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The structure of cylindrical double layers is studied using a modified Poisson Boltzmann theory and the density functional approach. In the model double layer, the electrode is a cylindrical polyion that is infinitely long, impenetrable,…

Soft Condensed Matter · Physics 2013-12-18 V. Dorvilien , C. N. Patra , L. B. Bhuiyan , C. W. Outhwaite

We generalized systematically the renormalized mean field theory in the case of uniform states to the unrestricted case of general inhomogeneous states with competing spin-, charge- and superconducting orders. Applying the theory to…

Superconductivity · Physics 2009-11-11 Qiang-Hua Wang , Z. D. Wang , Yan Chen , Fu-Chun Zhang

The ionic adsorption around a weakly charged spherical colloid, immersed in size-asymmetric 1:1 and 2:2 salts, is studied. We use the primitive model of an electrolyte to perform Monte Carlo simulations as well as theoretical calculations…

Soft Condensed Matter · Physics 2008-03-29 G. I. Guerrero-García , E. González-Tovar , M. Chávez-Páez , Marcelo Lozada-Cassou

Sedimentation-diffusion equilibrium density profiles of suspensions of charge-stabilized colloids are calculated theoretically and by Monte Carlo simulation, both for a one-component model of colloidal particles interacting through pairwise…

Soft Condensed Matter · Physics 2013-05-29 Aldemar Torres , Alejandro Cuetos , Marjolein Dijkstra , Rene van Roij

We generalize the inverse patchy colloid model that was originally developed for heterogeneously charged particles with two identical polar patches and an oppositely charged equator to a model that can have a considerably richer surface…

Soft Condensed Matter · Physics 2015-10-28 Monika Stipsitz , Gerhard Kahl , Emanuela Bianchi

We provide explicit lower bounds for the ground-state energy of the renormalized Nelson model in terms of the coupling constant $\alpha$ and the number of particles $N$, uniform in the meson mass and valid even in the massless case. In…

Mathematical Physics · Physics 2017-11-06 Gonzalo A. Bley

A simple, practical model for computing the equilibrium thermodynamics and structure of jellium by classical strong coupling methods is proposed. An effective pair potential and coupling constant are introduced, incorporating the ideal gas,…

Statistical Mechanics · Physics 2016-11-04 Sandipan Dutta , James Dufty

In the classical model of atomic polarizability, atomic charges are displaced by an applied electric field, assuming the electron cloud remains spherically symmetric but with its center shifted from the nucleus, thereby inducing an electric…

Classical Physics · Physics 2025-02-11 O. F. de Alcantara Bonfim

Structural and thermodynamic properties of the model solution containing charged oligomers and the equivalent number of counterions were studied by means of the canonical Monte Carlo simulation technique. The oligomers are represented as…

Soft Condensed Matter · Physics 2012-02-21 T. Sajevic , J. Rescic , V. Vlachy

The behavior of polyelectrolytes and polyampholytes in semi-dilute solutions is investigated theoretically. Various statistical charge distributions along the polyelectrolyte chains are considered: smeared, annealed, permuted and quenched.…

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

We examine the translation and rotation of an uncharged spheroidal colloid in polar solvents (water) near a charged flat surface. We solve the nonlinear Poisson-Boltzmann equation outside of the colloid in two dimensions for all tilt angles…

Soft Condensed Matter · Physics 2019-10-16 Yoav Tsori

In this letter, we study the ground state of two spherical macroions of identical radius, but asymmetric bare charge ((Q_{A}>Q_{B})). Electroneutrality of the system is insured by the presence of the surrounding divalent counterions. Using…

Soft Condensed Matter · Physics 2009-10-31 Rene Messina , Christian Holm , Kurt Kremer

We study the response of a spherical colloid under alternating electric fields (AC-fields) by mesoscopic simulation method, accounting in full for hydrodynamic and electrostatic interactions. We focus on a special case of uncharged…

Soft Condensed Matter · Physics 2013-04-17 Jiajia Zhou , Friederike Schmid

We have investigated a single charged microgel in aqueous solution with a combined simulational model and Poisson-Boltzmann theory. In the simulations we use a coarse-grained charged bead-spring model in a dielectric continuum, with…

Soft Condensed Matter · Physics 2009-03-12 Gil C. Claudio , Christian Holm , Kurt Kremer

Screening of a strongly charged macroion by its multivalent counterions can not be described in the framework of mean field Poisson-Boltzmann (PB) theory because multivalent counterions form a strongly correlated liquid (SCL) on the surface…

Soft Condensed Matter · Physics 2010-04-27 M. S. Loth , B. I. Shklovskii

We develop a modified Poisson-Nernst-Planck model which includes both the long-range Coulomb and short-range hard-sphere correlations in its free energy functional such that the model can accurately describe the ion transport in complex…

Computational Physics · Physics 2021-05-21 Manman Ma , Zhenli Xu , Liwei Zhang

A simple model is presented to calculate the potential of mean force between a polyion and a multivalent counterion inside a polyelectrolite solution. We find that under certain conditions the electrostatic interactions can lead to a strong…

Statistical Mechanics · Physics 2009-11-11 Jürgen F. Stilck , Yan Levin

We propose a detailed description of the structure of the layer formed by polyelectrolyte chains adsorbed onto an oppositely charged surface in the semi-dilute regime. We combine the mean-field Poisson-Boltzmann-Edwards theory and the…

Soft Condensed Matter · Physics 2019-02-20 Manoel Manghi , Miguel Aubouy

A systematic field theory is presented for charged systems. The one-loop level corresponds to the classical Debye-H\"uckel (DH) theory, and exhibits the full hierarchy of multi-body correlations determined by pair-distribution functions…

Statistical Mechanics · Physics 2009-10-31 Roland R. Netz , Henri Orland

The "polymer reference interaction site model" (PRISM) integral equation formalism is used to determine the pair structure of binary colloidal dispersions involving large and small polyions of opposite charge. Two examples of such…

Statistical Mechanics · Physics 2009-11-07 L. Harnau , J. -P. Hansen