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Bounded potentials are good models to represent the effective two-body interaction in some colloidal systems, such as dilute solutions of polymer chains in good solvents. The simplest bounded potential is that of penetrable spheres, which…

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

Accurate descriptions of reference systems are a central task in liquid-state theories for the study of more complex systems. Using scaled particle theory (SPT), we derive a fully analytical description of the thermodynamic properties of a…

软凝聚态物质 · 物理学 2026-03-31 T. Hvozd , M. Hvozd , M. Holovko

The simplest bounded potential is that of penetrable spheres, which takes a positive finite value $\epsilon$ if the two spheres are overlapped, being 0 otherwise. In this paper we derive the cavity function to second order in density and…

统计力学 · 物理学 2015-06-29 Andres Santos , Alexandr Malijevsky

We study structural and thermophysical properties of a one-dimensional classical fluid made of penetrable spheres interacting via an attractive square-well potential. Penetrability of the spheres is enforced by reducing from infinite to…

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

The SPT2 approach is based on the scaled particle theory and developed for the description of thermodynamic properties of hard sphere (HS) fluids in disordered porous media. Using this approach a porous medium is modelled as a quenched…

软凝聚态物质 · 物理学 2017-10-04 M. Holovko , T. Patsahan , W. Dong

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

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 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

The Ornstein-Zernike integral equation method has been employed for a single-component hard sphere fluid in terms of the Percus-Yevick (PY) and Martynov-Sarkisov (MS) approximations. Virial equation of state has been computed in both…

统计力学 · 物理学 2023-06-21 Purevkhuu Munkhbaatar , Banzragch Tsednee , Tsogbayar Tsednee , Tsookhuu Khinayat

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 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

We review the literature on scaled particle theory (SPT) and its extensions and discuss results applied to describe the thermodynamics of hard particle mixtures. After explaining the basic concepts of scaled particle theory to compute the…

软凝聚态物质 · 物理学 2025-07-01 Volodymyr Shmotolokha , Jonas Maier-Borst , Mark Vis , Anja Kuhnhold , Remco Tuinier

High temperature approximation (HTA) is used to describe the phase behavior of polydisperse multi-Yukawa hard-sphere chain fluid mixtures with chain length polydispersity. It is demonstrated that in the frames of the HTA the model belongs…

软凝聚态物质 · 物理学 2009-11-11 S. P. Hlushak , Yu. V. Kalyuzhnyi

We use the extension of scaled particle theory (ESPT) presented in the accompanying paper [Stillinger et al. J. Chem. Phys. xxx, xxx (2007)] to calculate numerically pair correlation function of the hard sphere fluid over the density range…

统计力学 · 物理学 2009-11-11 Swaroop Chatterjee , Pablo G. Debenedetti , Frank H. Stillinger

We consider a fluid of $d$-dimensional spherical particles interacting via a pair potential $\phi(r)$ which takes a finite value $\epsilon$ if the two spheres are overlapped ($r<\sigma$) and 0 otherwise. This penetrable-sphere model has…

统计力学 · 物理学 2015-06-29 L. Acedo , A. Santos

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

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

We use molecular dynamics simulations to test integral equation theory predictions for the structure of fluids of spherical particles with eight different piecewise-constant pair interaction forms comprising a hard core and a combination of…

软凝聚态物质 · 物理学 2015-05-01 Kyle B. Hollingshead , Thomas M. Truskett

We have performed extensive Monte Carlo simulations in the canonical (NVT) ensemble of the pair correlation function for square-well fluids with well widths $\lambda-1$ ranging from 0.1 to 1.0, in units of the diameter $\sigma$ of the…

统计力学 · 物理学 2007-05-23 J. Largo , J. R. Solana , S. B. Yuste , A. Santos

We present an application of Wertheim's Thermodynamic Perturbation Theory (TPT1) to a simple coarse grained model made of flexibly bonded Lennard-Jones monomers. We use both the Reference Hyper-Netted-Chain (RHNC) and Mean Spherical…

统计力学 · 物理学 2016-08-15 L. González MacDowell , M. Mueller , C. Vega , K. Binder
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