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A perturbation approach based on the first-order mean spherical approximation (FMSA) is proposed. It consists in adopting a hard-sphere plus short-range attractive Yukawa fluid as the novel reference system, over which the perturbative…

Soft Condensed Matter · Physics 2012-02-21 S. Hlushak , A. Trokhymchuk , I. Nezbeda

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…

Soft Condensed Matter · Physics 2009-09-24 Andres Santos , Riccardo Fantoni , Achille Giacometti

Integral equation of pure liquids, combined with a new "scaling approximation" based on a corresponding states treatment of pair correlation functions, is used to evaluate approximate structure factors for colloidal fluids constituted of…

We present a new model of warm dense matter that represents an intermediate approach between the relative simplicity of ''one-ion'' average atom models and the more realistic but computationally expensive ab initio simulation methods.…

Plasma Physics · Physics 2013-11-19 D. Saumon , C. E. Starrett , J. A. Anta , W. Daughton , G. Chabrier

We present methodologies for calculating the direct correlation function, c(1,2), the cavity function, y(1,2), and the bridge function, b(1,2), for molecular liquids, from Monte Carlo simulations. As an example we present results for the…

Soft Condensed Matter · Physics 2009-11-11 David L. Cheung , Lucian Anton , Michael P. Allen , Andrew J. Masters

This paper introduces a new conceptual framework that recasts surface roughness effects as a "ray deflection function" (RDF) which can be statistically represented through a modified Zernike-Fourier hybrid approach that directly connects…

Optics · Physics 2025-08-12 Netzer Moriya

In the first two papers of this series, we characterized the structure of maximally random jammed (MRJ) sphere packings across length scales by computing a variety of different correlation functions, spectral functions, hole probabilities,…

Statistical Mechanics · Physics 2018-01-24 Michael A. Klatt , Salvatore Torquato

A recent mode coupling theory of higher-order correlation functions is tested on a simple hard-sphere fluid system at intermediate densities. Multi-point and multi-time correlation functions of the densities of conserved variables are…

Statistical Mechanics · Physics 2009-11-07 Ramses van Zon , Jeremy Schofield

While the density functional theory with integral equations techniques are very efficient tools in numerical analysis of complex fluids, an analytical insight into the phenomenon of effective interactions is still limited. In this paper we…

Soft Condensed Matter · Physics 2014-09-24 M. Majka , P. F. Góra

We report a detailed study, using state-of-the-art simulation and theoretical methods, of the depletion potential between a pair of big hard spheres immersed in a reservoir of much smaller hard spheres, the size disparity being measured by…

Statistical Mechanics · Physics 2013-05-29 Douglas J. Ashton , Nigel B. Wilding , Roland Roth , Robert Evans

The shear stress autocorrelation function has been studied recently by molecular dynamics simulation using the 1/q^n potential for very large n. The results are analyzed and interpreted here by comparing them to the shear stress response…

Statistical Mechanics · Physics 2009-11-07 James W. Dufty

A theoretical description of the radial density profile for charged particles with Yukawa interaction in a harmonic trap is described. At strong Coulomb coupling shell structure is observed in both computer simulations and experiments.…

Statistical Mechanics · Physics 2015-05-30 Henning Bruhn , Hanno Kählert , Torben Ott , Michael Bonitz , Jeffrey Wrighton , James Dufty

We propose a new type of effective densities via the potential distribution theorem. These densities are for the sake of enabling the mapping of the free energy of a uniform fluid onto that of a nonuniform fluid. The potential distribution…

Soft Condensed Matter · Physics 2012-02-21 L. L. Lee , G. Pellicane

We perform systematic simulation experiments on model systems with soft-sphere repulsive interactions to test the predicted dynamic equivalence between soft-sphere liquids with similar static structure. For this we compare the simulated…

We present exact results for the dynamical structure function, i.e.~the density-density correlations for the 1/r^2 system of interacting particles at three special values of the coupling constant. The results are interpreted in terms of…

Condensed Matter · Physics 2016-08-31 E. R. Mucciolo , B. S. Shastry , B. D. Simons , B. L. Altshuler

Structural and thermodynamic properties of ionic fluids are related to those of a simpler ``mimic'' system with short ranged intermolecular interactions in a spatially varying effective field by use of Local Molecular Field (LMF) theory,…

Statistical Mechanics · Physics 2007-05-23 Yng-gwei Chen , Charanbir Kaur , John D. Weeks

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…

Determining the Fourier representation of various molecular interactions is important for constructing density-based field theories from a microscopic point of view, enabling a multiscale bridge between microscopic and mesoscopic…

Chemical Physics · Physics 2024-04-10 Jaehyeok Jin , David R. Reichman

A framework for developing new approximate electronic structure methods is presented, in which the correlation energy of a many-electron system in the ground state is computed as in the single-reference second-order many-body perturbation…

Chemical Physics · Physics 2011-06-15 Dimitri Laikov

Perfect fluid spheres, both Newtonian and relativistic, have attracted considerable attention as the first step in developing realistic stellar models (or models for fluid planets). Whereas there have been some early hints on how one might…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Damien Martin , Matt Visser