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Electrostatic interactions between point charges embedded into interfaces separating dielectric media are omnipresent in soft matter systems and often control their stability. Such interactions are typically complicated and do not resemble…

Soft Condensed Matter · Physics 2020-09-09 Alexander Morozov , Iain Muntz , Job H. J. Thijssen , Davide Marenduzzo

Classical Coulomb systems at equilibrium, bounded by a plane dielectric wall, are studied. A general two-point charge correlation function is considered. Valid for any fixed position of one of the points, a new relation is found between the…

Statistical Mechanics · Physics 2007-05-23 B. Jancovici , L. Šamaj

Electric double layers (EDL) with counterions only, say electrons with the elementary charge $-e$, in thermal equilibrium at the inverse temperature $\beta$ are considered. In particular, we study the effect of the surface charge modulation…

Statistical Mechanics · Physics 2022-07-26 Ladislav Šamaj

We simulate model systems of charged spherical particles in their counterion solution and measure the thermodynamic pressure and the pair distribution function from which we derive effective potentials of mean force. For a system with only…

Soft Condensed Matter · Physics 2007-05-23 Niels Gronbech-Jensen , Keith M Beardmore , Philip Pincus

Structural correlations between colloids in a binary mixture of charged and uncharged spheres are calculated using computer simulations of the primitive model with explicit microions. For aqueous suspensions in a solvent of large dielectric…

Soft Condensed Matter · Physics 2022-11-09 Elshad Allahyarov , Hartmut Löwen

The interaction of charges in dielectric materials is screened by the dielectric constant of the bulk dielectric. In dielectric theories, screening is assigned to the surface charge appearing from preferential orientations of dipoles along…

Soft Condensed Matter · Physics 2019-09-04 Salman Seyedi , Daniel R. Martin , Dmitry V. Matyushov

Interparticle interactions in charge-stabilized colloidal suspensions, of arbitrary salt concentration, are described at the level of effective interactions in an equivalent one-component system. Integrating out from the partition function…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

This work contributes to the problem of determining effective interaction between asymmetrically (likely or oppositely) charged objects whose total charge is neutralized by mobile pointlike counter-ions of the same charge, the whole system…

Statistical Mechanics · Physics 2015-06-22 L. Samaj , E. Trizac

We study the equilibrium statistical mechanics of classical two-dimensional Coulomb systems living on a pseudosphere (an infinite surface of constant negative curvature). The Coulomb potential created by one point charge exists and goes to…

Condensed Matter · Physics 2007-05-23 B. Jancovici , G. Tellez

We consider the surface pressure of a colloid-laden liquid interface. As micron-sized particles of suitable wettability can be irreversibly bound to the liquid interface on experimental timescales, we use the canonical ensemble to derive an…

Soft Condensed Matter · Physics 2022-03-07 R. Mears , I. Muntz , J. H. J. Thijssen

We consider the interactions between two uncharged planar macroscopic surfaces immersed in an electrolyte solution which are induced by interfacial selectivity. These forces are taken into account by introducing a depletion free-energy…

Soft Condensed Matter · Physics 2009-10-31 M. N. Tamashiro , P. Pincus

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

The interaction of electrically charged particles in a dilute gas of point--like magnetic dipoles is studied. We show that the interaction potential at small distances has a linear piece due to overlap of the dipole clouds gathered near…

High Energy Physics - Theory · Physics 2009-10-31 M. N. Chernodub

We study a class of interacting particle systems in which $n$ signed particles move on the real line. At close range particles with the same sign repel and particles with opposite sign attract each other. The repulsion and attraction are…

Analysis of PDEs · Mathematics 2024-03-21 Patrick van Meurs

The formalism developed in Refs.~\cite{Guo:2023ecc,Guo:2024zal,Guo:2024pvt} that relates the integrated correlation functions for a trapped system to the infinite volume scattering phase shifts through a weighted integral is further…

High Energy Physics - Lattice · Physics 2025-07-04 Peng Guo , Frank X. Lee

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

The equilibrium density profiles in a classical multicomponent plasma near a hard wall made with a dielectric material characterized by a relative dielectric constant $\ew$ are studied from the first Born-Green-Yvon equation combined with…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu

Charge-stabilized colloidal suspensions can be conveniently described by formally reducing the macroion-microion mixture to an equivalent one-component system of pseudo-particles. Within this scheme, the utility of a linear response…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton

The free energy of ion solvation can be decomposed into enthalpic and entropic contributions. This helps to understand the connection between the dielectric properties and the underlying forces. We present a simple linear-response model of…

Soft Condensed Matter · Physics 2024-06-24 Alec Wills , Anthony Mannino , Isidro Losada , Sara G. Mayo , Jose M. Soler , Marivi Fernandez-Serra

Effective interactions between charged particles dispersed in an electrolyte are most commonly modeled using the Derjaguin-Landau-Verwey-Overbeek (DLVO) potential, where the ions in the suspension are coarse-grained out at mean-field level.…

Soft Condensed Matter · Physics 2025-10-23 Thijs ter Rele , Gerardo Campos-Villalobos , René van Roij , Marjolein Dijkstra