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We review recent advances in the physics of strongly interacting charged systems functioning in water at room temperature. We concentrate on the phenomena which go beyond the framework of mean field theories, whether linear Debye-Huckel or…

Soft Condensed Matter · Physics 2007-05-23 A. Yu. Grosberg , T. T. Nguyen , B. I. Shklovskii

The effects of discrete macroion surface charge distribution and valences of these surface charges and counterions on charge reversal have been studied for macroions of three different geometries and compared with those of continuous…

Biological Physics · Physics 2008-07-25 Arup K. Mukherjee

Two main approaches in particle-based simulations for modeling a charged surface are using explicit, discrete charges and continuum, uniform charges. It is well-known that these two approaches could lead to substantially distinct ionic…

Soft Condensed Matter · Physics 2022-08-02 Jiaxing Yuan , Yanwei Wang

The classical Poisson-Boltzmann (PB) theory of electrolytes assumes a dilute solution of point charges with mean-field electrostatic forces. Even for very dilute solutions, however, it predicts absurdly large ion concentrations (exceeding…

Chemical Physics · Physics 2007-05-23 Mustafa Sabri Kilic , Martin Z. Bazant , Armand Ajdari

The problem of the equilibrium state of the charged many-particle system above dielectric surface is formulated.We consider the case of the presence of the external attractive pressing field and the case of its absence. The equilibrium…

Statistical Mechanics · Physics 2009-05-21 Dmytro M. Lytvynenko , Yuriy V. Slyusarenko

A model for ionic solutions with an attractive short-range pair interaction between the ions is presented. The short-range interaction is accounted for by adding a quadratic non-local term to the Poisson-Boltzmann free energy. The model is…

Soft Condensed Matter · Physics 2009-10-31 Yoram Burak , David Andelman

The electrostatic double layer force is key to determining the stability and self-assembly of charged colloids and many other soft matter systems. Fully understanding the attractive force between two like-charged surfaces remains a great…

Soft Condensed Matter · Physics 2024-02-27 Nikhil R. Agrawal , Ravtej Kaur , Carlo Carraro , Rui Wang

The Poisson Boltzmann equation is known for its success in describing the Debye layer that arises from the charge separation phenomenon at the silica/water interface. However, by treating only the mobile ionic charges in the liquid, the…

Soft Condensed Matter · Physics 2019-07-30 Maijia Liao , Li Wan , Shixin Xu , Chun Liu , Ping Sheng

We have performed molecular dynamics simulations to study the effect of an external electric field on a macroion in the solution of multivalent Z:1 salt. To obtain plausible hydrodynamics of the medium, we explicitly make the simulation of…

Soft Condensed Matter · Physics 2009-11-07 Motohiko Tanaka , A. Yu. Grosberg

Although significant insights have been obtained into chemical and physical properties that govern to the performance of catalysts in traditional thermal processes, the work on electro-, photo-, or plasma-catalytic approaches has been…

Chemical Physics · Physics 2021-04-20 Kristof M. Bal , Stijn Huygh , Erik C. Neyts

We present a new analytical approach to the strong electrostatic coupling regime (SC), that can be achieved equivalently at low temperatures, high charges, low dielectric permittivity etc. Two geometries are analyzed in detail: one charged…

Statistical Mechanics · Physics 2015-06-03 L. Šamaj , E. Trizac

We study the electric double layer near a charged soft surface by using a mean-field approach including non-uniform size effect and solvent polarization. Based on a free energy model, electrostatic potential and number densities of water…

Soft Condensed Matter · Physics 2022-02-10 Jun-Sik Sin , Nam-Hyok Kim , Chung-Sik Sin

Adsorption of multivalent counterions on the charged surface of a macroion is known to lead to inversion of the macroion charge due to the strong lateral correlations of counterions. We consider a nontrivial role of the excluded volume of…

Soft Condensed Matter · Physics 2009-11-07 Toan T. Nguyen , Boris I. Shklovskii

We study a two-dimensional model for a long cylindrical stiff charged macroion immersed in a charge-asymmetric electrolyte with charge ratio +2/-1. The model is integrable and it allows an exact analytical determination of the effective…

Soft Condensed Matter · Physics 2007-05-23 Gabriel Tellez

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $\sigma$ and the ionic…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

We revisit the charge-regulation mechanism of macro-ions and apply it to mobile macro-ions in a bathing salt solution. In particular, we examine the effects of correlation between various adsorption/desorption sites and analyze the…

Soft Condensed Matter · Physics 2018-08-01 Yael Avni , David Andelman , Tomer Markovich , Rudi Podgornik

Discussed in the paper is a mixed scenario of the charged liquid surface reconstruction in the situation where the 2D surface charge density is close to its saturation value.

Soft Condensed Matter · Physics 2008-12-12 V. Shikin , E. Klinovya

We investigate spherical macroions in the strong Coulomb coupling regime within the primitive model in salt-free environment. Molecular dynamics (MD) simulations are used to elucidate the effect of $discrete$ macroion charge distribution on…

Soft Condensed Matter · Physics 2009-11-07 Rene Messina , Christian Holm , Kurt Kremer

A recently proposed renormalization scheme can be used to deal with nonrelativistic potential scattering exhibiting ultraviolet divergence in momentum space. A numerical application of this scheme is made in the case of potential scattering…

High Energy Physics - Theory · Physics 2012-08-27 C. F. de Araujo, , L. Tomio , S. K. Adhikari , T. Frederico

We study the problem of charge regulation and its effects on electrostatic interactions between dissociable charge groups immersed in a univalent electrolyte, within a family of one dimensional exactly solvable models. We consider the case…

Soft Condensed Matter · Physics 2015-06-23 A. C. Maggs , R. Podgornik