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Polyelectrolyte (PE) brushes are widely used in biomaterials and nanotechnology to regulate surface properties and interactions. Here, we apply the electrostatic correlation augmented self-consistent field theory to investigate the…

Soft Condensed Matter · Physics 2024-08-16 Chao Duan , Rui Wang

We study the reentrant condensation of polyelectrolytes in dilute solutions of small multivalent salts, whose phase-transition mechanism remains poorly understood. Motivated by recent full atomic simulation results reported by the Caltech…

Soft Condensed Matter · Physics 2024-05-13 Huaisong Yong , Bilin Zhuang , Sissi de Beer

We study discrete solvent effects on the interaction of two parallel charged surfaces in ionic aqueous solution. These effects are taken into account by adding a bilinear non-local term to the free energy of Poisson-Boltzmann theory. We…

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

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

Soft Condensed Matter · Physics 2017-10-17 Timo Schmetzer

An interacting bilayer electron system provides an extended platform to study electron-electron interaction beyond single layers. We report here experiments demonstrating that the layer densities of an asymmetric bilayer electron system…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 H. Deng , Y. Liu , I. Jo , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We report molecular dynamics simulation of the (overall neutral) system consisting of an immobile macroion surrounded by the electrolyte of multivalent counterions and monovalent coions. As expected theoretically, counterions adsorb on the…

Soft Condensed Matter · Physics 2009-11-07 Motohiko Tanaka , Alexander Grosberg

New ways to treat electron correlation in electronic structure problems are discussed in the context of many-electron theory. The present work focuses primarily on static correlation. In related work, a method for including dynamical…

Chemical Physics · Physics 2018-09-05 Jerry L. Whitten

We present a theoretical description of the effect of polyvalent ions on the interaction between titratable macro-ions. The model system consists of two point-like macro-ions with dissociable sites, immersed in an asymmetric ionic mixture…

Biological Physics · Physics 2016-06-22 Natasa Adzic , Rudolf Podgornik

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

Mean-field theories claim that the capacitance of the double-layer formed at a metal/ionic conductor interface cannot be larger than that of the Helmholtz capacitor, whose width is equal to the radius of an ion. However, in some experiments…

Soft Condensed Matter · Physics 2015-03-17 M. S. Loth , Brian Skinner , B. I. Shklovskii

Recent experiments (F.H.J. Van Der Heyden et al., PRL 96, 224502 (2006)) of streaming currents in silica nanochannels with divalent ions report charge inversion, i.e. interfacial charges attracting counterions in excess of their own nominal…

Materials Science · Physics 2007-06-26 Christian D. Lorenz , Alex Travesset

The contact value of the charge profile for nonsymmetrical electrolytes is presented as the sum of three contributions. One of them is the normal component of the Maxwell electrostatic stress tensor. The second one is the surface…

Statistical Mechanics · Physics 2009-11-13 M. Holovko , D. di Caprio

We analyze the simplest problem of electrochemical relaxation in more than one dimension - the response of an uncharged, ideally polarizable metallic sphere (or cylinder) in a symmetric, binary electrolyte to a uniform electric field. In…

Materials Science · Physics 2009-11-11 Kevin T. Chu , Martin Z. Bazant

We explore the effect of steric interaction on the ionic density distribution near a charged hard wall. For weakly charged walls, small particles, and monovalent ions the mean-field Poisson-Boltzmann equation provides an excellent…

Soft Condensed Matter · Physics 2015-06-05 Derek Frydel , Yan Levin

The self-consistent field theory (SCFT) is used to study the mean potential near a charged plate inside a $m:-n$ electrolyte. A perturbation series is developed in terms of $g = 4 \pi b/\ell_{\rm {\scriptscriptstyle DB}}$, where $b,…

Soft Condensed Matter · Physics 2016-11-09 Mingnan Ding , Bing S. Lu , Xiangjun Xing

Electric double layer (EDL) formation underlies the functioning of supercapacitors and several other electrochemical technologies. Here, we study how the EDL formation near two flat blocking electrodes separated by $2L$ is affected by…

Chemical Physics · Physics 2025-09-23 David Fertig , Mathijs Janssen

We revisit the popular notion of effective or renormalized charge, which is a concept of central importance in the field of highly charged colloidal or polyelectrolyte solutions. Working at the level of a linear Debye-H\"uckel like theory…

Soft Condensed Matter · Physics 2009-11-07 Emmanuel Trizac , Lyderic Bocquet , Miguel Aubouy

A new modified Poisson-Boltzmann equation accounting for the finite size of the ions valid for realistic salt-free concentrated suspensions has been derived, extending the formalism developed for pure salt-free suspensions [Roa et al.,…

Soft Condensed Matter · Physics 2017-09-13 Rafael Roa , Félix Carrique , Emilio Ruiz-Reina

Simulations for the density and potential profiles of the ions in the planar electrical double layer of a model electrolyte or an ionic liquid are reported. The ions of a real electrolyte or an ionic liquid are usually not spheres; in ionic…

Soft Condensed Matter · Physics 2016-03-08 W. Silvestre-Alcantara , L. B. Bhuiyan , S. Lamperski , M. Kaja , D. Henderson

The classical treatment of the electrical double-layer (EDL) structure at a planar metal/electrolyte junction via the Gouy-Chapman-Stern (GCS) approach is based on the Poisson equation relating the electrostatic potential to the net mean…

Applied Physics · Physics 2022-01-11 Anis Allagui , Hachemi Benaoum , Oleg Olendski