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Related papers: Structural and Thermodynamic Properties of Hard-Sp…

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Two related approaches, one fairly recent [A. Trokhymchuk et al., J. Chem. Phys. 123, 024501 (2005)] and the other one introduced fifteen years ago [S. B. Yuste and A. Santos, Phys. Rev. A 43, 5418 (1991)], for the derivation of analytical…

Statistical Mechanics · Physics 2007-05-23 M. Lopez de Haro , A. Santos , S. B. Yuste

We derive an exact equation for density changes induced by a general external field that corrects the hydrostatic approximation where the local value of the field is adsorbed into a modified chemical potential. Using linear response theory…

Statistical Mechanics · Physics 2009-10-31 Kirill Katsov , John D. Weeks

We present a new method for studying equilibrium properties of interacting fluids in an arbitrary external field. The fluid is composed of monodisperse spherical particles with hard-core repulsion and additional interactions of arbitrary…

Soft Condensed Matter · Physics 2021-03-09 Benaoumeur Bakhti , Gerhard Müller

The structural properties of fluids whose molecules interact via potentials with a hard-core plus n piece-wise constant sections of different widths and heights are derived using a (semi-analytical) rational-function approximation method.…

Soft Condensed Matter · Physics 2012-07-13 A. Santos , S. B. Yuste , M. López de Haro

An approach to obtain the structural properties of additive binary hard-sphere mixtures is presented. Such an approach, which is a nontrivial generalization of the one recently used for monocomponent hard-sphere fluids [S. Pieprzyk, A. C.…

Soft Condensed Matter · Physics 2020-01-20 S. Pieprzyk , A. C. Brańka , S. B. Yuste , A. Santos , M. López de Haro

A comparison of simulation results with the prediction of the structural properties of square-shoulder fluids is carried out to assess the performance of three theories: Tang--Lu's first-order mean spherical approximation, the simplified…

Soft Condensed Matter · Physics 2016-03-01 M. López de Haro , S. B. Yuste , A. Santos

We develop a multidensity formulation of the Ornstein-Zernike equation with Percus-Yevick closure for hard spheres with anisotropic surface adhesion of tetrahedral quadrupolar-like symmetry. An analytical solution is obtained using the…

Soft Condensed Matter · Physics 2025-12-29 Y. V. Kalyuzhnyi , P. T. Cummings

Various properties of fluids consisting of platelike particles differ from the corresponding ones of fluids consisting of spherical particles because interactions between platelets depend on their mutual orientations. One of the main issues…

Soft Condensed Matter · Physics 2008-12-09 L. Harnau

We calculate thermodynamic and structural quantities of a fluid of hard spheres of diameter $\sigma$ in a quasi-one-dimensional pore with accessible pore width $W $ smaller than $\sigma$ by applying a perturbative method worked out earlier…

Soft Condensed Matter · Physics 2024-07-04 Thomas Franosch , Rolf Schilling

The structural properties of confined single-file hard-disk fluids are studied analytically by means of a mapping of the original system onto a one-dimensional mixture of non-additive hard rods, the mapping being exact in the polydisperse…

Soft Condensed Matter · Physics 2023-07-25 Ana M. Montero , Andrés Santos

The coupling-parameter method, whereby an extra particle is progressively coupled to the rest of the particles, is applied to the sticky-hard-sphere fluid to obtain its equation of state in the so-called chemical-potential route ($\mu$…

Soft Condensed Matter · Physics 2014-04-15 René D. Rohrmann , Andrés Santos

This work is devoted to analyze the relation between the thermodynamic properties of a confined fluid and the shape of its confining vessel. Recently, new insights in this topic were found through the study of cluster integrals for…

Statistical Mechanics · Physics 2016-03-09 Ignacio Urrutia

We use the Percus-Yevick approach in the chemical-potential route to evaluate the equation of state of hard hyperspheres in five dimensions. The evaluation requires the derivation of an analytical expression for the contact value of the…

Statistical Mechanics · Physics 2015-08-13 René D. Rohrmann , Andrés Santos

New proposals for the equation of state of four- and five-dimensional hard-hypersphere mixtures in terms of the equation of state of the corresponding monocomponent hard-hypersphere fluid are introduced. Such proposals (which are…

Soft Condensed Matter · Physics 2020-04-22 Mariano López de Haro , Andrés Santos , Santos B. Yuste

We simulate a hard-sphere liquid in confined geometry where the separation of the two parallel, hard walls is smaller than two particle diameters. By systematically reducing the wall separation we analyze the behavior of structural and…

Soft Condensed Matter · Physics 2022-08-18 Gerhard Jung , Thomas Franosch

The phase behavior of the Baxter adhesive hard sphere fluid has been determined using specialized Monte Carlo simulations. We give a detailed account of the techniques used and present data for the fluid-fluid coexistence curve as well as…

Soft Condensed Matter · Physics 2009-11-10 M. A. Miller , D. Frenkel

We apply second order Andersen-Weeks-Chandler perturbation theory to the one-component sticky-hard-spheres fluid. We compare the results with the mean spherical approximation, the Percus-Yevick approximation, two generalized Percus-Yevick…

Chemical Physics · Physics 2017-11-10 Riccardo Fantoni

Within the framework of the local-equilibrium approach, the equilibrium and nonequilibrium properties relevant to the hydrodynamics of the perfect hard-sphere crystal are obtained with molecular dynamics simulations using the Helfand…

Statistical Mechanics · Physics 2023-11-03 Joel Mabillard , Pierre Gaspard

For a fluid of convex hard particles, characterized by a length scale $\sigma_\text{min}$ and an anisotropy parameter $\epsilon$, we develop a formalism allowing one to relate thermodynamic quantities to the body's shape. In a first step…

Statistical Mechanics · Physics 2025-06-17 Thomas Franosch , Cristiano De Michele , Rolf Schilling

The chemical potential of a hard-sphere fluid can be expressed in terms of the contact value of the radial distribution function of a solute particle with a diameter varying from zero to that of the solvent particles. Exploiting the…

Statistical Mechanics · Physics 2012-09-24 Andrés Santos