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The classical Poisson-Boltzmann (PB) theory of electrolytes assumes a dilute solution of point charges with mean-field electrostatic forces. Even for very dilute solutions, however, it predicts absurdly large ion concentrations (exceeding…

Chemical Physics · Physics 2007-05-23 Mustafa Sabri Kilic , Martin Z. Bazant , Armand Ajdari

In this paper, we theoretically study the electrostatic interaction between a pair of identical colloids with constant surface potentials sitting in close vicinity of each other at a fluid interface. By employing a simplified yet reasonable…

Soft Condensed Matter · Physics 2020-07-29 Rick Bebon , Arghya Majee

This review describes the theory and implementation of implicit solvation models based on continuum electrostatics. Within quantum chemistry this formalism is sometimes synonymous with the polarizable continuum model, a particular…

Chemical Physics · Physics 2022-03-15 John M. Herbert

A proper treatment of electrostatic interactions is crucial for the accurate calculation of forces in computer simulations. Electrostatic interactions are typically modeled using Ewald based methods, which have become one of the…

Soft Condensed Matter · Physics 2016-09-21 K. A. Terrón-Mejía , R. López-Rendón , A. Gama Goicochea

We consider two charged semipermeable membranes, which bound bulk electrolyte solutions and are separated by a thin film of salt-free liquid. Small counter-ions permeate into the gap, which leads to a steric charge separation in the system.…

Soft Condensed Matter · Physics 2016-11-23 Salim R. Maduar , Olga I. Vinogradova

The Metropolis Monte Carlo algorithm with the Finite Element method applied to compute electrostatic interaction energy between charge densities is described in this work. By using the Finite Element method to integrate numerically the…

Statistical Mechanics · Physics 2010-09-08 Martial Mazars

We propose a field-theoretical approach based on the thermodynamic perturbation theory and within it derive a grand thermodynamic potential of the inhomogeneous ionic fluid as a functional of electrostatic potential for an arbitrary…

Soft Condensed Matter · Physics 2022-05-25 Yu. A. Budkov , A. L. Kolesnikov

We develop an efficient Ewald method of molecular dynamics simulation for calculating the electrostatic interactions among charged and polar particles between parallel metallic plates, where we may apply an electric field with an arbitrary…

Soft Condensed Matter · Physics 2013-10-01 Kyohei Takae , Akira Onuki

The interaction between charged bodies in an ionic solution is a general problem in colloid physics and becomes a central topic in the study of biological systems where the electrostatic interaction between proteins, nucleic acids,…

Soft Condensed Matter · Physics 2015-05-13 Fabien Paillusson , Maria Barbi , Jean-Marc Victor

We study the ionic equilibria and interactions of neutral semi-permeable spherical shells immersed in electrolyte solutions, including polyions. Although the shells are uncharged, only one type of ions of the electrolyte can permeate them,…

Soft Condensed Matter · Physics 2012-07-24 Vladimir Lobaskin , Artem N. Bogdanov , Olga I. Vinogradova

We present a general Ginzburg-Landau theory of electrostatic interactions and electric field effects for the order parameter, the polarization, and the charge density. Electric field effects are then investigated in near-critical fluids and…

Soft Condensed Matter · Physics 2007-05-23 Akira Onuki

We describe a method to simulate the dynamics of charged colloidal particles suspended in a liquid containing dissociated ions and salt ions. Regimes of prime current interest are those of large volume fraction of colloids, highly charged…

Soft Condensed Matter · Physics 2008-01-28 J. Dobnikar , D. Haložan , M. Brumen , H. -H. von Grünberg , R. Rzehak

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

Analysis of PDEs · Mathematics 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon

Within the framework of a Modified Poisson-Boltzmann theory accounting for steric effects of microions, we prove analytically that the effective pair interactions between like-charge colloids immersed in a confined electrolyte are…

Soft Condensed Matter · Physics 2009-10-31 E. Trizac , J-L Raimbault

Classical theory of the electric double layer is based on the fundamental assumption of a dilute solution of point ions. There are a number of situations such as high applied voltages, high concentration of electrolytes, systems with…

Fluid Dynamics · Physics 2015-06-11 Brian D. Storey , Martin Z. Bazant

In simulating charged systems, it is often useful to treat some ionic components of the system at the mean-field level and solve the Poisson-Boltzmann (PB) equation to get their respective density profiles. The numerically intensive task of…

Soft Condensed Matter · Physics 2013-09-30 Vikram Jadhao , Francisco J. Solis , Monica Olvera de la Cruz

We theoretically investigate electrostatic properties between two charged surfaces with a grafted polyelectrolyte layer in an aqueous electrolyte solution by using the Poisson-Boltzmann approach accounting for ion partitioning. In order to…

Soft Condensed Matter · Physics 2022-02-07 Jun-Sik Sin

We explore the effect of steric interaction on the ionic density distribution near a charged hard wall. For weakly charged walls, small particles, and monovalent ions the mean-field Poisson-Boltzmann equation provides an excellent…

Soft Condensed Matter · Physics 2015-06-05 Derek Frydel , Yan Levin

We propose a manifestly Lorentz covariant, non-commutative Dirac equation for charged particles interacting with an electromagnetic field. The equation is formulated on the operator level, but operators are not composed through the normal…

High Energy Physics - Theory · Physics 2016-09-05 P. H. Williams , F. G. Scholtz

We present an accurate and efficient algorithm to calculate the electrostatic interaction of charged point particles with partially periodic boundary conditions that are confined along the nonperiodic direction by two metallic parallel…

Materials Science · Physics 2016-11-03 Samare Rostami , S. Alireza Ghasemi , Ehsan Nedaaee Oskoee