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By a length scale analysis, we study the equilibrium interactions between two like-charge planes confining neutralising counter-ions. At large Coulombic couplings, approaching the two charged bodies leads to an unbinding of counter-ions, a…

Soft Condensed Matter · Physics 2012-10-23 E. Trizac , L. Samaj

We investigate the ion distribution and overcharging at charged interfaces with dielectric inhomogeneities in the presence of asymmetric electrolytes containing polyvalent and monovalent ions. We formulate an effective "dressed counterion"…

Soft Condensed Matter · Physics 2015-03-17 Matej Kanduc , Ali Naji , Jan Forsman , Rudolf Podgornik

We study the strong-coupling (SC) interaction between two like-charged membranes of finite thickness embedded in a medium of higher dielectric constant. A generalized SC theory is applied along with extensive Monte-Carlo simulations to…

Soft Condensed Matter · Physics 2009-05-26 Y. S. Jho , M. Kanduc , A. Naji , R. Podgornik , M. W. Kim , P. A. Pincus

Using the specific model of a system of like charged ions confined between two planar like charged surfaces, we compare the predictions for the energy and density profile of four simulation methods available to treat the long range Coulomb…

Statistical Mechanics · Physics 2007-05-23 M. Mazars , J-M. Caillol , J. -J. Weis , D. Levesque

Using a multiple-image reconstruction method applied to a harmonically trapped Bose gas, we determine the equation of state of uniform matter across the critical transition point, within the local density approximation. Our experimental…

Quantum Gases · Physics 2020-10-14 C. Mordini , D. Trypogeorgos , A. Farolfi , L. Wolswijk , S. Stringari , G. Lamporesi , G. Ferrari

We consider the system of particles with equal charges and nearest neighbour Coulomb interaction on the interval. We study local properties of this system, in particular the distribution of distances between neighbouring charges. For zero…

Mathematical Physics · Physics 2016-11-08 V. A. Malyshev , A. A. Zamyatin

The use of a nearby metallic ground-plane to limit the range of the Coulomb interactions between carriers is a useful approach in studying the physics of two-dimensional (2D) systems. This approach has been used to study Wigner…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 L. H. Ho , A. P. Micolich , A. R. Hamilton , O. P. Sushkov

Due to the strong correlations between multivalent counterions condensed on a macroion, the net macroion charge changes sign at some critical counterion concentration. This effect is known as the charge inversion. Near this critical…

Soft Condensed Matter · Physics 2009-11-07 T. T. Nguyen , B. I. Shklovskii

Spatially separated electron systems remain strongly coupled by electron-electron interactions even when they cannot exchange particles, provided that the layer separation d is comparable to a characteristic distance l between charge…

We consider a macroion confined to a cylindrical cell and neutralized by oppositely charged counterions. Exact results are obtained for the two-dimensional version of this problem, in which ion-ion and ion-macroion interactions are…

Soft Condensed Matter · Physics 2009-11-11 Yoram Burak , Henri Orland

The ground state properties of a single-component one-dimensional Coulomb gas are investigated. We use Bose-Fermi mapping for the ground state wave function which permits to solve the Fermi sign problem in the following respects (i) the…

Quantum Gases · Physics 2014-03-31 G. E. Astrakharchik , M. D. Girardeau

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

We propose a strong-coupling analysis of a polarizable planar interface, in the spirit of a recently introduced Wigner-Crystal formulation. The system is made up of two moieties: a semi-infinite medium (z<0) with permittivity epsilon' while…

Soft Condensed Matter · Physics 2012-01-10 L. Samaj , E. Trizac

The counterion-condensation transition at charged cylinders is studied using Monte-Carlo simulation methods. Employing logarithmically rescaled radial coordinates, large system sizes are tractable and the critical behavior is determined by…

Soft Condensed Matter · Physics 2009-11-11 Ali Naji , Roland R. Netz

We explore structural correlations of strongly asymmetric mixtures of binary charged colloids within the primitive model of electrolytes considering large charge and size ratios of 10 and higher. Using computer simulations with explicit…

Soft Condensed Matter · Physics 2022-07-13 Elshad Allahyarov , Hartmut Löwen , Alan Denton

When a Coulombic fluid is confined between two parallel charged plates, an exact relation links the difference of ionic densities at contact with the plates, to the surface charges of these boundaries. It no longer applies when the…

Statistical Mechanics · Physics 2015-10-28 Juan Pablo Mallarino , Gabriel Tellez , Emmanuel Trizac

We consider an overall neutral system consisting of two similarly charged plates and their oppositely charged counterions and analyze the electrostatic interaction between the two surfaces beyond the mean-field Poisson-Boltzmann…

Soft Condensed Matter · Physics 2016-08-31 A. W. C. Lau , P. Pincus

The criteria for strong correlations on surfaces of three-dimensional topological insulators are discussed. Usually, the Coulomb repulsion at such surfaces is too weak for driving a phase transition to a strongly correlated regime. I…

Strongly Correlated Electrons · Physics 2012-11-09 Manuel J. Schmidt

Realistic charged macromolecules are characterized by discrete (rather than homogeneous) charge distributions. We investigate the effects of surface charge discretization on the counterion distribution at the level of mean-field theory…

Soft Condensed Matter · Physics 2007-05-23 Mark L. Henle , Christian D. Santangelo , Deena M. Patel , Philip A. Pincus

We examine the force between two charged surfaces immersed in aqueous mixtures having a coexistence curve. For a homogeneous water-poor phase, as the distance between the surfaces is decreased, a water-rich phase condenses at a distance…

Statistical Mechanics · Physics 2015-05-27 Sela Samin , Yoav Tsori