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Related papers: Planar screening by charge polydisperse counterion…

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We develop a general formalism to investigate the effect of quenched fixed charge disorder on effective electrostatic interactions between charged surfaces in a one-component (counterion-only) Coulomb fluid. Analytical results are…

Soft Condensed Matter · Physics 2009-11-11 Ali Naji , Rudolf Podgornik

Macromolecules, when immersed in a polar solvent like water, become charged by a fixed surface charge density which is compensated by ``counter-ions'' moving out of the surface. Such classical particle systems exhibit poor screening…

Statistical Mechanics · Physics 2015-11-04 Ladislav Šamaj

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

For inhomogeneous classical Coulomb fluids in thermal equilibrium, like the jellium or the two-component Coulomb gas, there exists a variety of exact sum rules which relate the particle one-body and two-body densities. The necessary…

Soft Condensed Matter · Physics 2013-10-09 Ladislav Samaj

The spectrum of an exactly solvable non-relativistic system of a charged particle interacting with a quantized electromagnetic mode is studied with various polarizations. Quasiparticle dispersion relations can be derived from the…

Quantum Physics · Physics 2017-06-13 P. Mati

The modified Poisson-Boltzmann theory of the restricted primitive model double layer is revisited and recast in a fresh, slightly broader perspective. Derivation of relevant equations follow the techniques utilized in the earlier MPB4 and…

Statistical Mechanics · Physics 2017-10-05 L. B. Bhuiyan , C. W. Outhwaite

We study a generalized Thomson problem that appears in several condensed matter settings: identical point-charge particles can penetrate inside a homogeneously charged sphere, with global electro-neutrality. The emphasis is on scaling laws…

Soft Condensed Matter · Physics 2015-05-27 A. D. Chepelianskii , F. Closa , E. Raphael , E. Trizac

We report a variational approach to the nonlinearly screened interaction of charged particles with a many-electron system. This approach has been developed by introducing a modification of the Schwinger variational principle of scattering…

Materials Science · Physics 2009-11-11 V. U. Nazarov , S. Nishigaki , J. M. Pitarke , C. S. Kim

The unpolarized, helicity and transversity parton distribution functions of the nucleon are studied within a convolution model where the bare nucleon is dressed by its virtual meson cloud. Using light-front time-ordered perturbation theory,…

High Energy Physics - Phenomenology · Physics 2017-05-31 S. Kofler , B. Pasquini

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

We determine the structure of charge-stabilized colloidal suspensions at low ionic strength over an extended range of particle volume fractions using a combination of light and small angle neutron scattering experiments. The variation of…

Charged systems with partially annealed charge disorder are investigated using field-theoretic and replica methods. Charge disorder is assumed to be confined to macroion surfaces surrounded by a cloud of mobile neutralizing counterions in…

Soft Condensed Matter · Physics 2009-05-24 Yevgeni Sh. Mamasakhlisov , Ali Naji , Rudolf Podgornik

We present a finite volume scheme for modeling the diffusion of charged particles, specifically ions, in constrained geometries using a degenerate Poisson-Nernst-Planck system with size exclusion yielding cross-diffusion. Our method…

Numerical Analysis · Mathematics 2026-03-04 Clément Cancès , Maxime Herda , Annamaria Massimini

The electrostatic potential of a highly charged disc (clay platelet) in an electrolyte is investigated in detail. The corresponding non-linear Poisson-Boltzmann (PB) equation is solved numerically, and we show that the far-field behaviour…

Soft Condensed Matter · Physics 2009-11-10 R. Agra , E. Trizac , L. Bocquet

A theory is presented for the effective charge of colloidal particles in suspensions containing multivalent counterions. It is shown that if colloids are sufficiently strongly charged, the number of condensed multivalent counterion can…

Soft Condensed Matter · Physics 2009-11-11 S. Pianegonda , Marcia C. Barbosa , Yan Levin

We predict a condensation phenomenon in an overall neutral system, consisting of a single charged plate and its oppositely charged counterions. Based on the ``two-fluid'' model, in which the counterions are divided into a ``free'' and a…

Soft Condensed Matter · Physics 2016-08-31 A. W. C. Lau , D. B. Lukatsky , P. Pincus , S. A. Safran

The effect of fixed discrete colloidal charges in the primitive model is investigated for spherical macroions. Instead of considering a central bare charge, as it is traditionally done, we distribute \textit{discrete} charges randomly on…

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

Individual colloids often carry a charge as a result of the dissociation (or adsorption) of weakly-ionized surface groups. The magnitude depends on the precise chemical environment surrounding a particle, which in a concentrated dispersion…

Soft Condensed Matter · Physics 2017-12-12 James Hallett , David Gillespie , Robert Richardson , Paul Bartlett

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

Surface sensitive synchrotron-X-ray scattering studies reveal the distributions of monovalent ions next to highly charged interfaces. A lipid phosphate (dihexadecyl hydrogen-phosphate) was spread as a monolayer at the air-water interface,…

Soft Condensed Matter · Physics 2009-11-11 Wei Bu , David Vaknin , Alex Travesset