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An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural properties, they yield a thermodynamically…

统计力学 · 物理学 2008-07-18 M. Lopez de Haro , S. B. Yuste , A. Santos

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

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…

软凝聚态物质 · 物理学 2009-11-10 M. A. Miller , D. Frenkel

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…

The direct correlation function and the (static) structure factor for a seven-dimensional hard-sphere fluid are considered. Analytical results for these quantities are derived within the Percus-Yevick theory

统计力学 · 物理学 2007-05-23 Miguel Robles , Mariano Lopez de Haro , Andres Santos

We consider an anisotropic version of Baxter's model of `sticky hard spheres', where a nonuniform adhesion is implemented by adding, to an isotropic surface attraction, an appropriate `dipolar sticky' correction (positive or negative,…

软凝聚态物质 · 物理学 2009-11-13 Domenico Gazzillo , Riccardo Fantoni , Achille Giacometti

This Perspective article provides an overview of some of our analytical approaches to the computation of the structural and thermodynamic properties of single-component and multicomponent hard-sphere fluids. For the structural properties,…

软凝聚态物质 · 物理学 2020-09-28 Andrés Santos , Santos B. Yuste , Mariano López de Haro

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 ($\mu$…

软凝聚态物质 · 物理学 2014-04-15 René D. Rohrmann , Andrés Santos

An approximation within Wertheim's second order perturbation theory is proposed which allows for the development of a general solution for pure component fluids with an arbitrary number and functionality of association sites. The solution…

软凝聚态物质 · 物理学 2021-10-12 B. D. Marshall

We study the Kern-Frenkel model for patchy colloids using Barker-Henderson second-order thermodynamic perturbation theory. The model describes a fluid where hard sphere particles are decorated with one patch, so that they interact via a…

软凝聚态物质 · 物理学 2012-03-27 Christoph Gögelein , Flavio Romano , Francesco Sciortino , Achille Giacometti

We discuss structural and thermodynamical properties of Baxter's adhesive hard sphere model within a class of closures which includes the Percus-Yevick (PY) one. The common feature of all these closures is to have a direct correlation…

统计力学 · 物理学 2009-11-10 Domenico Gazzillo , Achille Giacometti

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…

统计力学 · 物理学 2009-10-31 Kirill Katsov , John D. Weeks

We consider a fluid of hard spheres bearing one or two uniform circular adhesive patches, distributed so as not to overlap. Two spheres interact via a ``sticky'' Baxter potential if the line joining the centers of the two spheres intersects…

We show that the dynamics of soft-sphere systems with purely repulsive interactions can be described by introducing an effective hard-sphere diameter determined using the Andersen-Weeks-Chandler approximation. We find that this…

软凝聚态物质 · 物理学 2011-10-28 Michael Schmiedeberg , Thomas K. Haxton , Sidney R. Nagel , Andrea J. Liu

We propose an extension of the second-order Barker-Henderson perturbation theory for polydisperse hard-sphere multi-Morse mixture. To verify the accuracy of the theory, we compare its predictions for the limiting case of monodisperse…

软凝聚态物质 · 物理学 2015-04-17 T. V. Hvozd , Yu. V. Kalyuzhnyi

We discuss phase coexistence of polydisperse colloidal suspensions in the presence of adhesion forces. The combined effect of polydispersity and Baxter's sticky-hard-sphere (SHS) potential, describing hard spheres interacting via strong and…

统计力学 · 物理学 2009-11-11 Domenico Gazzillo , Achille Giacometti , Riccardo Fantoni

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

Following the work of Leutheusser [Physica A 127, 667 (1984)], the solution to the Percus-Yevick equation for a seven-dimensional hard-sphere fluid is explicitly found. This allows the derivation of the equation of state for the fluid…

统计力学 · 物理学 2015-06-29 M. Robles , M. Lopez de Haro , A. Santos

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…

软凝聚态物质 · 物理学 2009-11-10 Mark A. Miller , Daan Frenkel

We propose an improved effective-medium theory to obtain the concentration dependence of the viscosity of particle suspensions at arbitrary volume fractions. Our methodology can be applied, in principle, to any particle shape as long as the…

软凝聚态物质 · 物理学 2010-06-01 I. Santamaria-Holek , Carlos I. Mendoza
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