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In models of $N$ interacting particles in $\R^d$ as in Density Functional Theory or crowd motion, the repulsive cost is usually described by a two-point function $c_\e(x,y) =\ell\Big(\frac{|x-y|}{\e}\Big)$ where $\ell: \R_+ \to [0,\infty]$…

Mathematical Physics · Physics 2023-10-26 Guy Bouchitté , Rajesh Mahadevan

The electrostatic correlations between ions profoundly influence the structure and forces within electrical double layers. Here, we apply the modified Gaussian Renormalized Fluctuation theory to investigate the counter-intuitive phenomenon…

Soft Condensed Matter · Physics 2025-02-04 Nikhil R. Agrawal , Carlo Carrao , Rui Wang

Two overall neutral surfaces with positive and negative charged domains ("patches") have been shown in recent experiments to exhibit long-range attraction when immersed in an ionic solution. Motivated by the experiments, we calculate…

Soft Condensed Matter · Physics 2016-08-31 Ram M. Adar , David Andelman , Haim Diamant

We investigate active electrolytes within the mean-field level of description. The focus is on how the double-layer structure of passive, thermalized charges is affected by active dynamics of all constituting ions. One feature of active…

Soft Condensed Matter · Physics 2018-05-23 Derek Frydel , Rudolf Podgornik

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

By decomposing the Coulomb interaction into a long distance component appropriate for mean-field theory, and a nonmean-field short distance component, we compute the counterion density near a charged surface for all values of the counterion…

Soft Condensed Matter · Physics 2009-11-11 Christian D. Santangelo

In a counter-ion only charged fluid, Coulomb coupling is quantified by a single dimensionless parameter. Yet, the theoretical treatment of moderately to strongly coupled charged fluids is a difficult task, central to the understanding of a…

Soft Condensed Matter · Physics 2016-11-03 L. Samaj , A. P. dos Santos , Y. Levin , E. Trizac

Coulomb repulsion between two moving electrons loses its spherical symmetry due to relativistic effects. In presence of a uniform positive ion background this asymmetry uncovers an angular dependent attraction potential in the direction of…

Superconductivity · Physics 2007-05-23 F. Raissi

The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has…

Soft Condensed Matter · Physics 2016-11-08 Pei Liu , Manman Ma , Zhenli Xu

Electrons in condensed matter may transition into a variety of broken-symmetry phase states due to electron-electron interactions. Applying diverse mean-field approximations to the interaction term is arguably the simplest way to identify…

Strongly Correlated Electrons · Physics 2024-06-17 Maxim Trushin , Liangtao Peng , Gargee Sharma , Giovanni Vignale , Shaffique Adam

We use Molecular Dynamics simulations to study attractive interactions and the underlying ionic correlations between parallel like-charged rods in the absence of additional salt. For a generic bulk system of rods we identify a reduction of…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Axel Arnold , Christian Holm

We investigate theoretically the phase diagram of an insoluble charged surfactant monolayer in contact with a semi-dilute polyelectrolyte solution (of opposite charge). The polyelectrolytes are assumed to have long-range and attractive…

Soft Condensed Matter · Physics 2012-07-19 Adi Shafir , David Andelman

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

A mean-field monomer-dimer model which includes an attractive interaction among both monomers and dimers is introduced and its exact solution rigorously derived. The Heilmann-Lieb method for the pure hard-core interacting case is used to…

Mathematical Physics · Physics 2015-06-18 Diego Alberici , Pierluigi Contucci , Emanuele Mingione

We investigate the effect of repulsive interaction between hadrons on the susceptibilities of conserved charges, namely baryon number (B), electric charge (Q) and strangeness (S). We estimate second fourth and sixth-order susceptibilities…

High Energy Physics - Phenomenology · Physics 2024-12-17 Somenath Pal , Guruprasad Kadam , Abhijit Bhattacharyya

The effective interaction between charged colloidal particles confined between two planar like-charged walls is investigated using computer simulations of the primitive model describing asymmetric electrolytes. In detail, we calculate the…

Soft Condensed Matter · Physics 2016-08-15 E. Allahyarov , I. D'Amico , H. Löwen

We study, using Monte Carlo simulations, the interaction between infinite heterogeneously charged surfaces inside an electrolyte solution. The surfaces are overall neutral with quenched charged domains. An average over the quenched disorder…

Soft Condensed Matter · Physics 2015-08-12 Amin Bakhshandeh , Alexandre P. dos Santos , Alexandre Diehl , Yan Levin

We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of the grand partition function of this model is obtained in…

Statistical Mechanics · Physics 2017-06-23 M. P. Kozlovskii , O. A. Dobush

We study the effective electrostatic interactions between a pair of charged colloidal particles without salt ions while the system is confined in two dimensions. In particular we use a simplified model to elucidate the effects of rotational…

Soft Condensed Matter · Physics 2010-09-09 Chi-Lun Lee , Sio-Kit Ng

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