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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

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

We present a generalization of the Debye-H\"uckel free-energy-density functional of simple fluids to the case of two-component systems with arbitrary interaction potentials. It allows one to obtain the two-component Debye-H\"uckel integral…

Plasma Physics · Physics 2018-10-24 T. Blenski , R. Piron

The Debye-H\"uckel approximation to the free-energy of a simple fluid is written as a functional of the pair correlation function. This functional can be seen as the Debye-H\"uckel equivalent to the functional derived in the hyper-netted…

Plasma Physics · Physics 2016-12-28 R. Piron , T. Blenski

The Debye-H\"uckel equation is a fundamental physical model in chemical thermodynamics that describes the free energy (chemical potential, activity) of an ion in electrolyte solutions at variable salt concentration, temperature, and…

Chemical Physics · Physics 2018-11-14 Chin-Lung Li , Jinn-Liang Liu

The Debye-H\" uckel formula for ionic activity coefficients is extended for concentrated solutions by solving a simple model of many-body Coulomb correlations and adding the Born solvation energy. Given the bulk permittivity, our formula is…

Chemical Physics · Physics 2017-09-12 Sven Schlumpberger , Martin Z. Bazant

We study the interactions between two negatively charged macroscopic surfaces confining positive counterions. A density-functional approach is introduced which, besides the usual mean-field interactions, takes into account the correlations…

Soft Condensed Matter · Physics 2015-06-25 A. Diehl , M. N. Tamashiro , Marcia C. Barbosa , Yan Levin

A density functional theory for a macroion suspension is examined, where the excess free energy corresponds to the macroion self energy arising from the polarisation of the supporting electrolyte solution. This is treated within a…

Soft Condensed Matter · Physics 2007-05-23 Patrick B. Warren

We derive a set of modified Poisson-Nernst-Planck (mPNP) equations for ion transport from the variation of the free energy functional which includes the many-body Coulomb correlation in media of variable dielectric coefficient. The…

Computational Physics · Physics 2017-08-22 Pei Liu , Xia Ji , Zhenli Xu

Hot, dense plasmas exhibit screened Coulomb interactions, resulting from the collective effects of correlated many-particle interactions. In the lowest particle correlation order (pair-wise correlations), the interaction between charged…

Atomic Physics · Physics 2016-11-29 R. K. Janev , Song Bin Zhang , Jian Guo Wang

We develop a modified Poisson-Nernst-Planck model which includes both the long-range Coulomb and short-range hard-sphere correlations in its free energy functional such that the model can accurately describe the ion transport in complex…

Computational Physics · Physics 2021-05-21 Manman Ma , Zhenli Xu , Liwei Zhang

We develop analytic approximations of thermodynamic functions of fully ionized nonideal electron-ion plasma mixtures. In the regime of strong Coulomb coupling, we use our previously developed analytic approximations for the free energy of…

Plasma Physics · Physics 2009-02-12 A. Y. Potekhin , G. Chabrier , F. J. Rogers

Thermodynamics of two-dimensional Yukawa (screened Coulomb or Debye-H\"uckel) systems is studied systematically using molecular dynamics (MD) simulations. Simulations cover very broad parameter range spanning from weakly coupled gaseous…

Plasma Physics · Physics 2017-04-05 Nikita Kryuchkov , Sergey Khrapak , Stanislav Yurchenko

Electrostatic correlations and variable permittivity of electrolytes are essential for exploring many chemical and physical properties of interfaces in aqueous solutions. We propose a continuum electrostatic model for the treatment of these…

Soft Condensed Matter · Physics 2015-06-23 Manman Ma , Zhenli Xu

Interparticle interactions in charge-stabilized colloidal suspensions, of arbitrary salt concentration, are described at the level of effective interactions in an equivalent one-component system. Integrating out from the partition function…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

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

The lattice fluid model of the system with short range and long range Coulomb interactions is suggested. In the framework of the collective variables method, the screening of the Coulomb interactions in the bulk is considered. It is shown…

Other Condensed Matter · Physics 2019-01-24 George Bokun , Dung di Caprio , Myroslav Holovko , Vyacheslav Vikhrenko

In this thesis, the electrostatic interaction between two chemically identical colloids, both carrying constant surface potential is studied in the limit of short inter-particle separation at the interface of two immiscible fluids. Using an…

Soft Condensed Matter · Physics 2020-01-01 Rick Bebon

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

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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