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Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied voltages, high concentration of electrolytes, systems with…

Fluid Dynamics · Physics 2015-06-11 Brian D. Storey , Martin Z. Bazant

We report results from a molecular dynamics (MD) simulation on the conformations of a long flexible polyelectrolyte complexed to a charged sphere, \textit{both negatively charged}, in the presence of neutralizing counterions in the strong…

Soft Condensed Matter · Physics 2009-11-07 Rene Messina , Christian Holm , Kurt Kremer

Dilute solutions of strongly charged polymer electrolytes undergo, upon addition of multivaltent salt to the solutions, a phase transition from extended conformations to collapsed or bundled ones. Upon further addition of salt they…

Soft Condensed Matter · Physics 2009-11-07 Francisco J. Solis

Electrostatic correlations and variable permittivity of electrolytes are essential for exploring many chemical and physical properties of interfaces in aqueous solutions. We propose a continuum electrostatic model for the treatment of these…

Soft Condensed Matter · Physics 2015-06-23 Manman Ma , Zhenli Xu

We modify the "floating crystal" trial state for the classical Homogeneous Electron Gas (also known as Jellium), in order to suppress the boundary charge fluctuations that are known to lead to a macroscopic increase of the energy. The…

Strongly Correlated Electrons · Physics 2019-07-31 Mathieu Lewin , Elliott H. Lieb , Robert Seiringer

Thermodynamic properties of charge-stabilised colloidal suspensions are commonly modeled by implementing the mean-field Poisson-Boltzmann (PB) theory within a cell model. This approach models a bulk system by a single macroion, together…

Soft Condensed Matter · Physics 2015-05-18 Alan R. Denton

We study the ionic distribution near a charged surface. A new method for performing Monte Carlo simulations in this geometry is discussed. A theory is then presented that allows us to accurately reproduce the density profiles obtained in…

Chemical Physics · Physics 2012-11-09 Alexandre P. dos Santos , Yan Levin

Counterion distribution around an isolated flexible polyelectrolyte in the presence of a divalent salt is evaluated using the adsorption model [M. Muthukumar, J. Chem. Phys. {\bf 120}, 9343 (2004)] that considers Bjerrum length, salt…

Soft Condensed Matter · Physics 2008-12-29 Arindam Kundagrami , M. Muthukumar

The study of the electrical double layer lies at the heart of colloidal and interfacial science. The standard mean-field Poisson-Boltzmann (PB) theory is incapable of modeling many phenomena originated from ion correlation. An important…

Soft Condensed Matter · Physics 2022-09-26 Nikhil R. Agrawal , Rui Wang

We present the exact solutions for the collapse of a spherically-symmetric, cold (i.e., pressureless) cloud under its own self-gravity, valid for arbitrary initial density profiles and not restricted to the realm of self-similarity. These…

Astrophysics of Galaxies · Physics 2018-01-08 Eric R. Coughlin

We explore interactions between equally charged surfaces, in the presence of simple salt and either neutral or monovalently charged polyampholytes. We consider the possibility of using these charged polymers as crude models of ion clusters.…

Soft Condensed Matter · Physics 2026-03-19 David Ribar , Clifford E Woodward , Jan Forsman

As a model for a suspension of hard-sphere like colloidal particles where small nonadsorbing dissolved polymers create a depletion attraction, we introduce an effective colloid-colloid potential closely related to the Asakura-Oosawa model…

Soft Condensed Matter · Physics 2015-10-28 Antonia Statt , Peter Virnau , Kurt Binder

It is shown that global fermionic charges induced in vacuum by slowly varying, topologically non-trivial background scalar fields are not renormalized provided that expansion in momenta of background fields is valid. This suggests that…

High Energy Physics - Theory · Physics 2009-10-31 S. L. Dubovsky , D. S. Gorbunov , M. V. Libanov , V. A. Rubakov

A semiclassical approach for calculating shell effects, that has been used in atomic and plasma physics, is applied to describe the electronic supershells in metal clusters. Using the spherical jellium model we give the analytical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. V. Shpatakovskaya

A concentrated suspension of lamellar colloidal particles (e. g. clay) is modelled by considering a single, uniformly charged, finite platelet confined with co- and counterions to a Wigner-Seitz (WS) cell. The system is treated within…

Soft Condensed Matter · Physics 2009-10-30 Emmanuel Trizac , Jean-Pierre Hansen

We study phase equilibria in a minimal model of charge-regulated polymer solutions. Our model consists of a single polymer species whose charge state arises from protonation-deprotonation processes in the presence of a dissolved acid, whose…

Soft Condensed Matter · Physics 2023-11-14 Giulia L. Celora , Ralf Blossey , Andreas Münch , Barbara Wagner

We present two successive mean-field approximations for describing the mechanical properties and the swelling equilibrium of polyelectrolyte gels in contact with a salt solution. The first mean-field approximation reduces the many-chain…

Soft Condensed Matter · Physics 2019-11-22 Jonas Landsgesell , Christian Holm

To gain some insight into electrochemical activity of dielectric colloids of technical and biomedical interest we investigate a model of dielectric nanosolution whose micro-constitution is dominated by dipolarions -- positively and…

Soft Condensed Matter · Physics 2014-03-27 Sergey Bastrukov , Pik-Yin Lai , Irina Molodtsova

We study theoretically the osmotic pressure of a suspension of charged objects (e.g., colloids, polyelectrolytes, clay platelets, etc.) dialyzed against an electrolyte solution using the cell model and linear Poisson-Boltzmann (PB) theory.…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Hans-Hennig von Grunberg

We propose a mean-field analytical model to account for the observed asymmetry in the ability to form long-range attraction by the negatively charged colloidal particles and not their equivalently charged positive counterpart. We conjecture…

Soft Condensed Matter · Physics 2009-11-13 William Kung , Monica Olvera de la Cruz
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