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We use the recently developed soft-potential-enhanced Poisson-Boltzmann (SPB) theory to study the interaction between two parallel polyelectrolytes (PEs) in monovalent ionic solutions in the weak-coupling regime. The SPB theory is fitted to…

Soft Condensed Matter · Physics 2022-09-28 Xiang Yang , Alberto Scacchi , Hossein Vahid , Maria Sammalkorpi , Tapio Ala-Nissila

A parallel plate capacitor containing an electrolytic solution is the simplest model of a supercapacitor, or electric double layer capacitor. Using both analytical and numerical techniques, we solve the Poisson-Nernst-Planck equations for…

Soft Condensed Matter · Physics 2025-10-02 Ivan Palaia , Adelchi J. Asta , Megh Dutta , Patrick B. Warren , Benjamin Rotenberg , Emmanuel Trizac

The behavior of a non-conductive quasi-planar lipid membrane in an electrolyte and in a static (DC) electric field is investigated theoretically in the nonlinear (Poisson-Boltzmann) regime. Electrostatic effects due to charges in the…

Soft Condensed Matter · Physics 2015-05-18 Falko Ziebert , David Lacoste

This work explores the use of joint density-functional theory, a new form of density-functional theory for the ab initio description of electronic systems in thermodynamic equilibrium with a liquid environment, to describe electrochemical…

Materials Science · Physics 2015-06-05 Kendra Letchworth-Weaver , T. A. Arias

We consider two charged semipermeable membranes, which bound bulk electrolyte solutions and are separated by a thin film of salt-free liquid. Small counter-ions permeate into the gap, which leads to a steric charge separation in the system.…

Soft Condensed Matter · Physics 2016-11-23 Salim R. Maduar , Olga I. Vinogradova

The behavior of electrolyte solutions close to a charged surface is studied theoretically. A modified Poisson-Boltzmann equation which takes into account the volume excluded by the ions in addition to the electrostatic interactions is…

Soft Condensed Matter · Physics 2007-05-23 I. Borukhov , D. Andelman , H. Orland

The ongoing scientific interest in the properties and structure of electric double layers (EDLs) stems from their pivotal role in (super)capacitive energy storage, energy harvesting, and water treatment technologies. Classical density…

Soft Condensed Matter · Physics 2016-04-28 Andreas Härtel , Sela Samin , Rene van Roij

The general solution to the nonlinear Poisson-Boltzmann equation for two parallel charged plates, either inside a symmetric elecrolyte, or inside a 2q:-q asymmetric electrolyte, is found in terms of Weierstrass elliptic functions. From this…

Classical Physics · Physics 2010-10-26 Xiangjun Xing

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

Electrochemical phenomena in biology often unfold in confined geometries where micrometer- to millimeter-scale domains coexist with nanometer-scale interfacial diffuse charge layers. We analyze a model lipid membrane-electrolyte system…

Soft Condensed Matter · Physics 2025-08-20 Joshua B. Fernandes , Hyeongjoo Row , Kranthi K. Mandadapu , Karthik Shekhar

The modified Poisson-Boltzmann theory of the restricted primitive model double layer is revisited and recast in a fresh, slightly broader perspective. Derivation of relevant equations follow the techniques utilized in the earlier MPB4 and…

Statistical Mechanics · Physics 2017-10-05 L. B. Bhuiyan , C. W. Outhwaite

The contact value theorem was originally derived for Coulomb fluids of mobile charged particles in thermal equilibrium, in the presence of interfaces carrying a {\em uniform} surface charge density and in the absence of dielectric…

Statistical Mechanics · Physics 2025-03-03 Ladislav Šamaj

We show, using extensive Molecular Dynamics simulations, that the dynamics of the electric double layer (EDL) is very much dependent on the wettability of the charged surface on which the EDL develops. For a wetting surface, the dynamics,…

Soft Condensed Matter · Physics 2011-03-08 Laurent Joly , Christophe Ybert , Emmanuel Trizac , Lyderic Bocquet

We report new experimental results on the generation and dynamics of multiple double layers in front of a positively biased electrode immersed in a DP-machine plasma. Depending on the geometry or the dimensions of the electrode, this…

This work investigates two physics-based models that simulate the non-linear partial differential algebraic equations describing an electric double layer supercapacitor. In one model the linear dependence between electrolyte concentration…

Systems and Control · Computer Science 2014-12-09 Ross Drummond , David A. Howey , Stephen R. Duncan

We consider a set of identical mobile point-like charges (counter-ions) confined to a domain with curved hard walls carrying a uniform fixed surface charge density, the system as a whole being electroneutral. Three domain geometries are…

Soft Condensed Matter · Physics 2016-03-24 Ladislav Samaj , E. Trizac

The accurate characterization of electrical double layer properties of nanoparticles is of fundamental importance for optimizing their physicochemical properties for specific biotechnological and biomedical applications. In this article, we…

Chemical Physics · Physics 2017-04-05 Christian Hunley , Marcelo Marucho

Simultaneous $\chi^{2}$ analyses are performed for elastic scattering and fusion cross section data for the $^{12}$C+$^{208}$Pb system at near-Coulomb-barrier energies by using the extended optical model approach in which the polarization…

Nuclear Theory · Physics 2008-11-26 W. Y. So , T. Udagawa , S. W. Hong , B. T. Kim

The background motivation, and some preliminary results, are reported for a recently begun investigation of a potentially important mechanism for electromagnetic radiation from space, Double Layer Radiation (DL-radiation). This type of…

Plasma Physics · Physics 2007-05-23 Nils Brenning , Mark Koepke , Ingvar Axnas , Michael A. Raadu

I derive formulas for the electrostatic potential of a charge in or near a membrane modeled as one or more dielectric slabs lying between two semi-infinite dielectrics. One can use these formulas in Monte Carlo codes to compute the…

Quantitative Methods · Quantitative Biology 2015-05-27 Kevin Cahill
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