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Poisson-Boltzmann theory is the cornerstone for soft matter electrostatics. We provide novel exact analytical solutions to this non-linear mean-field approach, for the diffuse layer of ions in the vicinity of a planar or a cylindrical…

Soft Condensed Matter · Physics 2020-01-29 L. Samaj , E. Trizac

The electrostatic Schwinger-Dyson equations are derived and solved for an electrolyte mixture composed of mono- and multivalent ions confined to a negatively charged nanoslit. The closure of these equations is based on an asymmetric…

Soft Condensed Matter · Physics 2020-01-06 Sahin Buyukdagli

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

Modeling ion correlations in inhomogeneous polymers and soft matters with spatially varying ionic strength or dielectric permittivity remains a great challenge. Here, we develop a new theory which systematically incorporates electrostatic…

Soft Condensed Matter · Physics 2024-07-01 Chao Duan , Nikhil R. Agrawal , Rui Wang

We predict the nature (attractive or repulsive) and range (exponentially screened or long-range power law) of the electrostatic interactions of oppositely charged and planar plates as a function of the salt concentration and surface charge…

Soft Condensed Matter · Physics 2012-01-31 Dan Ben-Yaakov , Yoram Burak , David Andelman , S. A. Safran

We reformulate the theory of strong electrostatic coupling in order to describe an asymmetric electrolyte solution of monovalent salt ions and polyvalent counterions using field-theoretical techniques and Monte-Carlo simulations. The theory…

Soft Condensed Matter · Physics 2015-05-14 Matej Kanduc , Ali Naji , Jan Forsman , Rudolf Podgornik

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

Properties of polyelectrolytes in tetravalent salt solutions are intensively investigated by a coarse-grained model. The concentration of salt and the size of tetravalent counterions are found playing a decisive role on chain properties. If…

Soft Condensed Matter · Physics 2009-09-29 Pai-Yi Hsiao

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

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

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

A variational theory is developed to study electrolyte solutions, composed of interacting point-like ions in a solvent, in the presence of dielectric discontinuities and charges at the boundaries. Three important and non-linear…

Soft Condensed Matter · Physics 2013-05-29 Sahin Buyukdagli , Manoel Manghi , John Palmeri

Charge regulation is a fundamental mechanism in most chemical, geochemical, and biochemical systems. Various minerals surfaces and proteins are well-known to change their charge state as a function of the activity of the hydronium ions,…

Soft Condensed Matter · Physics 2021-06-29 Martin Trulsson

We have directly observed reversal of the polarity of charged surfaces in water upon the addition of tri- and quadrivalent ions using atomic force microscopy. The bulk concentration of multivalent ions at which charge inversion reversibly…

Statistical Mechanics · Physics 2009-11-10 K. Besteman , M. A. G. Zevenbergen , H. A. Heering , S. G. Lemay

Ion clustering has been proposed as a mechanism leading to the peculiar 'anomalous underscreening' phenomenon seen for electrostatic interactions between charge surfaces immersed in concentrated electrolytes. These interactions have been…

Soft Condensed Matter · Physics 2025-12-01 Clifford E. Woodward , David Ribar , Jan Forsman

We study electrostatic mechanisms of destabilization of highly asymmetric electrolytes. For this purpose, we perform primitive model Monte Carlo simulations of charged macroions immersed in multivalent salt solution. At low salt…

Soft Condensed Matter · Physics 2007-06-20 Vladimir Lobaskin , Khawla Qamhieh

Complexation in symmetric solutions of oppositely charged polyelectrolytes is studied theoretically. We include polyion crosslinking due to formation of thermoreversible ionic pairs. The electrostatic free energy is calculated within the…

Soft Condensed Matter · Physics 2009-11-10 Alexander Kudlay , Alexander V. Ermoshkin , Monica Olvera de la Cruz

Correlated anion and cation motion can significantly reduce the overall ion conductivity in electrolytes versus the ideal conductivity calculated based on the diffusion constants alone. Using coarse-grained molecular dynamics simulations,…

Soft Condensed Matter · Physics 2020-06-01 Kuan-Hsuan Shen , Lisa M. Hall

Effect of ionic solute on a near-critical binary aqueous mixture confined between charged walls with different adsorption preferences is considered within a simple density functional theory. For the near-critical system containing small…

Soft Condensed Matter · Physics 2015-05-28 F. Pousaneh , A. Ciach

From cement cohesion to DNA condensation, a proper statistical physics treatment of systems with long range forces is important for a number of applications in physics, chemistry, and biology. We compute here the effective force between…

Soft Condensed Matter · Physics 2018-03-14 E. Trizac , G. Téllez