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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

Continuing our investigation into the numerical properties of the Hierarchical Reference Theory, we study the square well fluid of range lambda from slightly above unity up to 3.6. After briefly touching upon the core condition and the…

Condensed Matter · Physics 2009-11-07 Albert Reiner , Gerhard Kahl

We present a study of the self consistent Ornstein-Zernike approximation (SCOZA) for square-well (SW) potentials of narrow width delta. The main purpose of this investigation is to elucidate whether in the limit delta --> 0, the SCOZA…

Soft Condensed Matter · Physics 2015-05-20 Davide Pini , Alberto Parola , Jader Colombo , Luciano Reatto

The thermodynamic stability of the hard-sphere gas has been examined, using the formalism of scaled particle theory [SPT], and by applying explicitly the conditions of stability required by both the second and third laws of thermodynamics.…

Statistical Mechanics · Physics 2007-05-23 J. F. Kenney

The aim of this work is to investigate to what extent the structural properties of a short-range square-well (SW) fluid of range $\lambda$ at a given packing fraction and reduced temperature can be represented by those of a…

Statistical Mechanics · Physics 2007-05-23 Alexandr Malijevsky , Santos B. Yuste , Andres Santos

We study structural and thermophysical properties of a one-dimensional classical fluid made of penetrable spheres interacting via an attractive square-well potential. Penetrability of the spheres is enforced by reducing from infinite to…

Soft Condensed Matter · Physics 2009-09-24 Riccardo Fantoni , Achille Giacometti , Alexandr Malijevský , Andrés Santos

We analyze, without resort to any model field-mixing scheme, the leading temperature-dependent term in the "diameter" of the coexistence curve asymptotically close to the vapor-liquid critical point. For this purpose, we use a simple…

Statistical Mechanics · Physics 2024-01-15 M. Ya. Sushko , O. M. Babiy

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding

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

We report a detailed simulation and classical density functional theory study of the drying transition in a realistic model fluid at a smooth substrate. This transition (in which the contact angle $\theta\to 180^\circ$) is shown to be…

Statistical Mechanics · Physics 2016-10-26 Robert Evans , Maria C. Stewart , Nigel B. Wilding

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 study the motion of a rigid sphere falling in a two-layer stratified fluid under the action of gravity in the potential flow regime. Experiments at a moderate Reynolds number of approximately 20 to 450 indicate that a sphere with the…

A model for the radial distribution function $g(r)$ of a square-well fluid of variable width previously proposed [S. B. Yuste and A. Santos, J. Chem. Phys. {\bf 101}, 2355 (1994)] is revisited and simplified. The model provides an explicit…

Statistical Mechanics · Physics 2007-05-23 L. Acedo , A. Santos

The one-dimensional penetrable-square-well fluid is studied using both analytical tools and specialized Monte Carlo simulations. The model consists of a penetrable core characterized by a finite repulsive energy combined with a short-range…

Statistical Mechanics · Physics 2010-07-13 R. Fantoni , A. Giacometti , Al. Malijevský , A. Santos

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

Recently we have proposed (J. Chem. Phys. 128 (2008) 134508) a new rescaling of fluid density $\rho $ by its critical value $\rho_c^{2/3}$ to apply the corresponding states law for the attractive Yukawa fluids study. Analysis of precise…

Statistical Mechanics · Physics 2008-07-30 Yurko Duda , Pedro Orea

In this work a novel method to evaluate the liquid-vapor critical temperature using a generalization of the Microcanonical-ensemble computer simulation method (MCE) is presented. The isotherms of the chemical potential versus densities are…

Statistical Mechanics · Physics 2020-06-26 Francisco Sastre

Using a combination of Monte Carlo techniques, we locate the liquid--vapor critical point of adhesive hard spheres. We find that the critical point lies deep inside the gel region of the phase diagram. The (reduced) critical temperature and…

Statistical Mechanics · Physics 2009-11-10 Mark A. Miller , Daan Frenkel

Making use of a simple approximation for the evolution of the radial distribution function, we calculate the temperature dependence of the heat capacity $C_v$ of Ar at constant density. $C_v$ decreases with temperature roughly according to…

Chemical Physics · Physics 2017-04-26 S. M. Stishov

In this note we investigate using basic free energy considerations the location of the gas-liquid critical point with respect to solidification for narrow attractive interactions down to the Baxter limit. Possible experimental and…

Soft Condensed Matter · Physics 2009-11-13 P. Charbonneau , D. Frenkel
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