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Charged polymer brushes are layers of surface-tethered chains. Experimental systems are frequently strongly charged. Here we calculate phase diagrams for such brushes in terms of salt concentration n_s, grafting density and polymer backbone…

Soft Condensed Matter · Physics 2007-05-23 Ben O'Shaughnessy , Qingbo Yang

We consider counterions in the presence of a single planar surface with a spatially inhomogeneous charge distribution using Monte-Carlo simulations and strong-coupling theory. For high surface charges, multivalent counterions, or pronounced…

Soft Condensed Matter · Physics 2009-11-07 Andre G Moreira , Roland R Netz

Inverse patchy colloids are nano- to micro-scale particles with a surface divided into differently charged regions. This class of colloids combines directional, selective bonding with a relatively simple particle design: owing to the…

Soft Condensed Matter · Physics 2021-01-22 Emanuela Bianchi , Peter D. J. van Oostrum , Christos N. Likos , Gerhard Kahl

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

As an important property of porous membranes, the surface charge property determines many ionic behaviors of nanopores, such as ionic conductance and selectivity. Based on the dependence of electric double layers on bulk concentrations,…

Chemical Physics · Physics 2024-02-08 Jiakun Zhuang , Long Ma , Yinghua Qiu

Nonlinear ionic screening theory for heterogeneously charged spheres is developed in terms of a mode-decomposition of the surface charge. A far-field analysis of the resulting electrostatic potential leads to a natural generalization of…

Soft Condensed Matter · Physics 2009-12-17 N. Boon , E. Carvajal Gallardo , S. Zheng , E. Eggen , M. Dijkstra , R. van Roij

The consequences of source charge and surface modulation are studied within the framework of the Poisson-Boltzmann theory of electrolyte solutions. Through a consideration of various examples, it is found that inherent modulation can lead…

Chemical Physics · Physics 2013-05-29 Jonathan Landy

We apply dynamical mean field theory to study a prototypical model that describes charge ordering in the presence of both electron-lattice interactions and intersite electrostatic repulsion between electrons. We calculate the optical and…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ciuchi , S. Fratini

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

This review explores the number of mean-field constructions for ions whose structure goes beyond the point-charge description, a representation used in the standard Poisson-Boltzmann equation. The exploration is motivated by a body of…

Soft Condensed Matter · Physics 2016-09-05 Derek Frydel

The interaction between an electric field and the electric charges in a material is described by electrostatic screening, which in metallic systems is commonly thought to be confined within a distance of the order of the Thomas-Fermi…

Mesoscale and Nanoscale Physics · Physics 2018-10-29 Erik Piatti , Davide Romanin , Renato S. Gonnelli , Dario Daghero

We consider the problem of sliding motion of a charge-density-wave subject to static disorder within an elastic medium model. Starting with a field-theoretical formulation, which allows exact disorder averaging, we propose a self-consistent…

Disordered Systems and Neural Networks · Physics 2009-10-30 C. R. Werner , U. Eckern

We analyze the properties of a class of improved lattice topological charge density operators, constructed by a smearing-like procedure. By optimizing the choice of the parameters introduced in their definition, we find operators having (i)…

High Energy Physics - Lattice · Physics 2009-10-28 C. Christou , A. Di Giacomo , H. Panagopoulos , E. Vicari

Patchy colloidal platelets with convex, non-spherical shapes have been realized with different materials at length scales ranging from nanometers to microns. While the assembly of these hard shapes tends to maximize edge-to-edge contacts,…

Soft Condensed Matter · Physics 2020-04-22 Carina Karner , Christoph Dellago , Emanuela Bianchi

We demonstrate the role of selectivity variation in the structure of the non-equilibrium extended space-charge using 1D analytic and 2D numerical Poisson-Nernst-Planck models for the electro- diffusive transport of a symmetric electrolyte.…

Soft Condensed Matter · Physics 2015-03-25 Jarrod Schiffbauer , Neta Leibowitz , Gilad Yossifon

We analyze the properties of a class of improved lattice topological charge density operators, constructed by a smearing-like procedure. By optimizing the choice of the parameters introduced in their definition, we find operators having (i)…

High Energy Physics - Lattice · Physics 2009-10-28 C. Christou , A. Di Giacomo , H. Panagopoulos , E. Vicari

A study of the relation between the electrostatic charge density at a point on a conducting surface and the curvature of the surface (at that point) is presented. Two major scientific literature on this topic are reviewed and the apparent…

Classical Physics · Physics 2016-02-18 Kolahal Bhattacharya

We calculate phase diagrams of charged colloidal spheres (valency $Z$ and radius $a$) in a 1:1 electrolyte from multi-centered nonlinear Poisson-Boltzmann theory. Our theory takes into account charge-renormalization of the colloidal…

Soft Condensed Matter · Physics 2007-05-23 Bas Zoetekouw , Rene van Roij

We propose a model for the calculation of renormalized charges and osmotic properties of mixtures of highly charged colloidal particles. The model is a generalization of the cell model and the notion of charge renormalization as introduced…

Soft Condensed Matter · Physics 2009-03-19 Aldemar Torres , Gabriel Tellez , Rene van Roij

Neutral or charged polymers that are densely end-grafted to surfaces form brush-like structures and are highly stretched under good-solvent conditions. We discuss and compare relevant results from scaling models, self-consistent-field…

Soft Condensed Matter · Physics 2007-05-23 Ali Naji , Christian Seidel , Roland R. Netz
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