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An Ornstein-Zernike approximation for the two-body correlation function embodying thermodynamic consistency is applied to a system of classical Heisenberg spins on a three-dimensional lattice. The consistency condition determined in a…

Statistical Mechanics · Physics 2009-11-07 D. Pini , J. S. Hoye , G. Stell

The homogeneous state of a binary mixture of smooth inelastic hard disks or spheres is analyzed. The mixture is driven by a thermostat composed by two terms: a stochastic force and a drag force proportional to the particle velocity. The…

Statistical Mechanics · Physics 2014-04-24 Nagi Khalil , Vicente Garzó

We calculated the spatial distribution of reduced density and pair distribution function (PDF) of solvent hard spheres near a solute using three-dimensional Ornstein-Zernike (OZ) equations coupled with closures in which Percus-Yevick (PY)…

Soft Condensed Matter · Physics 2023-11-27 Mika Matsuo , Yuka Nakamura , Masahiro Kinoshita , Ryo Akiyama

The equation of state of a hard sphere fluid at high density should exhibit a simple pole at the random close packing limit. Here we show that trying to obtain a compact semi-empirical equation of state simultaneously compatible with that…

Soft Condensed Matter · Physics 2019-08-14 Richard Bonneville

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

The local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like kinetic…

Statistical Mechanics · Physics 2020-04-22 J. Javier Brey , P. Maynar , M. I. García de Soria

We report extensive molecular-dynamics simulation results for binary mixtures of hard spheres for different size disparities and different mixing percentages,for packing fractions up to 0.605 and over a characteristic time interval spanning…

Soft Condensed Matter · Physics 2007-05-23 G. Foffi , W. Gotze , F. Sciortino , P. Tartaglia , Th. Voigtmann

Hard sphere systems in two dimensions are examined for arbitrary density. Simulation results are compared to the theoretical predictions for both the low and the high density limit, where the system is either disordered or ordered,…

Statistical Mechanics · Physics 2009-11-07 S. Luding

Using a fundamental measure density functional theory we investigate both bulk and inhomogeneous systems of the binary non-additive hard sphere model. For sufficiently large (positive) non-additivity the mixture phase separates into two…

Soft Condensed Matter · Physics 2010-07-30 Paul Hopkins , Matthias Schmidt

Steady simple shear flow of a low-density binary mixture of inelastic smooth hard spheres is studied in the context of the Boltzmann equation. This equation is solved by using two different and complementary approaches: a Sonine polynomial…

Soft Condensed Matter · Physics 2009-11-07 J. M. Montanero , V. Garzo

Using density functional theory we calculate the density profiles of a binary solvent adsorbed around a pair of big solute particles. All species interact via repulsive Gaussian potentials. The solvent exhibits fluid-fluid phase separation…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , R. Evans , R. Roth , M. Oettel

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 examine the steady state properties of binary systems of driven inelastic hard spheres. The spheres, which move under the influence of gravity, are contained in a vertical cylinder with a vibrating base. We computed the trajectories of…

Statistical Mechanics · Physics 2009-11-10 Peter E. Krouskop , Julian Talbot

Based on fundamental measure theory, a Helmholtz free energy density functional for three-component mixtures of hard spheres with general, non-additive interaction distances is constructed. The functional constitutes a generalization of the…

Soft Condensed Matter · Physics 2011-09-28 Matthias Schmidt

Distribution of a two component electrolyte mixture between the model adsorbent and a bulk aqueous electrolyte solution was studied using the replica Ornstein-Zernike theory and the grand canonical Monte Carlo method. The electrolyte…

Soft Condensed Matter · Physics 2012-07-16 M. Luksic , V. Vlachy , B. Hribar-Lee

Within the mode-coupling theory for idealized glass transitions, we study the evolution of structural relaxation in binary mixtures of hard spheres with size ratios $\delta$ of the two components varying between 0.5 and 1.0. We find two…

Soft Condensed Matter · Physics 2009-11-07 W. Götze , Th. Voigtmann

The rheology of a dilute binary mixture of inertial suspension under simple shear flow is analyzed in the context of the Boltzmann kinetic equation. The effect of the surrounding viscous gas on the solid particles is accounted for by means…

Soft Condensed Matter · Physics 2023-11-27 Satoshi Takada , Hisao Hayakawa , Vicente Garzó

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

A simple recipe to derive the compressibility factor of a multicomponent mixture of d-dimensional additive hard spheres in terms of that of the one-component system is proposed. The recipe is based (i) on an exact condition that has to be…

Statistical Mechanics · Physics 2019-05-23 A. Santos , S. B. Yuste , M. Lopez de Haro

Realistic equations of state valid in the whole state space of a multi-component mixture should satisfy at least three important constraints: (i) The Gibbs phase rule holds. (ii) At low densities, one can deduce a virial equation of state…

Statistical Mechanics · Physics 2013-08-01 Arnold Neumaier