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A free-energy functional for a crystal proposed by Singh and Singh (Europhys. Lett. {\bf {88}}, 16005 (2009)) and which contains both the symmetry conserved and symmetry broken parts of the direct pair correlation function has been used to…

Soft Condensed Matter · Physics 2015-06-11 Anubha Jaiswal , Swarn L. Singh , Yashwant Singh

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…

Statistical Mechanics · Physics 2011-10-28 René D. Rohrmann , Andrés Santos

This paper presents a novel particle method to compute strongly coupled incompressible fluid and rigid bodies. The method adopts a velocity-based formulation and utilizes the linear complementarity problem for the incompressibility…

Fluid Dynamics · Physics 2023-03-01 Shugo Miyamoto , Seiichi Koshizuka

We use the Percus-Yevick approach in the chemical-potential route to evaluate the equation of state of hard hyperspheres in five dimensions. The evaluation requires the derivation of an analytical expression for the contact value of the…

Statistical Mechanics · Physics 2015-08-13 René D. Rohrmann , Andrés Santos

Binary mixtures of hard-spheres with different diameters and square-well attraction between different particles are studied by theory and Monte Carlo simulations. In our mesoscopic theory, local fluctuations of the volume fraction of the…

Soft Condensed Matter · Physics 2021-10-04 O. Patsahan , A. Meyra , A. Ciach

Fractional, anomalous diffusion in space-periodic potentials is investigated. The analytical solution for the effective, fractional diffusion coefficient in an arbitrary periodic potential is obtained in closed form in terms of two…

Statistical Mechanics · Physics 2021-02-02 E. Heinsalu , M. Patriarca , I. Goychuk , P. Hanggi

An analytical expression for square-well fluid direct correlation function (DCF) obtained recently by Tang (Y.Tang, J. Chem. Phys. 127, 164504 (2007)) in the first-order mean spherical approximation is extended for wider well widths…

Statistical Mechanics · Physics 2009-01-27 S. P. Hlushak , A. Trokhymchuk , S. Sokolowski

These lecture notes present an overview of equilibrium statistical mechanics of classical fluids, with special applications to the structural and thermodynamic properties of systems made of particles interacting via the hard-sphere…

Soft Condensed Matter · Physics 2014-06-24 Andrés Santos

In this paper, we demonstrate that potential theory provides a powerful framework for analyzing quasistationary fluid flows in bounded geometries, where the bulk dynamics are governed by elliptic equations with constant coefficients. This…

Analysis of PDEs · Mathematics 2026-05-21 Bogdan-Vasile Matioc , Christoph Walker

We perform the analysis of predictions of a classical density functional theory for associating fluids with different association strength concerned with wetting of solid surfaces. The four associating sites water-like models with…

Soft Condensed Matter · Physics 2024-04-01 A. Kozina , M. Aguilar , O. Pizio , S. Sokołowski

We represent the free energy functional by a diagrammatic series with tensorial coefficients indexed by powers of length scale. For hard cores, we obtain Percus' exact functional in one dimension and the Kierlik-Rosinberg form of…

Soft Condensed Matter · Physics 2015-05-27 Gavin Leithall , Matthias Schmidt

We present an efficient and robust semi-analytical formulation to compute the electric potential due to arbitrary-located point electrodes in three-dimensional cylindrically stratified media, where the radial thickness and the medium…

Computational Physics · Physics 2015-06-22 Haksu Moon , Fernando L. Teixeira , Burkay Donderici

We consider a system of multiple insulating rigid bodies moving inside of an electrically conducting compressible fluid. In this system we take into account the interaction of the fluid with the bodies as well as with the electromagnetic…

Analysis of PDEs · Mathematics 2022-08-15 Jan Scherz

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…

Statistical Mechanics · Physics 2007-05-23 Alexandr Malijevsky , Andres Santos

The angular part of the Faddeev equations is solved analytically for s-states for two-body square-well potentials. The results are, still analytically, generalized to arbitrary short-range potentials for both small and large distances. We…

Nuclear Theory · Physics 2009-10-30 A. S. Jensen , E. Garrido , D. V. Fedorov

Charged fluids rotating around compact objects can form unique equilibrium structures when ambient large-scale electromagnetic fields combine with strong gravity. Equatorial as well as off-equatorial toroidal structures are among such…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Jiří Kovář , Yasufumi Kojima , Petr Slaný , Zdeněk Stuchlík , Vladimír Karas

Two related approaches, one fairly recent [A. Trokhymchuk et al., J. Chem. Phys. 123, 024501 (2005)] and the other one introduced fifteen years ago [S. B. Yuste and A. Santos, Phys. Rev. A 43, 5418 (1991)], for the derivation of analytical…

Statistical Mechanics · Physics 2007-05-23 M. Lopez de Haro , A. Santos , S. B. Yuste

A microfluidic device is constructed from PDMS with a single channel having a short section that is a thin flexible membrane, in order to investigate the complex fluid-structure interaction that arises between a flowing fluid and a…

Soft Condensed Matter · Physics 2020-07-03 Debadi Chakraborty , J. Ravi Prakash , Leslie Yeo , James Friend

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…

Soft Condensed Matter · Physics 2012-03-27 Christoph Gögelein , Flavio Romano , Francesco Sciortino , Achille Giacometti

Interaction of particles of many systems can be effectively approximated by multiscale interaction potentials. Such potentials are widely used for investigation of colloidal systems and colloid-polymer mixtures, complex liquids (for…

Soft Condensed Matter · Physics 2019-02-13 Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok