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A microscopic theory of linear response based on the Vlasov equation is extended to systems having spheroidal equilibrium shape. The solution of the linearized Vlasov equation, which gives a semiclassical version of the random phase…

Mesoscale and Nanoscale Physics · Physics 2009-02-05 A. Dellafiore , F. Matera , F. A. Brieva

In this paper, we formulate a field-theoretical model of dilute salt solutions of electrically neutral spherical colloid particles. Each colloid particle consists of a 'central' charge that is situated at the center and compensating…

Soft Condensed Matter · Physics 2020-01-08 Yu. A. Budkov

In this paper we develop a simple theory to study the effects of ionic size on ionic distributions around a charged spherical particle. We include a correction to the regular Poisson-Boltzmann equation in order to take into account the size…

Soft Condensed Matter · Physics 2017-08-30 Thiago Colla , Lucas Nunes Lopes , Alexandre P. dos Santos

We consider a system made up of N electrons interacting with a neutralizing positive background within a cubic box of volume V. After dividing the box into N (or N/2) cubic cells for the polarized (unpolarized) case, we average the creation…

Strongly Correlated Electrons · Physics 2007-12-11 Salvino Ciccariello

Mean-field theory is used to model polyelectrolyte adsorption and the possibility of overcompensation of charged surfaces. For charged surfaces that are also chemically attractive, the overcharging is large in high salt conditions,…

Soft Condensed Matter · Physics 2009-11-10 Adi Shafir , David Andelman

We theoretically study sedimentation-diffusion equilibrium of dilute binary, ternary, and polydisperse mixtures of colloidal particles with different buoyant masses and/or charges. We focus on the low-salt regime, where the entropy of the…

Soft Condensed Matter · Physics 2009-11-11 Jos Zwanikken , rene van Roij

We are interested in rationalizing the phenomenon of like-charge attraction between charged bodies, such as a pair of colloids, in the strong coupling regime. The two colloids are modelled as uniformly charged parallel plates, neutralized…

Soft Condensed Matter · Physics 2025-01-13 L. Samaj , E. Trizac , M. Trulsson

The equilibrium phase behavior of a binary mixture of charged colloids and neutral, non-adsorbing polymers is studied within free-volume theory. A model mixture of charged hard-sphere macroions and ideal, coarse-grained, effective-sphere…

Soft Condensed Matter · Physics 2009-11-11 Alan R. Denton , Matthias Schmidt

We develop a computational method for modeling electrostatic interactions of arbitrarily-shaped, polarizable objects on colloidal length scales, including colloids/nanoparticles, polymers, and surfactants, dispersed in explicit ion…

Soft Condensed Matter · Physics 2024-06-18 Emily Krucker-Velasquez , James W. Swan , Zachary Sherman

The purpose of this study is to provide data for the primitive model of the electrical double layer, where ions are modeled as charged hard spheres, the solvent as an implicit dielectric background (with dielectric constant $\epsilon=…

Soft Condensed Matter · Physics 2017-12-01 Mónika Valiskó , Tamás Kristóf , Dirk Gillespie , Dezső Boda

To understand the electronic shell- and supershell-structure in large metal clusters we have performed self-consistent calculations in the homogeneous, spherical jellium model for a variety of different materials. A scaling analysis of the…

Condensed Matter · Physics 2009-10-28 Erik Koch

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 Poisson-Boltzmann mean-field description of ionic solutions has been successfully used in predicting charge distributions and interactions between charged macromolecules. While the electrostatic model of charged fluids, on which the…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman , Daniel Harries , Rudi Podgornik

In the present work, we study the equilibrium conformations of linear polyelectrolytes tethered onto a spherical, oppositely charged core in equilibrium with an ionic reservoir of fixed concentration. Particular focus is placed on the…

Soft Condensed Matter · Physics 2021-12-21 Amin Bakhshandeh , Maximiliano Segala , Thiago Colla

We provide new exact solutions to the Einstein-Maxwell system of equations which are physically reasonable. The spacetime is static and spherically symmetric with a charged matter distribution. We utilise an equation of state which is…

General Relativity and Quantum Cosmology · Physics 2015-06-12 S. D. Maharaj , P. Mafa Takisa

We study the gravitational collapse of an overdensity of nonrelativistic matter under the action of gravity and a chameleon scalar field. We show that the spherical collapse model is modified by the presence of a chameleon field. In…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Ph. Brax , R. Rosenfeld , D. A. Steer

To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet…

High Energy Physics - Phenomenology · Physics 2021-06-22 Martin Lüscher , Peter Weisz

In a minimal extension of the Standard Model, in which new neutral fermions have been introduced, we show that the requirement of vanishing anomalies fixes the hypercharges of all fermions uniquely. This naturally leads to electric charge…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Nowakowski , A. Pilaftsis

The ion distribution around charged colloids in solution has been investigated intensely during the last decade. However, few theoretical approaches have included the influence of variation in the dielectric permittivity within the system,…

Soft Condensed Matter · Physics 2015-06-18 Florian Fahrenberger , Zhenli Xu , Christian Holm

The electrostatic complexation between DOTAP-DOPC unilamellar liposomes and an oppositely charged polyelectrolyte (NaPA) has been investigated in a wide range of the liposome surface charge density. We systematically characterized the…

Soft Condensed Matter · Physics 2015-03-11 Simona Sennato , Laura Carlini , Domenico Truzzolillo , Federico Bordi
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