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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

The aim of this work is to investigate to what extent the structural properties of a short-range square-well (SW) fluid of range $\lambda$ at a given packing fraction and reduced temperature can be represented by those of a…

统计力学 · 物理学 2007-05-23 Alexandr Malijevsky , Santos B. Yuste , Andres Santos

The structural and thermodynamic properties of fluids whose molecules interact via potentials with a hard-core plus a square well, a square shoulder, and a second square well, are considered. Those properties are derived by using a…

软凝聚态物质 · 物理学 2022-08-09 Santos B. Yuste , Andrés Santos , Mariano López de Haro

The square-well fluid with hard-sphere diameters is studied within the framework of Thermodynamic Geometry (TG). Coexistence and spinodal curves, as well as the Widom line for ranges $\lambda^{*} = 1.25, 1.5, 2.0, 3.0$ for this fluid are…

统计力学 · 物理学 2022-07-19 J. L. López-Picón , L. F. Escamilla-Herrera , J. Torres-Arenas

The main goal of this work is to accurately reproduce the structural properties of attractive systems modelled by hard-sphere plus square-well (HS+SW) interaction potential. Based on the optimized random phase approximation (ORPA), the…

We introduce a model of attractive penetrable spheres by adding a short range attractive square well outside a penetrable core, and we provide a detailed analysis of structural and thermodynamical properties in one dimension using the exact…

软凝聚态物质 · 物理学 2009-09-24 Andres Santos , Riccardo Fantoni , Achille Giacometti

The exact statistical-mechanical solution for the equilibrium properties, both thermodynamic and structural, of one-dimensional fluids of particles interacting via the triangle-well and the ramp potentials is worked out. In contrast to…

软凝聚态物质 · 物理学 2019-04-11 Ana M. Montero , Andrés 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

The structural properties of fluids whose molecules interact via potentials with a hard-core plus n piece-wise constant sections of different widths and heights are derived using a (semi-analytical) rational-function approximation method.…

软凝聚态物质 · 物理学 2012-07-13 A. Santos , S. B. Yuste , M. López de Haro

A simple theory for the leading-order correction g_1(r) to the structure of a hard-sphere liquid with discrete (e.g. square-well) potential perturbations is proposed. The theory makes use of a general approximation that effectively…

统计力学 · 物理学 2007-12-10 Artur B. Adib

The slow dynamics for a colloidal suspension of particles interacting with a hard-core repulsion complemented by a short-ranged attraction is discussed within the frame of mode-coupling theory for ideal glass transitions for parameter…

软凝聚态物质 · 物理学 2007-05-23 Matthias Sperl

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 structural properties of fluids whose molecules interact via potentials with a hard core plus two piece-wise constant sections of different widths and heights are presented. These follow from the more general development previously…

软凝聚态物质 · 物理学 2013-08-27 Andrés Santos , Santos B. Yuste , Mariano López de Haro , Mariana Bárcenas , Pedro Orea

Extensive molecular dynamics simulation studies of particles interacting via a short ranged attractive square-well (SW) potential are reported. The calculated loci of constant diffusion coefficient $D$ in the temperature-packing fraction…

软凝聚态物质 · 物理学 2009-11-07 G. Foffi , K. A. Dawson , S. V. Buldyrev , F. Sciortino , E. Zaccarelli , P. Tartaglia

We present a multichannel model for elastic interactions, comprised of an arbitrary number of coupled finite square-well potentials, and derive semi-analytic solutions for its scattering behavior. Despite the model's simplicity, it is…

原子物理 · 物理学 2018-12-11 Nirav P. Mehta , Kaden R. A. Hazzard , Christopher Ticknor

We review the nature of glass transitions and the glasses arising from a square-well potential with a narrow and deep well. Our discussion is based on the Mode Coupling Theory, and the predictions of glasses that we make refer to the…

软凝聚态物质 · 物理学 2009-10-31 E. Zaccarelli , G. Foffi , K. A. Dawson , F. Sciortino , P. Tartaglia

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

The penetrable-sphere model has been introduced in the literature to describe the peculiar thermodynamic behavior of some colloidal systems. In this model the interaction potential is $\phi(r)=\epsilon>0$ if the two spheres are overlapped…

统计力学 · 物理学 2014-11-10 Andres Santos

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…

统计力学 · 物理学 2016-10-11 Timur Aslyamov

Analytic approximations for the radial distribution function, the structure factor, and the equation of state of hard-core fluids in fractal dimension $d$ ($1 \leq d \leq 3$) are developed as heuristic interpolations from the knowledge of…

软凝聚态物质 · 物理学 2016-06-20 Andrés Santos , Mariano López de Haro
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