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Related papers: Towards an analytical theory for charged hard sphe…

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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 Mean Spherical Approximation (MSA) is a commonly-used thermodynamic theory for computing the energetics of ions in the primitive model (i.e., charged hard-sphere ions in a background dielectric). For the excess chemical potential,…

Statistical Mechanics · Physics 2022-08-24 Johan S. Høye , Dirk Gillespie

The Debye-Huckel (DH) formalism of bulk electrolytes equivalent to the gaussian-level closure of the electrostatic Schwinger-Dyson identities without the interionic hard-core (HC) coupling is extended via the cumulant treatment of these…

Soft Condensed Matter · Physics 2024-04-11 Sahin Buyukdagli

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

Based on a Debye-Hueckel approach to the one-component plasma we propose a new free energy for incorporating ionic correlations into Poisson-Boltzmann like theories. Its derivation employs the exclusion of the charged background in the…

Soft Condensed Matter · Physics 2009-10-31 Marcia C. Barbosa , Markus Deserno , Christian Holm

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

Approximate theories for the restricted primitive model electrolyte are compared in the light of Totsuji's lower bound for the energy (an improvement over Onsager's), Gillan's upper bound for the free energy, and thermal stability…

Statistical Mechanics · Physics 2008-02-03 Daniel M. Zuckerman , Michael E. Fisher , Benjamin P. Lee

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

The classical Debye-Huckel (DH) theory clearly accounts for the origin of screening in electrolyte solutions and works rather well for dilute electrolyte solutions. While the Debye screening length decreases with the ion concentration and…

Soft Condensed Matter · Physics 2019-10-30 Ram M. Adar , Samuel A. Safran , Haim Diamant , David Andelman

Near-critical binary mixtures containing ions and confined between two charged and selective surfaces are studied within a Landau-Ginzburg theory extended to include electrostatic interactions. Charge density profiles and the effective…

Soft Condensed Matter · Physics 2012-02-28 Faezeh Pousaneh , Alina Ciach , Anna Maciolek

The conductivity of ionic solutions is arguably their most important trait, being widely used in electrochemical, biochemical, and environmental applications. The Debye-H\"uckel-Onsager theory successfully predicts the conductivity at very…

Soft Condensed Matter · Physics 2023-01-03 Yael Avni , Ram M. Adar , David Andelman , Henri Orland

We analyze the structure of the Fundamental Measure Theory for the free energy density functional of hard sphere mixtures. A comparative study of the different versions of the theory, and other density functional approaches, is done in…

Soft Condensed Matter · Physics 2009-11-07 Jose A. Cuesta , Yuri Martinez-Raton , Pedro Tarazona

The ion sphere model introduced long ago by Salpeter is placed in a rigorous theoretical setting. The leading corrections to this model for very highly charged but dilute ions in thermal equilibrium with a weakly coupled, one-component…

Plasma Physics · Physics 2008-11-26 Lowell S. Brown , David C. Dooling , Dean L. Preston

The analytical solution of the recently proposed ideal chain polymer mean-spherical approximation (Yu.Kalyuzhnyi, Mol.Phys., 94, 735(1998)) is presented for the multicomponent mixture of charged hard-sphere linear chain flexible molecules.…

Condensed Matter · Physics 2009-11-07 Yu. V. Kalyuzhnyi , P. T. Cummings

A new model for the electrical conductivity of dense plasmas with a mixture of ion species, containing no adjustable parameters, is presented. The model takes the temperature, mass density and relative abundances of the species as input. It…

Plasma Physics · Physics 2020-04-22 C. E. Starrett , N. R. Shaffer , D. Saumon , R. Perriot , T. Nelson , L. A. Collins , C. Ticknor

We present a theory for the equilibrium structure of polyelectrolyte solutions. The main element is a simple, new optimization scheme that allows theories such as the random phase approximation (RPA) to handle the harsh repulsive forces…

Soft Condensed Matter · Physics 2009-11-10 James P. Donley , David R. Heine , David T. Wu

The expression for the Debye shielding in plasma physics is usually derived under the assumptions that the plasma particles are weakly coupled, so their kinetic energy is much larger than the potential energy between them, and that the…

Plasma Physics · Physics 2016-12-30 M. A. Martínez-Fuentes , J. J. E. Herrera-Velázquez

We study the counterion distribution around a spherical macroion and its osmotic pressure in the framework of the recently developed Debye-H"uckel-Hole-Cavity (DHHC) theory. This is a local density functional approach which incorporates…

Soft Condensed Matter · Physics 2009-11-10 Marcia C. Barbosa , Markus Deserno , Christian Holm , Rene Messina

We analyze the screening and bulk energy of a classical and strongly interacting plasma of color charges, a model we recently introduced for the description of a quark-gluon plasma at T=(1-3)Tc. The partition function is organized around…

Nuclear Theory · Physics 2008-11-26 Boris A. Gelman , Edward V. Shuryak , Ismail Zahed
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