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We consider an osmotic equilibrium between bulk solutions of polyelectrolyte bounded by semipermeable membranes and separated by a thin film of salt-free liquid. Although the membranes are neutral, the counter-ions of the polyelectrolyte…

Soft Condensed Matter · Physics 2012-01-19 Olga I. Vinogradova , Lyderic Bocquet , Artem N. Bogdanov , Roumen Tsekov , Vladimir Lobaskin

A theory is presented which allows us to accurately calculate the density profile of monovalent and multivalent counterions in suspensions of polarizable colloids or nano-particles. In the case of monovalent ions, we derive a weak-coupling…

Soft Condensed Matter · Physics 2011-09-23 Amin Bakhshandeh , Alexandre Pereira dos Santos , Yan Levin

We consider equilibrium statistical mechanics of a simplified model for the ideal conductor electrode in an interface contact with a classical semi-infinite electrolyte, modeled by the two-dimensional Coulomb gas of pointlike $\pm$ unit…

Statistical Mechanics · Physics 2009-11-11 L. Samaj , Z. Bajnok

A self-consistent theory of bulk electrolytes incorporating electrostatic and hard-core interactions on an equal level is applied to the two-dimensional Coulomb liquid with finite ion size. The ionic pair distributions, the structure…

Soft Condensed Matter · Physics 2026-04-10 Sahin Buyukdagli

The charge distribution at the interface between two electrolytes is studied for the case of non-vanishing ion fluxes. The analysis is an extension of the established Verwey-Niessen theory to non-equilibrium situations. Applying matched…

Soft Condensed Matter · Physics 2011-05-03 Steffen Hardt , Tobias Baier

The discharge structure of inductively coupled plasma is studied via fluid simulation and analytic theory collaboration. At low pressure, the discharge is stratified by the double layer, which is modelled as dipole moment. The parabolic…

Plasma Physics · Physics 2021-11-04 Shu-Xia Zhao , An-Qi Tang

Using the specific model of a system of like charged ions confined between two planar like charged surfaces, we compare the predictions for the energy and density profile of four simulation methods available to treat the long range Coulomb…

Statistical Mechanics · Physics 2007-05-23 M. Mazars , J-M. Caillol , J. -J. Weis , D. Levesque

We study the charge-density dynamics within the two-dimensional extended Hubbard model in the presence of long-range Coulomb interaction across the metal-insulator transition point. To take into account strong correlations we start from…

Strongly Correlated Electrons · Physics 2014-12-24 E. G. C. P. van Loon , H. Hafermann , A. I. Lichtenstein , A. N. Rubtsov , M. I. Katsnelson

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

We investigate spherical macroions in the strong Coulomb coupling regime within the primitive model in salt-free environment. We first show that the ground state of an isolated colloid is naturally overcharged by simple electrostatic…

Soft Condensed Matter · Physics 2016-08-16 René Messina , Christian Holm , Kurt Kremer

A charge conserving approximation scheme determining the excitations of crystalline solids is proposed. Like other such approximations, it relies on "downfolding" of the original microscopic model to a simpler electronic model on the…

Strongly Correlated Electrons · Physics 2018-10-24 Baruch Rosenstein , Dingping Li

We develop a computational method for modeling electrostatic interactions of arbitrarily-shaped, polarizable objects on colloidal length scales, including colloids/nanoparticles, polymers, and surfactants, dispersed in explicit ion…

Soft Condensed Matter · Physics 2024-06-18 Emily Krucker-Velasquez , James W. Swan , Zachary Sherman

Particle-particle correlation functions in ionic systems control many of their macroscopic properties. In this work, we use stochastic density functional theory to compute these correlations, and then we analyze their long-range behavior.…

Statistical Mechanics · Physics 2025-02-05 Haggai Bonneau , Vincent Démery , Elie Raphaël

In the present work, we have extended a weak coupling theory [A. Bakhshandeh, A. P. dos Santos and Y. Levin Phys. Rev. Lett 107, 107801 (2011)] for systems with added 1:1 electrolyte. To study the accuracy of the developed theory, we…

Soft Condensed Matter · Physics 2020-08-18 Amin Bakhshandeh

We present two successive mean-field approximations for describing the mechanical properties and the swelling equilibrium of polyelectrolyte gels in contact with a salt solution. The first mean-field approximation reduces the many-chain…

Soft Condensed Matter · Physics 2019-11-22 Jonas Landsgesell , Christian Holm

Ionic microgels are soft colloidal particles, composed of crosslinked polymer networks, that ionize and swell when dispersed in a good solvent. Swelling of these permeable, compressible particles involves a balance of electrostatic,…

Soft Condensed Matter · Physics 2020-01-29 Alan R. Denton , Mohammed O. Alziyadi

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

An extension of the renormalized Jellium model which allows to study colloidal suspensions containing trivalent counterions is proposed. The theory is based on a modified Poisson-Boltzmann equation which incorporates the effects of…

Soft Condensed Matter · Physics 2012-03-26 Thiago E. Colla , Yan Levin

Describing analytically the transport properties of electrolytes, such as their conductivity or the self-diffusion of the ions, has been a central challenge of chemical physics for almost a century. In recent years, this question has…

Soft Condensed Matter · Physics 2023-09-21 Olivier Bernard , Marie Jardat , Benjamin Rotenberg , Pierre Illien

In order to find the exact form of the electrostatic interaction between two proteins with dissociable charge groups in aqueous solution, we have studied a model system composed of two macroscopic surfaces with charge dissociation sites…

Chemical Physics · Physics 2014-05-16 Natasa Adzic , Rudolf Podgornik