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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 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

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

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…

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

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

We study a fluid-fluid phase transition of the explicit solvent model represented as a mixture of the restricted primitive model (RPM) of ionic fluid and neutral hard spherocylinders (HSC). To this end, we combine two theoretical…

软凝聚态物质 · 物理学 2022-07-26 M. Hvozd , T. Patsahan , O. Patsahan , M. Holovko

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…

化学物理 · 物理学 2017-11-10 Riccardo Fantoni

A known `sticky-hard-sphere' model, defined starting from a hard-sphere-Yukawa potential and taking the limit of infinite amplitude and vanishing range with their product remaining constant, is shown to be ill-defined. This is because its…

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

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 investigate the dependence of the stickiness parameters $t_{ij}=1/(12\tau _{ij})$ -- where the $\tau_{ij}$ are the conventional Baxter parameters -- on the solute diameters $\sigma_{i}$ and $\sigma_{j}$ in multicomponent sticky hard…

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

This paper presents the formulation and analysis of a mixed finite element method for a hemivariational inequality arising from the stationary convective Brinkman-Forchheimer extended Darcy (CBFeD) equations. This model extends the…

数值分析 · 数学 2025-08-06 Wasim Akram , Manil T. Mohan

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…

统计力学 · 物理学 2009-11-10 M. Lopez de Haro , C. F. Tejero

A detailed comparison between the Boubl\'ik-Mansoori-Carnahan-Starling-Leland (BMCSL)equation of state of hard-sphere mixtures is made with Molecular Dynamics (MD) simulations of the same compositions. The Lab\'ik and Smith simulation…

软凝聚态物质 · 物理学 2018-06-08 David M. Heyes , Andrés Santos

We investigate polydispersity effects on the average structure factor of colloidal suspensions of neutral particles with surface adhesion. A sticky hard sphere model alternative to Baxter's one is considered. The choice of factorizable…

统计力学 · 物理学 2009-11-07 Domenico Gazzillo , Achille Giacometti

The compressibility equation of state for a multicomponent fluid of particles interacting via an infinitely narrow and deep potential, is considered within the mean spherical approximation (MSA). It is shown that for a class of models…

统计力学 · 物理学 2009-11-07 Domenico Gazzillo , Achille Giacometti

We develop a multidensity formulation of the Ornstein-Zernike equation with Percus-Yevick closure for hard spheres with anisotropic surface adhesion of tetrahedral quadrupolar-like symmetry. An analytical solution is obtained using the…

软凝聚态物质 · 物理学 2025-12-29 Y. V. Kalyuzhnyi , P. T. Cummings

Closed analytical expressions for scattering intensity and other global structure factors are derived for a new solvable model of polydisperse sticky hard spheres. The starting point is the exact solution of the ``mean spherical…

统计力学 · 物理学 2009-10-31 Domenico Gazzillo , Achille Giacometti

A general class of nonadditive sticky-hard-sphere binary mixtures, where small and large spheres represent the solvent and the solute, respectively, is introduced. The solute-solute and solvent-solvent interactions are of hard-sphere type,…

软凝聚态物质 · 物理学 2015-06-16 Riccardo Fantoni , Achille Giacometti , Andrés Santos

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…

统计力学 · 物理学 2011-10-28 René D. Rohrmann , Andrés Santos
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