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The contact value theorem was originally derived for Coulomb fluids of mobile charged particles in thermal equilibrium, in the presence of interfaces carrying a {\em uniform} surface charge density and in the absence of dielectric…

Statistical Mechanics · Physics 2025-03-03 Ladislav Šamaj

In this thesis we study the lateral electrostatic interaction between a pair of non-identical, moderately charged colloidal particles trapped at an electrolyte interface in the limit of short inter-particle separations. Using a simplified…

Soft Condensed Matter · Physics 2017-10-17 Timo Schmetzer

In solution, electrically like-charged particles can experience a strong and long-ranged attraction that leads to the formation of stable, slowly reorganizing clusters. The attractive force underpinning this spontaneous organization process…

Soft Condensed Matter · Physics 2026-01-14 Sida Wang , Angela Le , Rowan Walker-Gibbons , Madhavi Krishnan

The Poisson-Boltzmann (PB) theory is extensively used to gain insight on charged colloids and biological systems as well as to elucidate fundamental properties of intermolecular forces. Many works were devoted in the past to study PB…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman

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

The possibility that like-charges can attract each other under the mediation of mobile counterions is by now well documented experimentally, numerically, and analytically. Yet, obtaining exact results is in general impossible, or restricted…

Statistical Mechanics · Physics 2016-03-29 Gabriel Tellez , Emmanuel Trizac

The electrostatic interaction between two non-identical, moderately charged colloids situated in close proximity of each other at a fluid interface is studied. By resorting to a well-justified model system, this problem is analytically…

Soft Condensed Matter · Physics 2018-04-30 Arghya Majee , Timo Schmetzer , Markus Bier

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

While important for many industrial applications, chemical reactions responsible for charging of solids in water are often poorly understood. We theoretically investigate the charging kinetics of solid-liquid interfaces, and find that the…

Soft Condensed Matter · Physics 2023-02-08 Willem Boon , Marjolein Dijkstra , René van Roij

In this thesis, the electrostatic interaction between two chemically identical colloids, both carrying constant surface potential is studied in the limit of short inter-particle separation at the interface of two immiscible fluids. Using an…

Soft Condensed Matter · Physics 2020-01-01 Rick Bebon

As is well known in electrolyte theory, electrostatic fields are attenuated by the presence of mobile charges in the solution. This seems to limit the possibility of an electrostatic repulsion model of biological interactions such as cell…

Biological Physics · Physics 2012-01-04 Eshel Faraggi

We study discrete solvent effects on the interaction of two parallel charged surfaces in ionic aqueous solution. These effects are taken into account by adding a bilinear non-local term to the free energy of Poisson-Boltzmann theory. We…

Soft Condensed Matter · Physics 2009-10-31 Yoram Burak , David Andelman

We investigate, within a local density functional theory formalism, the interactions between like-charged polyions immersed in a confined electrolyte. We obtain a simple condition for a repulsive effective pair potential, that can be…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac

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

Like-charged macroions attract each other as a result of strong electrostatic correlations in the presence of multivalent counterions or at low temperatures. We investigate the effective electrostatic interaction between i) two like-charged…

Soft Condensed Matter · Physics 2007-05-23 Ali Naji , Roland R. Netz

Similarly and highly charged plates in the presence of multivalent counter ions attract each other, leading to electrostatically bound states. Using Monte-Carlo simulations we obtain the inter-plate pressure in the global parameter space.…

Soft Condensed Matter · Physics 2007-05-23 Andre G. Moreira , Roland R. Netz

The existence of attractions between like-charged colloids immersed in ionic solution have been discovered in recent experiments. This phenomenon contradicts the predictions of DLVO theory and indicates a failure of mean field theory. We…

Soft Condensed Matter · Physics 2009-10-31 Ning Ma , S. M. Girvin , R. Rajaraman

Charged soft-matter systems--such as colloidal dispersions and charged polymers--are dominated by attractive forces between constituent like-charged particles when neutralizing counterions of high charge valency are introduced. Such…

Soft Condensed Matter · Physics 2009-11-11 Ali Naji , Swetlana Jungblut , Andre G. Moreira , Roland R. Netz

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

The interaction between charged objects in solution is generally expected to recapitulate two central principles of electromagnetics: (i) like-charged objects repel, and (ii) they do so regardless of the sign of their electrical charge.…

Soft Condensed Matter · Physics 2022-12-27 Sida Wang , Rowan Walker-Gibbons , Bethany Watkins , Melissa Flynn , Madhavi Krishnan