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Using new scaling parameters $\beta_i$, we derive simple expressions for the excess thermodynamic properties of the Mean Spherical Approximation (MSA) for the ion-dipole mixture. For the MSA and its extensions we have shown that the…

Statistical Mechanics · Physics 2009-11-07 L. Blum

The mean spherical approximation (MSA) is a closure relation for pair correlation functions (two-point functions) in statistical physics. It can be applied to a wide range of systems, is computationally fairly inexpensive, and when properly…

High Energy Physics - Theory · Physics 2016-11-07 Arturo Amador , Johan Skule Høye , Kåre Olaussen

Ion mixtures require an exclusion core to avoid collapse. The Debye Hueckel theory, where ions are point charges, is accurate only in the limit of infinite dilution. The MSA is the embedding of hard cores into DH, is valid for higher…

Soft Condensed Matter · Physics 2007-07-23 L. Blum , D. V. Perez Veloz

In this paper we extend the familiar continuum electrostatic model with a perturbation to the usual macroscopic boundary condition. The perturbation is based on the mean spherical approximation (MSA), to derive a multiscale hydration-shell…

Numerical Analysis · Mathematics 2016-07-15 Amirhossein Molavi Tabrizi , Matthew G. Knepley , Jaydeep P. Bardhan

We present a closed analytical formula for the scattering intensity from charged hard sphere fluids with any arbitrary number of components. Our result is an extension to ionic systems of Vrij's analogous expression for uncharged hard…

Statistical Mechanics · Physics 2009-10-30 Domenico Gazzillo , Achille Giacometti , Flavio Carsughi

We study fluid-fluid equilibrium in the simplest model of ionic solutions where the solvent is explicitly included, i.e., a binary mixture consisting of a restricted primitive model (RPM) and neutral hard-spheres (RPM-HS mixture). First,…

Soft Condensed Matter · Physics 2019-01-25 O. V. Patsahan , T. M. Patsahan

The solution of the mean spherical approximation (MSA) integral equation for isotropic multicomponent dipolar hard sphere fluids without external fields is used to construct a density functional theory (DFT), which includes external fields,…

Statistical Mechanics · Physics 2015-05-28 I. Szalai , S. Dietrich

A baryonic chemical potential is included in the linear sigma model at finite temperature. The effective mesonic potential is numerically calculated using the midpoint technique. The meson masses are investigated as functions of the…

High Energy Physics - Phenomenology · Physics 2014-03-14 M. Abu-Shady

A detailed comparison between the Boubl\'ik-Mansoori-Carnahan-Starling-Leland (BMCSL)equation of state of hard-sphere mixtures is made with Molecular Dynamics (MD) simulations of the same compositions. The Lab\'ik and Smith simulation…

Soft Condensed Matter · Physics 2018-06-08 David M. Heyes , 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 definition of the fundamental quantity, the chemical potential, is badly confused in the literature: there are at least three distinct definitions in various books and papers. While they all give the same result in the thermodynamic…

Statistical Mechanics · Physics 2007-05-23 T. A. Kaplan

We propose several versions of primitive models of room temperature ionic liquids (RTILs) and develop a mean spherical approximation (MSA)-type theory for their description. RTIL is modeled as a two-component mixture of hard-sphere anions…

Soft Condensed Matter · Physics 2019-01-29 Y. V. Kalyuzhnyi , J. Rescic , M. Holovko , P. T. Cummings

The primitive model describes ions by point charges with an additional hard-core interaction. In classical density-functional theory the mean-field electrostatic contribution can be obtained from the first order of a functional perturbation…

Soft Condensed Matter · Physics 2022-04-06 Moritz Bültmann , Andreas Härtel

We derive a new formulation to calculate the excess chemical potential of a fraction of $N_1$ particles interacting with $N_2$ particles of a different species. The excess chemical potential is calculated numerically from first principles…

Astrophysics · Physics 2008-11-26 Christophe Winisdoerffer , Gilles Chabrier , Gilles Zérah

A new scheme for constructing approximate effective electron potentials within density-functional theory is proposed. The scheme consists of calculating the effective potential for a series of reference systems, and then using these…

Condensed Matter · Physics 2016-08-14 K. Stokbro , N. Chetty , K. W. Jacobsen , J. K. Nørskov

Recent molecular simulation and integral equation results alkali-halide ion pair potentials-of-mean-force in water are discussed. Dielectric model calculations are implemented to check that these models produce that characteristic structure…

chem-ph · Physics 2008-02-03 Lawrence R. Pratt , Gerhard Hummer , Angel E. Garcia

The results for the electrical double layer capacitance and the charge density of ``free ions'' obtained from the mesoscopic theory are compared with the corresponding results of the associative mean spherical approximation. While the first…

Statistical Mechanics · Physics 2026-02-27 O. Patsahan

In the recent work of S. Sharma \emph{et al.}, (arxiv.org: arxiv:0912.1118), a single-electron spectrum associated with the natural orbitals was defined as the derivative of the total energy with respect to the occupation numbers at half…

Chemical Physics · Physics 2012-03-07 E. N. Zarkadoula , S. Sharma , J. K. Dewhurst , E. K. U. Gross , N. N. Lathiotakis

This paper is devoted to the homogenization (or upscaling) of a system of partial differential equations describing the non-ideal transport of a N-component electrolyte in a dilute Newtonian solvent through a rigid porous medium. Realistic…

Analysis of PDEs · Mathematics 2014-10-14 Gregoire Allaire , Robert Brizzi , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski

A versatile semiclassical approximation for intense laser-atom processes is presented. This uniform approximation is no more complicated than the frequently-used multi-dimensional saddle-point approximation and far superior, since it…

Atomic Physics · Physics 2016-09-08 C. Figueira de Morisson Faria , H. Schomerus , W. Becker
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