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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.…

Soft Condensed Matter · Physics 2020-01-20 S. Pieprzyk , A. C. Brańka , S. B. Yuste , A. Santos , M. López de Haro

We study electrostatic correlations in structured solvents confined to nanoscale systems. We derive variational equations of Netz-Orland type for a model liquid composed of finite size dipoles. These equations are solved for both dilute…

Soft Condensed Matter · Physics 2015-06-19 Sahin Buyukdagli , Ralf Blossey

The two-body interaction in dilute solutions of polymer chains in good solvents can be modeled by means of effective bounded potentials, the simplest of which being that of penetrable spheres (PSs). In this paper we construct two simple…

Soft Condensed Matter · Physics 2007-08-19 Alexandr Malijevsky , Santos B. Yuste , Andres Santos

Non-local electrostatic interactions associated with the finite solvent size and ion polarizability are investigated within the mean-field linear response theory. To this end, we introduce a field theoretic model of a polar liquid composed…

Soft Condensed Matter · Physics 2015-06-15 Sahin Buyukdagli , Tapio Ala-Nissila

The HNC Ornstein-Zernike integral equations are used to determine the properties of simple models of colloidal solutions where the colloids and ions are immersed in a solvent considered as a dielectric continuum and have a size ratio equal…

Soft Condensed Matter · Physics 2009-11-10 Daniel Leger , Dominique Levesque

Using a simple mean-field density functional theory theory (DFT), we investigate the structure and phase behaviour of a model colloidal fluid composed of particles interacting via a pair potential which has a hard core of diameter $\sigma$,…

Soft Condensed Matter · Physics 2007-05-23 A. J. Archer , D. Pini , R. Evans , L. Reatto

A model for ionic solutions with an attractive short-range pair interaction between the ions is presented. The short-range interaction is accounted for by adding a quadratic non-local term to the Poisson-Boltzmann free energy. The model is…

Soft Condensed Matter · Physics 2009-10-31 Yoram Burak , David Andelman

Electrical double layers (EDLs) arise when an electrolyte is in contact with a charged surface, and are encountered in several application areas including batteries, supercapacitors, electrocatalytic reactors, and colloids. In the modeling…

Soft Condensed Matter · Physics 2023-08-24 Aniruddha Seal , Utkarsh Tiwari , Ankur Gupta , Ananth Govind Rajan

A microscopic theory for coarse graining diblock copolymers into dumbbells of interacting soft colloidal particles has been developed, based on the solution of liquid-state integral equations. The Ornstein-Zernike equation is solved to…

Soft Condensed Matter · Physics 2009-11-13 E. J. Sambriski , M. G. Guenza

A thermodynamically self-consistent Ornstein-Zernike approximation (SCOZA) is applied to a fluid of spherical particles with a pair potential given by a hard-core repulsion and a Yukawa attractive tail $w(r)=-\exp [-z(r-1)]/r$. This…

Statistical Mechanics · Physics 2009-10-31 D. Pini , G. Stell , N. B. Wilding

The association of ions in electrolyte solutions at very low concentration and low temperature is studied using computer simulations and quasi-chemical ion-pairing theory. The specific case of the restricted primitive model (charged hard…

Soft Condensed Matter · Physics 2011-09-23 Chantal Valeriani , Philip J. Camp , Jos W. Zwanikken , René van Roij , Marjolein Dijkstra

We perform molecular dynamics and Monte Carlo simulations of two-dimensional melting with dipole-dipole interactions. Both static and dynamic behaviors are examined. In the isotropic liquid phase, the bond orientational correlation length 6…

Soft Condensed Matter · Physics 2008-06-24 Shizeng Lin , Bo Zheng , Steffen Trimper

Several statistical mechanical theories predict that colloidal suspensions of highly charged macroions and monovalent microions can exhibit unusual thermodynamic phase behavior when strongly deionized. Density-functional, extended…

Soft Condensed Matter · Physics 2009-11-11 A. R. Denton

We study the interaction between incompressible viscous fluids and multilayered elastic structures in a 3D/2D/3D framework, where a 3D fluid interacts with a 2D thin elastic layer, coupled to a 3D thick elastic solid. The system is driven…

Analysis of PDEs · Mathematics 2025-01-14 Claudiu Mîndrilă , Arnab Roy

A mechanical interaction of compressible viscoelastic fluids with viscoelastic solids in Kelvin-Voigt rheology using the concept of higher-order (so-called 2nd-grade multipolar) viscosity is investigated in a quasistatic variant. The…

Analysis of PDEs · Mathematics 2023-02-23 Tomáš Roubíček

A mixture of solvent particles with short-range, directional interactions and solute particles with short-range, isotropic interactions that can bond multiple times is of fundamental interest in understanding liquids and colloidal mixtures.…

Soft Condensed Matter · Physics 2016-09-21 Artee Bansal , D. Asthagiri , Kenneth R. Cox , Walter G. Chapman

The Ornstein-Zernike (OZ) equation is the fundamental equation for pair correlation function computations in the modern integral equation theory for liquids. In this work, machine learning models, notably physics-informed neural networks…

Computational Physics · Physics 2023-09-06 Wenqian Chen , Peiyuan Gao , Panos Stinis

We predict the thermodynamic behavior of bulk electrolytes from an ionic Hard-Core (HC) size-augmented self-consistent formalism incorporating asymmetrically the short- and long-range ion interactions via their virial and cumulant…

Soft Condensed Matter · Physics 2025-01-07 Sahin Buyukdagli

The phase behavior of Ising spin fluids is studied in the presence of an external magnetic field with the integral equation method. The calculations are performed on the basis of a soft mean spherical approximation using an efficient…

Statistical Mechanics · Physics 2016-08-31 I. P. Omelyan , I. M. Mryglod , R. Folk , W. Fenz

Within a dipolar Poisson-Boltzmann theory including electrostatic correlations, we consider the effect of explicit solvent structure on solvent and ion partition confined to charged nanopores. We develop a relaxation scheme for the solution…

Soft Condensed Matter · Physics 2015-10-28 Sahin Buyukdagli