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Related papers: Variational charge renormalization in charged syst…

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Charge regulation is an important aspect of electrostatics in biological and colloidal systems, where the charges are generally not fixed, but depend on the environmental variables. Here, we analyze the charge regulation mechanism in…

Soft Condensed Matter · Physics 2018-08-01 Anže Lošdorfer Božič , Rudolf Podgornik

We studied polyelectrolyte adsorption on a repulsive charged surface by scaling analysis. At low ionic strength and low surface charge density in which a single polyelectrolyte is able to be adsorbed onto the surface, different regimes in…

Soft Condensed Matter · Physics 2016-08-31 Chi-Ho Cheng , Pik-Yin Lai

Screening of a macroion such as a charged solid particle, a charged membrane, double helix DNA or actin by multivalent counterions is considered. Small colloidal particles, charged micelles, short or long polyelectrolytes can play the role…

Soft Condensed Matter · Physics 2009-10-31 T. T. Nguyen , A. Yu. Grosberg , B. I. Shklovskii

The electrostatic potential of a highly charged disc (clay platelet) in an electrolyte is investigated in detail. The corresponding non-linear Poisson-Boltzmann (PB) equation is solved numerically, and we show that the far-field behaviour…

Soft Condensed Matter · Physics 2009-11-10 R. Agra , E. Trizac , L. Bocquet

This work is concerned with the stationary Poisson--Nernst--Planck equation with a large parameter which describes a huge number of ions occupying an electrolytic region. Firstly, we focus on the model with a single specie of positive…

Analysis of PDEs · Mathematics 2023-11-20 Jhih-Hong Lyu , Chiun-Chang Lee , Tai-Chia Lin

We study how a neutralising cloud of counterions screens the electric field of a uniformly charged planar membrane plate, when the counterions are characterised by a distribution of charges (or valence), $n(q)$. We work out analytically the…

Statistical Mechanics · Physics 2018-01-08 M. Trulsson , E. Trizac , L. Samaj

We study equilibrium statistical mechanics of classical point counter-ions, formulated on 2D Euclidean space with logarithmic Coulomb interactions (infinite number of particles) or on the cylinder surface (finite particle numbers), in the…

Soft Condensed Matter · Physics 2011-03-08 L. Samaj , E. Trizac

The charging and dissolution of mineral surfaces in contact with flowing liquids are ubiquitous in nature, as most minerals in water spontaneously acquire charge and dissolve. Mineral dissolution has been studied extensively under…

Soft Condensed Matter · Physics 2021-07-20 Patrick Ober , Willem Boon , Marjolein Dijkstra , Ellen Backus , René van Roij , Mischa Bonn

While important for many industrial applications, chemical reactions responsible for charging of solids in water are often poorly understood. We theoretically investigate the charging kinetics of solid-liquid interfaces, and find that the…

Soft Condensed Matter · Physics 2023-02-08 Willem Boon , Marjolein Dijkstra , René van Roij

We study the linear stability of transient electrodeposition in a charged random porous medium, whose pore surface charges can be of any sign, flanked by a pair of planar metal electrodes. Discretization of the linear stability problem…

Chemical Physics · Physics 2019-07-09 Edwin Khoo , Hongbo Zhao , Martin Z. Bazant

We introduce the Poisson-Boltzmann cell model for spherical colloidal particles with a heterogeneous surface charge distribution. This model is obtained by generalizing existing cell models for mixtures of homogeneously charged colloidal…

Soft Condensed Matter · Physics 2015-05-13 Eelco Eggen , René van Roij

We investigate the complexation of a highly charged sphere with a long flexible polyelectrolyte, \textit{both negatively charged} in salt free environment. Electroneutrality is insured by the presence of divalent counterions. Using…

Soft Condensed Matter · Physics 2007-05-23 Rene Messina , Christian Holm , Kurt Kremer

The interaction between charged bodies in an ionic solution is a general problem in colloid physics and becomes a central topic in the study of biological systems where the electrostatic interaction between proteins, nucleic acids,…

Soft Condensed Matter · Physics 2015-05-13 Fabien Paillusson , Maria Barbi , Jean-Marc Victor

We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Fuchs , J. Gegelia , G. Japaridze , S. Scherer

We present an approach to electronic polarization in molecular solids treated as a set of quantum systems interacting classically. Individual molecules are dealt with rigorously as quantum-mechanical systems subject to classical external…

Condensed Matter · Physics 2009-11-07 E. V. Tsiper , Z. G. Soos

We study the response of a model micro-electrochemical cell to a large ac voltage of frequency comparable to the inverse cell relaxation time. To bring out the basic physics, we consider the simplest possible model of a symmetric binary…

Fluid Dynamics · Physics 2013-12-12 Laurits H. Olesen , Martin Z. Bazant , Henrik Bruus

The rapid and efficient exchange of ions between porous electrodes and aqueous solutions is important in many applications, such as electrical energy storage by super-capacitors, water desalination and purification by capacitive…

Chemical Physics · Physics 2015-05-14 P. M. Biesheuvel , M. Z. Bazant

Salt transport in bulk electrolytes is limited by diffusion and convection, but in microstructures with charged surfaces (e.g. microfluidic devices, porous media, soils, or biological tissues) surface conduction and electro-osmotic flow…

Fluid Dynamics · Physics 2015-05-30 Ali Mani , Martin Z. Bazant

The Pauli--Villars regularization procedure confirms and sharpens the conclusions reached previously by covariant point splitting. The divergences in the stress tensor of a quantized scalar field interacting with a static scalar potential…

High Energy Physics - Theory · Physics 2018-03-07 S. A. Fulling , T. E. Settlemyre , K. A. Milton

We present a model for the ion distribution near a charged surface, based on the response of the ions to the presence of a single test particle. Near an infinite planar surface this model produces the exact density profile in the limits of…

Soft Condensed Matter · Physics 2009-11-10 Y. Burak , D. Andelman , H. Orland