetting of a pure fluid in contact with a charged flat surface. In the bulk, the fluid is a classical van der Waals fluid containing dissociated ions. The presence of wall and ions leads to strong dielectrophoretic and…

Statistical Mechanics · Physics 2021-11-16 Yoav Tsori

We study fluids of hard rods in the vicinity of hard spherical and cylindrical surfaces at densities below the isotropic-nematic transition. The Onsager second virial approximation is applied, which is known to yield exact results for the…

Soft Condensed Matter · Physics 2009-10-31 B. Groh , S. Dietrich

We report a simulation study of the gas-liquid critical point for the square-well potential, for values of well width delta as small as 0.005 times the particle diameter sigma. For small delta, the reduced second virial coefficient at the…

Soft Condensed Matter · Physics 2009-11-13 J. Largo , M. A. Miller , F. Sciortino

Many-body interactions can play a relevant role in water properties. Here we study by Monte Carlo simulations a coarse-grained model for bulk water that includes many-body interactions associated to water cooperativity. The model is…

Statistical Mechanics · Physics 2016-10-04 Luis Enrique Coronas , Valentino Bianco , Arne Zantop , Giancarlo Franzese

The problem of a physical relevance (meaning) of percolation in supercritical fluids is addressed considering a primitive model of water. Two different criteria, physical and configurational, are used for the cluster definition in Monte…

Soft Condensed Matter · Physics 2012-07-16 J. Skvor , I. Nezbeda

The demixing transition of a binary fluid mixture of additive hard spheres is analyzed for different size asymmetries by starting from the exact low-density expansion of the pressure. Already within the second virial approximation the fluid…

Statistical Mechanics · Physics 2009-11-10 M. Lopez de Haro , C. F. Tejero

The comprehension of universal thermodynamic behaviors in the supercritical region is crucial for examining the characteristics of black hole systems under high temperature and pressure. This study is devoted to the analysis of…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

In one of the most celebrated examples of the theory of universal critical phenomena, the phase transition to the superfluid state of $^{4}$He belongs to the same three dimensional $\mathrm{O}(2)$ universality class as the onset of…

Mesoscale and Nanoscale Physics · Physics 2015-06-10 P-F Duc , M. Savard , M. Petrescu , B. Rosenow , A. Del Maestro , G. Gervais

The behavior of fluids in the vicinity of the liquid-gas critical point is studied within the cell fluid model framework. The analytic method for deriving the equation of state of a cell fluid model in the low-temperature region (T<Tc) is…

Statistical Mechanics · Physics 2020-02-27 I. V. Pylyuk

We investigate the dynamics of spreading of a small liquid droplet in gas in a one-component simple fluid, where the temperature is inhomogeneous around 0.9Tc and latent heat is released or generated at the interface upon evaporation or…

Soft Condensed Matter · Physics 2015-05-18 Ryohei Teshigawara , Akira Onuki

A theory for the microscopic structure and the vibrational properties of soft sphere glass at finite temperature is presented. With an effective potential, derived here, the phase diagram and vibrational properties are worked out around the…

Soft Condensed Matter · Physics 2016-04-13 E. DeGiuli , E. Lerner , M. Wyart

A phenomenological criterion for the superfluid transition is proposed, which is similar to the Lindemann criterion for the crystal melting. Then we derive a new formula for the critical temperature, relating $T_{\lambda}$ to the mean…

Statistical Mechanics · Physics 2009-10-31 Sergey M. Apenko

The Gr\"uneisen ratio ($\Gamma$), i.e.\,the ratio of the linear thermal expansivity to the specific heat at constant pressure, quantifies the degree of anharmonicity of the potential governing the physical properties of a system. While…

We present an application of Wertheim's Thermodynamic Perturbation Theory (TPT1) to a simple coarse grained model made of flexibly bonded Lennard-Jones monomers. We use both the Reference Hyper-Netted-Chain (RHNC) and Mean Spherical…

Statistical Mechanics · Physics 2016-08-15 L. González MacDowell , M. Mueller , C. Vega , K. Binder

The supercritical state of matter is usually described as a continuous phase without sharp boundaries between liquid and gas regions. However, under non-equilibrium conditions, this view breaks down. Here we report an experimental…

Chemical Physics · Physics 2025-11-25 Paul Fruton , Emma Lisoir , Happiness Imuetinyan , Cédric Giraudet , Fabrizio Croccolo
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