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Related papers: Highly asymmetric electrolytes in the primitive mo…

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The hypernetted chain/mean spherical approximation (HNC/MSA) integral equation is obtained and solved numerically for a totally asymmetric primitive model electrolyte around a spherical macroparticle. The ensuing radial distribution…

Monte Carlo simulations of a spherical macroion, surrounded by a size-asymmetric electrolyte in the primitive model, were performed. We considered 1:1 and 2:2 salts with a size ratio of 2 (i.e., with coions twice the size of counterions),…

Soft Condensed Matter · Physics 2013-05-29 G. I. Guerrero-García , E. González-Tovar , M. Chávez-Páez

The design of accurate helium-solute interaction potentials for the simulation of chemically complex molecules solvated in superfluid helium has long been a cumbersome task due to the rather weak but strongly anisotropic nature of the…

Chemical Physics · Physics 2021-03-25 Christoph Schran , Felix Uhl , Jörg Behler , Dominik Marx

We study the glassy transition for simple liquids in the hypernetted chain (HNC) approximation by means of an effective potential recently introduced. Integrating the HNC equations for hard spheres, we find a transition scenario analogous…

Statistical Mechanics · Physics 2009-10-30 Miguel Cardenas , Silvio Franz , Giorgio Parisi

A mesoscopic theory for the primitive model of ionic systems is developed for arbitrary size, $\lambda=\sigma_+/\sigma_-$, and charge, $Z=e_+/|e_-|$, asymmetry. Our theory is an extension of the theory we developed earlier for the…

Statistical Mechanics · Physics 2009-11-10 A. Ciach , W. T. Góźdź , G. Stell

We propose a generalisation of molecular density functional theory to describe inhomogeneous solvent mixture, with the objective of modelling electrolytic solutions. Two electrolytic models are presented, both within the HNC approximation.…

Chemical Physics · Physics 2025-11-13 Guillaume Jeanmairet , Luc Belloni , Daniel Borgis

The restricted primitive model with nonadditive hard-sphere diameters is shown to have interesting and peculiar clustering properties. We report accurate calculations of the cluster concentrations. Implementing efficient and ad hoc Monte…

Soft Condensed Matter · Physics 2013-07-11 Riccardo Fantoni , Giorgio Pastore

Mixtures of hard hyperspheres in odd space dimensionalities are studied with an analytical approximation method. This technique is based on the so-called Rational Function Approximation and provides a procedure for evaluating equations of…

Soft Condensed Matter · Physics 2015-03-17 René D. Rohrmann , Andrés Santos

We study a fluid-fluid phase transition of the explicit solvent model represented as a mixture of the restricted primitive model (RPM) of ionic fluid and neutral hard spherocylinders (HSC). To this end, we combine two theoretical…

Soft Condensed Matter · Physics 2022-07-26 M. Hvozd , T. Patsahan , O. Patsahan , M. Holovko

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

In this paper, we consider a monolithic approach to handle coupled fluid-structure interaction problems with different hyperelastic models in an all-at-once manner. We apply Newton's method in the outer iteration dealing with nonlinearities…

Numerical Analysis · Mathematics 2014-08-19 Ulrich Langer , Huidong Yang

We use the thread model for linear chains of interacting monomers, and the ``polymer reference interaction site model'' (PRISM) formalism to determine the monomer-monomer pair correlation function $h_{mm}(r)$ for dilute and semi-dilute…

Soft Condensed Matter · Physics 2007-05-23 V. Krakoviack , B. Rotenberg , J. -P. Hansen

We explore an idealized theoretical model for the transport of ions within highly asymmetric ionic liquid mixtures. A primitive model (PM)-inspired system serves as a representative for asymmetric ionic materials (such as liquid crystalline…

The most essential concept in concurrent multiscale methods involving atomistic-continuum coupling is how to define the relation between atomistic and continuum regions. A well-known coupling method that has been frequently employed in…

Mesoscale and Nanoscale Physics · Physics 2022-07-27 Pouya Towhidi , Manouchehr Salehi

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

In this paper we present an approach to approximate numerically the solution of coupled hyperbolic conservation laws. The coupling is achieved through a fixed interface, in which interface conditions are linking the traces of both sides.…

Numerical Analysis · Mathematics 2016-03-18 Nina Aguillon , Raul Borsche

We have studied the structure and thermodynamic properties of isotropic three-dimensional core-softened fluid by using the second-order Ornstein-Zernike integral equations completed by the hypernetted chain and Percus-Yevick closures. The…

Soft Condensed Matter · Physics 2011-06-17 O. Pizio , Z. Sokolowska , S. Sokolowski

Although lattice gases composed by $k$NN particles, forbidding up to their $k$th nearest neighbors of being occupied, have been widely investigated in literature, the location and the universality class of the fluid-columnar transition in…

Statistical Mechanics · Physics 2021-03-31 Nathann T. Rodrigues , Tiago J. Oliveira

We explore structural correlations of strongly asymmetric mixtures of binary charged colloids within the primitive model of electrolytes considering large charge and size ratios of 10 and higher. Using computer simulations with explicit…

Soft Condensed Matter · Physics 2022-07-13 Elshad Allahyarov , Hartmut Löwen , Alan Denton

In quantum chemistry, one of the most important challenges is the static correlation problem when solving the electronic Schr\"odinger equation for molecules in the Born--Oppenheimer approximation. In this article, we analyze the tailored…

Numerical Analysis · Mathematics 2019-11-21 Fabian M. Faulstich , Andre Laestadius , Örs Legeza , Reinhold Schneider , Simen Kvaal
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