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In this paper within a field-theoretical approach taking into account explicitly a co-solvent with a nonzero dipole and a polarizability tensor, we derive a modified Poisson-Boltzmann equation. Applying the modified Poisson-Boltzmann…

Soft Condensed Matter · Physics 2015-09-02 Y. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

We study the effect of asymmetry in solvent and ionic size on the equilibrium properties of multivalent ionic solutions near a charged surface. For a single ionic species in solution, we derive a generalized Grahame equation at the charged…

Soft Condensed Matter · Physics 2026-03-31 Or Ben Yaakov , Haim Diamant , Rudolf Podgornik , David Andelman

We study the electric double layer near a charged soft surface by using a mean-field approach including non-uniform size effect and solvent polarization. Based on a free energy model, electrostatic potential and number densities of water…

Soft Condensed Matter · Physics 2022-02-10 Jun-Sik Sin , Nam-Hyok Kim , Chung-Sik Sin

The Poisson-Boltzmann mean-field description of ionic solutions has been successfully used in predicting charge distributions and interactions between charged macromolecules. While the electrostatic model of charged fluids, on which the…

Soft Condensed Matter · Physics 2014-04-22 Dan Ben-Yaakov , David Andelman , Daniel Harries , Rudi Podgornik

The Poisson-Boltzmann approach gives asymptotically exact counter-ion density profiles around charged objects in the weak-coupling limit of low valency and high temperature. In this paper we derive, using field-theoretic methods, a theory…

Soft Condensed Matter · Physics 2009-10-31 Andre G. Moreira , Roland R. Netz

Constant temperature molecular dynamics simulations were used to study solutions of flexible polyelectrolyte chains at nonzero concentrations with explicit counterions and unscreened coulombic interactions. Counterion condensation, measured…

Statistical Mechanics · Physics 2009-10-31 J. C. Chu , C. H. Mak

We use the recently developed soft-potential-enhanced Poisson-Boltzmann (SPB) theory to study the interaction between two parallel polyelectrolytes (PEs) in monovalent ionic solutions in the weak-coupling regime. The SPB theory is fitted to…

Soft Condensed Matter · Physics 2022-09-28 Xiang Yang , Alberto Scacchi , Hossein Vahid , Maria Sammalkorpi , Tapio Ala-Nissila

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

Screening of a strongly charged macroion by multivalent counterions is considered. It is shown that counterions form a strongly correlated liquid at the surface of the macroion. Cohesive energy of this liquid leads to additional attraction…

Soft Condensed Matter · Physics 2009-10-31 B. I. Shklovskii

The Poisson-Boltzmann (PB) theory is one of the most important theoretical models describing charged systems continuously. However, it suffers from neglecting ion correlations, which hinders its applicability to more general charged systems…

Statistical Mechanics · Physics 2020-08-26 Mao Su , Yanting Wang

Equilibrium distribution of interacting ionic particles in a charged disordered background is studied using the nonlinear Poisson-Boltzmann equation. For an arbitrarily given realization of the disorder, an exact solution of the equation is…

Disordered Systems and Neural Networks · Physics 2009-11-07 Ramin Golestanian

Surface sensitive synchrotron x-ray scattering studies were performed to obtain the distribution of monovalent ions next to a highly charged interface. A lipid phosphate (dihexadecyl hydrogen-phosphate) was spread as a monolayer at the…

Soft Condensed Matter · Physics 2007-05-23 Wei Bu , David Vaknin , Alex Travesset

The dielectric constant of ionic solutions is known to reduce with increasing ionic concentrations. However, the origin of this effect has not been thoroughly explored. In this paper we study two such possible sources: long-range Coulombic…

Statistical Mechanics · Physics 2022-08-04 Ram M. Adar , Tomer Markovich , Amir Levy , Henri Orland , David Andelman

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

We theoretically study electrostatic properties of electric double layer using a generalized Poisson-Boltzmann approach taking into account the orientational ordering of water dipoles and the excluded volume effect of water molecules as…

Soft Condensed Matter · Physics 2022-02-14 Jun-Sik Sin , Song-Jin Im , Kwang-Il Kim

Ion-pairing is commonly considered as a culprit for the reduced ionic conductivity in polymer electrolyte systems. However, this simple thermodynamic picture should not be taken literally, as ion-pairing is a dynamical phenomenon. Here we…

Soft Condensed Matter · Physics 2021-08-31 Harish Gudla , Yunqi Shao , Supho Phunnarungsi , Daniel Brandell , Chao Zhang

We have developed a molecular mean-field theory -- fourth-order Poisson-Nernst-Planck-Bikerman theory -- for modeling ionic and water flows in biological ion channels by treating ions and water molecules of any volume and shape with…

Soft Condensed Matter · Physics 2020-05-18 Jinn-Liang Liu , Bob Eisenberg

A new modified Poisson-Boltzmann equation accounting for the finite size of the ions valid for realistic salt-free concentrated suspensions has been derived, extending the formalism developed for pure salt-free suspensions [Roa et al.,…

Soft Condensed Matter · Physics 2017-09-13 Rafael Roa , Félix Carrique , Emilio Ruiz-Reina

The Poisson-Boltzmann (PB) theory is widely used to depict ionic systems. As a mean-field theory, the PB theory neglects the correlation effect in the ionic atmosphere and leads to deviations from experimental results as the concentration…

Soft Condensed Matter · Physics 2019-06-25 Mao Su , Zhijie Xu , Yanting Wang

The electrostatic potential of a highly charged disc (clay platelet) in an electrolyte is investigated in detail. The corresponding non-linear Poisson-Boltzmann (PB) equation is solved numerically, and we show that the far-field behaviour…

Soft Condensed Matter · Physics 2009-11-10 R. Agra , E. Trizac , L. Bocquet