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Related papers: On the radial distribution function of a hard-sphe…

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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

The structure of the Baxter adhesive hard sphere fluid is examined using computer simulation. The radial distribution function (which exhibits unusual discontinuities due to the particle adhesion) and static structure factor are calculated…

Soft Condensed Matter · Physics 2009-11-10 Mark A. Miller , Daan Frenkel

The structural properties of fluids whose molecules interact via potentials with a hard core plus two piece-wise constant sections of different widths and heights are presented. These follow from the more general development previously…

Soft Condensed Matter · Physics 2013-08-27 Andrés Santos , Santos B. Yuste , Mariano López de Haro , Mariana Bárcenas , Pedro Orea

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

We introduce an approximation for the pair distribution function of the inhomogeneous hard sphere fluid. Our approximation makes use of our recently published averaged pair distribution function at contact which has been shown to accurately…

Soft Condensed Matter · Physics 2015-06-19 Paho Lurie-Gregg , Jeff B. Schulte , David Roundy

We solve the Percus-Yevick equation in even dimensions by reducing it to a set of simple integro-differential equations. This work generalizes an approach we developed previously for hard discs. We numerically obtain both the pair…

Statistical Mechanics · Physics 2008-10-15 M. Adda-Bedia , E. Katzav , D. Vella

We proposed a new extended version of Enskog theory for the description of the self-diffusion coefficient of a colloidal hard-sphere fluid adsorbed in a matrix of disordered hard-sphere obstacles. In a considered approach instead of contact…

Soft Condensed Matter · Physics 2025-06-26 M. F. Holovko , M. Ya. Korvatska

Structural and thermodynamic properties of multicomponent hard-sphere fluids at odd dimensions have recently been derived in the framework of the rational function approximation (RFA) [Rohrmann and Santos, Phys. Rev. E \textbf{83}, 011201…

Statistical Mechanics · Physics 2011-10-28 René D. Rohrmann , Andrés Santos

We consider the effect of intermolecular interactions on the optimal size-distribution of $N$ hard spheres that occupy a fixed total volume. When we minimize the free-energy of this system, within the Percus-Yevick approximation, we find…

Soft Condensed Matter · Physics 2009-10-31 Junfang Zhang , Ronald Blaak , Emmanuel Trizac , Jose A. Cuesta , Daan Frenkel

By using the Rosenfeld density functional we determine the number density profiles of both components of binary hard-sphere fluids close to a planar hard wall as well as the corresponding excess coverage and surface tension. The comparison…

Soft Condensed Matter · Physics 2009-10-31 R. Roth , S. Dietrich

We measure the two-point density correlations and Voronoi cell distributions of cyclically sheared granular spheres obtained with a fluorescence technique and compare them with random packing of frictionless spheres. We find that the radial…

Materials Science · Physics 2015-05-14 Andreea Panaitescu , Arshad Kudrolli

We report molecular dynamics results for the contact values of the radial distribution functions of binary additive mixtures of hard disks. The simulation data are compared with theoretical predictions from expressions proposed by Jenkins…

Statistical Mechanics · Physics 2007-05-23 Stefan Luding , Andres Santos

Determining the microstructure of colloidal suspensions under shear flows has been a challenge for theoretical and computational methods due to the singularly-perturbed boundary-layer nature of the problem. Previous approaches have been…

Soft Condensed Matter · Physics 2019-06-05 L. Banetta , A. Zaccone

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

Using the first seven known virial coefficients and forcing it to possess two branch-point singularities, a new equation of state for the hard-sphere fluid is proposed. This equation of state predicts accurate values of the higher virial…

Soft Condensed Matter · Physics 2009-06-26 Andrés Santos , Mariano López de Haro

Measuring the structure factor, S(q), of a dispersion of particles by Small-Angle X-ray Scattering provides a unique method to investigate the spatial arrangement of colloidal particles. However, it is impossible to find the exact location…

Soft Condensed Matter · Physics 2020-12-09 Robert Botet , Sylvie Kwok , Bernard Cabane

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

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

A recent paper [I. Klebanov et al. \emph{Mod. Phys. Lett. B} \textbf{22} (2008) 3153; arXiv:0712.0433] claims that the exact solution of the Percus-Yevick (PY) integral equation for a system of hard spheres plus a step potential is…

Soft Condensed Matter · Physics 2009-11-09 Andrés Santos

Diffusion of particles in complex fluids and gels is difficult to describe and often lies beyond the scope of the classical Stokes-Einstein relation. One of the main lines of research over the past few decades has sought to relate…

Soft Condensed Matter · Physics 2025-12-25 Władysław Sokołowski , Huma Jamil , Karol Makuch