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The rational function approximation method, density functional theory, and NVT Monte Carlo simulation are used to obtain the density profiles of multicomponent hard-sphere mixtures near a planar hard wall. Binary mixtures with a size ratio…

统计力学 · 物理学 2007-06-06 Alexandr Malijevsky , Santos B. Yuste , Andres Santos , Mariano Lopez de Haro

The fundamental measure density functional theory for hard spheres is generalized to binary mixtures of arbitrary positive and moderate negative non-additivity between unlike components. In bulk the theory predicts fluid-fluid phase…

软凝聚态物质 · 物理学 2009-11-10 Matthias Schmidt

We present a versatile density functional approach (DFT) for calculating the depletion potential in general fluid mixtures. In contrast to brute force DFT, our approach requires only the equilibrium density profile of the small particles…

软凝聚态物质 · 物理学 2009-10-31 R. Roth , R. Evans , S. Dietrich

We construct a non-perturbative fully analytical approximation for the thermodynamics and the structure of nonadditive hard-sphere fluid mixtures. The method essentially lies in a heuristic extension of the Percus-Yevick solution for…

软凝聚态物质 · 物理学 2011-10-14 Riccardo Fantoni , Andrés Santos

We analyze the structure of the Fundamental Measure Theory for the free energy density functional of hard sphere mixtures. A comparative study of the different versions of the theory, and other density functional approaches, is done in…

软凝聚态物质 · 物理学 2009-11-07 Jose A. Cuesta , Yuri Martinez-Raton , Pedro Tarazona

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.…

软凝聚态物质 · 物理学 2020-01-20 S. Pieprzyk , A. C. Brańka , S. B. Yuste , A. Santos , M. López de Haro

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…

软凝聚态物质 · 物理学 2009-10-31 R. Roth , S. Dietrich

Mixtures of hard hyperspheres in odd space dimensionalities are studied with an analytical approximation method. This technique is based on the so-called Rational Function Approximation and provides a procedure for evaluating equations of…

软凝聚态物质 · 物理学 2015-03-17 René D. Rohrmann , Andrés Santos

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…

统计力学 · 物理学 2007-05-23 P. Bryk , R. Roth , K. R. Mecke , S. Dietrich

Hard spheres are a central and important model reference system for both homogeneous and inhomogeneous fluid systems. In this paper we present new high-precision molecular-dynamics computer simulations for a hard sphere fluid at a planar…

统计力学 · 物理学 2016-03-23 R. L. Davidchack , B. B. Laird , R. Roth

We show that the formal procedure of integrating out the degrees of freedom of the small spheres in a binary hard-sphere mixture works equally well for non-additive as it does for additive mixtures. For highly asymmetric mixtures (small…

软凝聚态物质 · 物理学 2009-11-07 R. Roth , R. Evans , A. A. Louis

The fundamental measure approach to classical density functional theory has been shown to be a powerful tool to predict various thermodynamic properties of hard-sphere systems. We employ this approach to determine not only one-particle…

软凝聚态物质 · 物理学 2015-11-02 Andreas Härtel , Matthias Kohl , Michael Schmiedeberg

Monte Carlo simulations on the structural properties of ternary fluid mixtures of additive hard spheres are reported. The results are compared with those obtained from a recent analytical approximation [S. B. Yuste, A. Santos, and M. Lopez…

Previously, it has been shown that the direct correlation function for a Lennard-Jones fluid could be modeled by a sum of that for hard-spheres, a mean-field tail and a simple linear correction in the core region constructed so as to…

统计力学 · 物理学 2008-08-20 James F. Lutsko

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…

软凝聚态物质 · 物理学 2015-06-29 Santos Bravo Yuste , Andrés Santos , Mariano López de Haro

The structure of polydisperse hard sphere fluids, in the presence of a wall, is studied by the Rosenfeld density functional theory. Within this approach, the local excess free energy depends on only four combinations of the full set of…

软凝聚态物质 · 物理学 2009-10-31 I. Pagonabarraga , M. E. Cates , G. J. Ackland

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…

软凝聚态物质 · 物理学 2010-07-30 Paul Hopkins , Matthias Schmidt

The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities $d$ are studied with an analytical approximation method that generalizes the Rational Function Approximation earlier introduced in the…

统计力学 · 物理学 2011-11-10 Rene D. Rohrmann , Andres Santos

Hard-sphere fluids confined between parallel plates a distance $D$ apart are studied for a wide range of packing fractions, including also the onset of crystallization, applying Monte Carlo simulation techniques and density functional…

An equation of state for a multicomponent mixture of non-additive hard spheres in $d$ dimensions is proposed. It yields a rather simple density dependence and constitutes a natural extension of the equation of state for additive hard…

软凝聚态物质 · 物理学 2007-05-23 A. Santos , M. Lopez de Haro , S. B. Yuste
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