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Confined fluids display complex behavior due to layering and local packing. Here, we disentangle these effects by confining a hard-sphere fluid to the surface of a cylinder, such the circumference extends only over a few particle diameters.…

Soft Condensed Matter · Physics 2020-04-23 Charlotte F. Petersen , Lukas Schrack , Thomas Franosch

The depletion force and depletion potential between two in principle unequal "big" hard spheres embedded in a multicomponent mixture of "small" hard spheres are computed using the Rational Function Approximation method for the structural…

Soft Condensed Matter · Physics 2015-06-29 Santos Bravo Yuste , Andrés Santos , Mariano López de Haro

For binary fluid mixtures of spherical particles in which the two species are sufficiently different in size, the dominant wavelength of oscillations of the pair correlation functions is predicted to change from roughly the diameter of the…

Statistical Mechanics · Physics 2016-05-04 Antonia Statt , Rattachai Pinchaipat , Francesco Turci , Robert Evans , C. Patrick Royall

A binary quenched-annealed hard core mixture is considered in one dimension in order to model fluid adsorbates in narrow channels filled with a random matrix. Two different density functional approaches are employed to calculate adsorbate…

Statistical Mechanics · Physics 2009-11-10 Hendrik Reich , Matthias Schmidt

The site-site Ornstein-Zernike equation combined with the Verlet-modified bridge function has been applied to the binary hard sphere mixtures and pressure consistency has been tested. An equation of state has been computed for the case…

Statistical Mechanics · Physics 2023-11-09 Banzragch Tsednee , Tsogbayar Tsednee , Tsookhuu Khinayat

We extend our theory of amorphous packings of hard spheres to binary mixtures and more generally to multicomponent systems. The theory is based on the assumption that amorphous packings produced by typical experimental or numerical…

Disordered Systems and Neural Networks · Physics 2015-05-13 Indaco Biazzo , Francesco Caltagirone , Giorgio Parisi , Francesco Zamponi

Model of hard sphere system is important part of modern theories of liquids. Radial distribution function of hard sphere fluid represented in form of explicit analytical expression allows to obtain thermodynamic potentials in analytical…

Statistical Mechanics · Physics 2016-10-11 Timur Aslyamov

In the first paper of this series, we introduced Voronoi correlation functions to characterize the structure of maximally random jammed (MRJ) sphere packings across length scales. In the present paper, we determine a variety of correlation…

Statistical Mechanics · Physics 2016-09-14 Michael A. Klatt , Salvatore Torquato

Near-critical binary mixtures containing ions and confined between two charged and selective surfaces are studied within a Landau-Ginzburg theory extended to include electrostatic interactions. Charge density profiles and the effective…

Soft Condensed Matter · Physics 2012-02-28 Faezeh Pousaneh , Alina Ciach , Anna Maciolek

We use hard-sphere generalized hydrodynamic equations to discuss the extended hydrodynamic modes of a binary mixture. The theory presented here is analytic and it provides us with a simple description of the collective excitations of a…

Soft Condensed Matter · Physics 2009-11-11 M. Cristina Marchetti , Supurna Sinha

Percus showed that approximate theories for the structure of nonuniform hard sphere fluids can be generated by linear truncations of functional expansions of the nonuniform density rho (r) about that of an appropriately chosen uniform…

Statistical Mechanics · Physics 2007-05-23 Yng-Gwei Chen , John D. Weeks

Using Newtonian and Brownian dynamics simulations, the structural and transport properties of hard and soft spheres have been studied. The soft spheres were modeled using inverse power potentials ($V\sim r^{-n}$, with $1/n$ the potential…

Soft Condensed Matter · Physics 2015-05-13 Erik Lange , Jose B. Caballero , Antonio M. Puertas , Matthias Fuchs

The influence of ions on the bulk phase behavior of binary liquid mixtures acting as their solvents and on the corresponding interfacial structures close to a planar wall is investigated by means of density functional theory based on local…

Soft Condensed Matter · Physics 2012-07-18 Markus Bier , Andrea Gambassi , S. Dietrich

Using computed x-ray tomography we determine the three dimensional (3d) structure of binary hard sphere mixtures as a function of composition and size ratio of the particles, q. Using a recently introduced four-point correlation function we…

Soft Condensed Matter · Physics 2023-02-15 Houfei Yuan , Zhen Zhang , Walter Kob , Yujie Wang

The aim of this paper is to review and discuss qualitatively some results on the properties of amorphous packings of hard spheres that were recently obtained by means of the replica method. The theory gives predictions for the equation of…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Zamponi

A mixture of solvent particles with short-range, directional interactions and solute particles with short-range, isotropic interactions that can bond multiple times is of fundamental interest in understanding liquids and colloidal mixtures.…

Soft Condensed Matter · Physics 2016-09-21 Artee Bansal , D. Asthagiri , Kenneth R. Cox , Walter G. Chapman

The densest binary sphere packings in the alpha-x plane of small to large sphere radius ratio alpha and small sphere relative concentration x have historically been very difficult to determine. Previous research had led to the prediction…

Statistical Mechanics · Physics 2015-06-03 Adam B. Hopkins , Frank H. Stillinger , Salvatore Torquato

The properties of a hard-sphere fluid in contact with hard spherical and cylindrical walls are studied. Rosenfeld's density functional theory (DFT) is applied to determine the density profile and surface tension $\gamma$ for wide ranges of…

Statistical Mechanics · Physics 2007-05-23 P. Bryk , R. Roth , K. R. Mecke , S. Dietrich

We propose that the behavior of asymmetric binary fluid mixtures with a large class of attractive or repulsive interparticle interactions can be understood by mapping onto effective non-additive hard-sphere models. The latter are best…

Soft Condensed Matter · Physics 2007-05-23 A. A. Louis , R. Roth

We study the joint variability of structural information in a hard sphere fluid biased to avoid crystallisation and form fivefold symmetric geometric motifs. We show that the structural covariance matrix approach, originally proposed for…

Disordered Systems and Neural Networks · Physics 2018-07-04 Benjamin M. G. D. Carter , Francesco Turci , Pierre Ronceray , C. Patrick Royall