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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

We derive effective interaction potentials between hard, spherical colloidal particles and star-branched polyelectrolytes of various functionalities and smaller size than the colloids. The effective interactions are based on a…

Soft Condensed Matter · Physics 2007-05-23 M. Konieczny , C. N. Likos

We study the nucleation of nearly-hard charged colloidal particles. We use Monte Carlo simulations in combination with free-energy calculations to accurately predict the phase diagrams of these particles and map them via the freezing…

Soft Condensed Matter · Physics 2024-06-12 Marjolein de Jager , Laura Filion

An expression is derived within the framework of the Debye-H\"uckel approximation for the screening length of a field in a p-type semiconductor taking into account the energy spread of immobile acceptor levels and the density of states tail…

Materials Science · Physics 2014-07-21 N. A. Poklonski

We compute the phase diagram of salt-free polyelectrolyte solutions using a modified Debye-Huckel Approach. We introduce the chain connectivity via the Random Phase Approximation with two important modifications. We modify the electrostatic…

Condensed Matter · Physics 2009-11-07 A. V. Ermoshkin , M. Olvera de la Cruz

We investigate the equilibrium charge distribution along a single annealed polyelectrolyte chain under different conditions. The coupling between the conformation of the chain and the local charge distribution is described for various…

Soft Condensed Matter · Physics 2019-08-17 Martin Castelnovo , Pierre Sens , Jean-Francois Joanny

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

We investigate the electrostatics of a partially formed, charged spherical shell in a salt solution. We solve the problem numerically at the Poisson-Boltzmann level and analytically in the Debye-Huckel regime. From the results on energetics…

Biological Physics · Physics 2011-04-26 Anze Losdorfer Bozic , Antonio Siber , Rudolf Podgornik

The thermodynamics of a charge-asymmetric lattice gas of positive ions carrying charge $q$ and negative ions with charge $-zq$ is investigated using Debye-H\"uckel theory. Explicit analytic and numerical calculations, which take into…

Statistical Mechanics · Physics 2009-11-07 Maxim N. Artyomov , Vladimir Kobelev , Anatoly B. Kolomeisky

We formulate an extension of the Debye-Hueckel-Bjerrum theory [M. E. Fisher and Y. Levin, Phys. Rev. Lett. 71, 3826 (1993)] to the fluid state of a highly asymmetric charged colloid. Allowing for the formation of clusters consisting of one…

Soft Condensed Matter · Physics 2015-06-25 M. N. Tamashiro , Yan Levin , Marcia C. Barbosa

The paper presents a mean field theory of electrolyte solutions, extending the classical Debye-H\"{u}ckel-Onsager theory to provide a detailed description of the electrical conductivity in strong electrolyte solutions. The theory…

Soft Condensed Matter · Physics 2024-09-27 N. N. Kalikin , Yu. A. Budkov

In this work we attempt to show in a clear and simple manner the fundamental ideas of the Renormalization Theory. With that intention we use two well-known problems of the Physic and Engeneering undergraduate students, the calculation of…

Physics Education · Physics 2007-05-23 Wesley Spalenza , J. Alexandre Nogueira

We test the concepts of renormalized charge and potential saturation, introduced within the framework of highly asymmetric Coulomb mixtures, on exactly solvable Coulomb models. The object of study is the average electrostatic potential…

Statistical Mechanics · Physics 2016-08-31 L. Samaj

We present several aspects of the screening of charged macromolecules in an electrolyte. After a review of the basic mean field approach, based on the linear Debye-Huckel theory, we consider the case of highly charged macromolecules, where…

Soft Condensed Matter · Physics 2012-04-27 Gabriel Tellez

The purpose of these notes is to provide a pedagogical introduction to the concept of renormalization in atomic physics. We study quantum dynamics of a model of a nonrelativistic single electron atom coupled to the quantum radiation field…

Quantum Physics · Physics 2022-04-07 Milan Šindelka

We use a reactive Monte Carlo simulation method and primitive model of electrolyte to study acid-base equilibrium that controls charge regulation in colloidal systems. The simulations are performed in a semi-grand canonical ensemble in…

Soft Condensed Matter · Physics 2021-12-21 Amin Bakhshandeh , Derek Frydel , Yan Levin

The renormalized charge of a simple two-dimensional model of colloidal suspension was determined by solving the hypernetted chain approximation and Ornstein-Zernike equations. At the infinite dilution limit, the asymptotic behavior of the…

Soft Condensed Matter · Physics 2009-03-19 Manuel Camargo , Gabriel Tellez

Electrostatic interactions between point charges embedded into interfaces separating dielectric media are omnipresent in soft matter systems and often control their stability. Such interactions are typically complicated and do not resemble…

Soft Condensed Matter · Physics 2020-09-09 Alexander Morozov , Iain Muntz , Job H. J. Thijssen , Davide Marenduzzo

Molecular Dynamics simulations are used to study the effective interactions in charged stabilized colloidal suspensions. For not too high macroion charges and sufficiently large screening, the concept of the potential of mean force is known…

Soft Condensed Matter · Physics 2009-11-11 T. Kreer , J. Horbach , A. Chatterji

Interactions between charged colloidal particles are profoundly influenced by charge regulation and charge renormalization, rendering the effective potential highly sensitive to local particle density. In this work, we investigate how a…

Soft Condensed Matter · Physics 2025-11-10 Laura Jansen , Thijs ter Rele , Marjolein Dijkstra