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Related papers: Critique of Primitive Model Electrolyte Theories

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Debye-Huckel (DH) theory is extended to treat two-component size- and charge-asymmetric primitive models, focussing primarily on the 1:1 additive hard-sphere electrolyte with, say, negative ion diameters, a--, larger than the positive ion…

Statistical Mechanics · Physics 2009-11-07 Daniel M. Zuckerman , Michael E. Fisher , Stefan Bekiranov

Near-critical thermodynamics in the hard-sphere (1,1) electrolyte is well described, at a classical level, by Debye-Hueckel (DH) theory with (+,-) ion pairing and dipolar-pair-ionic-fluid coupling. But DH-based theories do not address…

Condensed Matter · Physics 2009-10-28 Benjamin P. Lee , Michael E. Fisher

The excess entropy of restricted primitive model electrolytes is calculated using a potential based approach through the symmetric Poisson-Boltzmann and the modified Poisson-Boltzmann theories. The theories are utilized in conjunction with…

Statistical Mechanics · Physics 2025-04-01 S. Lamperski , L. B. Bhuiyan , C. W. Outhwaite , R. Gorniak

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

Inspired by recent experimental observations of anomalously large decay lengths in concentrated electrolytes, we revisit the Restricted Primitive Model (RPM) for an aqueous electrolyte. We investigate the asymptotic decay lengths of the…

Soft Condensed Matter · Physics 2021-04-02 P. Cats , R. Evans , A. Härtel , R. van Roij

Simulations of the Lebowitz length, $\xi_{\text{L}}(T,\rho)$, are reported for t he restricted primitive model hard-core (diameter $a$) 1:1 electrolyte for densi ties $\rho\lesssim 4\rho_c$ and $T_c \lesssim T \lesssim 40T_c$. Finite-size…

Soft Condensed Matter · Physics 2009-11-11 Young C. Kim , Erik Luijten , Michael E. Fisher

Phase separation and criticality are analyzed in $z$:1 charge-asymmetric ionic fluids of equisized hard spheres by generalizing the Debye-H\"{u}ckel approach combined with ionic association, cluster solvation by charged ions, and hard-core…

Statistical Mechanics · Physics 2009-11-10 Jean-Noel Aqua , Shubho Banerjee , Michael E. Fisher

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov

We carry out the calculation of the surface tension for a model electrolyte to first order in a cumulant expansion about a free field theory equivalent to the Debye-H\"uckel approximation. In contrast with previous calculations, the surface…

Soft Condensed Matter · Physics 2015-06-24 D. S. Dean , R. R. Horgan

Meson-antimeson mixing provides the most stringent constraints on baryon- and lepton-number conserving New Physics, probing scales higher than $10^5$ TeV. In the context of the effective theory of weak interactions, these constraints…

High Energy Physics - Phenomenology · Physics 2019-11-04 Luca Silvestrini , Mauro Valli

We derive a Debye-H\"uckel-like model of the electric ion-ion interaction for non-constant dielectric susceptibility, which does not depend on any kind of charging process due to its foundation in the general framework of non-equilibrium…

Chemical Physics · Physics 2025-02-24 Wolfgang Dreyer , Rüdiger Müller

We update our previous work on an analysis of the electroweak data by including new and partly preliminary data available up to the 1996 summer conferences. The new results on the Z partial decay widths into b and c hadrons now offer a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kaoru Hagiwara , Dieter Haidt , Seiji Matsumoto

We study the finite-temperature effective potential of the Minimal Supersymmetric Standard Model, in the limit of only one light Higgs boson. Because of the large top Yukawa coupling, there can be significant differences with respect to the…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. R. Espinosa , M. Quiros , F. Zwirner

A global analysis is performed using the latest data from LEP and SLC. Constraints on the electroweak universal parameters ($S,T,U$) and on the masses of the top quark and Higgs boson within the Standard Model (SM) are investigated. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Seiji Matsumoto

Depending on the Higgs-boson and top-quark masses, $M_H$ and $M_t$, the effective potential of the Standard Model at finite (and zero) temperature can have a deep and unphysical stable minimum $\langle \phi(T)\rangle$ at values of the field…

High Energy Physics - Phenomenology · Physics 2010-04-06 J. R. Espinosa , M. Quiros

A novel integral equations approach is applied for studying ion pairing in the restricted primitive model (RPM) electrolyte, i. e., the three point extension (TPE) to the Ornstein-Zernike integral equations. In the TPE approach, the…

Soft Condensed Matter · Physics 2007-05-23 Felipe Jimenez-Angeles , Rene Messina , Christian Holm , Marcelo Lozada-Cassou

Osmotic coefficients, individual and mean activity coefficients of primitive model electrolyte solutions are computed at different molar concentrations using the symmetric Poisson-Boltzmann and modified Poisson-Boltzmann theories. The…

Statistical Mechanics · Physics 2018-06-27 A. O. Quiñones , L. B. Bhuiyan , C. W. Outhwaite

Structure and thermodynamics in restricted primitive model electrolytes are examined using three recently developed versions of a linear form of the modified Poisson-Boltzmann equation. Analytical expressions for the osmotic coefficient and…

Soft Condensed Matter · Physics 2021-06-28 L. B. Bhuiyan

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

The constant-volume heat capacity, C_V(T, rho), of the restricted primitive model (RPM) electrolyte is considered in the vicinity of its critical point. It is demonstrated that, despite claims, recent simulations for finite systems do not…

Soft Condensed Matter · Physics 2009-10-31 Erik Luijten , Michael E. Fisher , Athanassios Z. Panagiotopoulos
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