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The cell-model and its treatment on the Poisson-Boltzmann level are two important concepts in the theoretical description of charged macromolecules. In this brief contribution to the Proceedings of the NATO-ASI on ``Electrostatic Effects in…

Soft Condensed Matter · Physics 2007-05-23 Markus Deserno , Christian Holm

In this paper we propose a computational framework for the investigation of the correlated motion between positive and negative ions exposed to the attraction of a bubble surface that mimics the (oscillating) cell membrane. The correlated…

Computational Physics · Physics 2022-03-14 Antonio Raudino , Antonio Grassi , Giuseppe Lombardo , Giovanni Russo , Clarissa Astuto , Mario Corti

The computational study of chemical reactions in complex, wet environments is critical for applications in many fields. It is often essential to study chemical reactions in the presence of applied electrochemical potentials, taking into…

Materials Science · Physics 2016-01-20 G. Fisicaro , L. Genovese , O. Andreussi , N. Marzari , S. Goedecker

Recent measurements of microsphere interactions in diverse media suggest that the standard dielectric-continuum models of solution-phase interactions are fundamentally incomplete. Experiments indicate that the interactions of charged…

Soft Condensed Matter · Physics 2026-05-12 Ali Behjatian , Madhavi Krishnan

The electrostatic screening of charge in one-dimensional confinement leads to long-range breakdown in electroneutrality within a nanopore. Through a series of continuum simulations, we demonstrate the principles of electroneutrality…

Soft Condensed Matter · Physics 2021-11-10 J. Pedro de Souza , Amir Levy , Martin Z. Bazant

The solution of the Poisson--Boltzmann equation for counterions confined between two charged plates is known analytically up to a constant, namely, the ion density in the middle of the channel. This quantity is relevant also because it…

Computational Physics · Physics 2018-09-06 Andrei Bazarenko , Marcello Sega

Phase separation in salt-free symmetric mixtures of oppositely charged rodlike polyelectrolytes is studied using quasi-analytical calculations. Stability analyses for the isotropic-isotropic and the isotropic-nematic phase transitions in…

Soft Condensed Matter · Physics 2010-07-20 Rajeev Kumar , Debra Audus , Glenn H. Fredrickson

Using Poisson-Boltzmann equation and linear response theory, we derive an effective interaction potential due to a fixed charge distribution in a solution containing polyelectrolytes and point salt. We obtain an expression for the effective…

Soft Condensed Matter · Physics 2016-01-08 Sandipan Dutta , and Y. S. Jho

The adsorption kinetics of the cationic surfactant dodecyltrimethylammonium bromide at the air-water interface has been studied by the maximum bubble pressure method at concentrations below the critical micellar concentration. At short…

Soft Condensed Matter · Physics 2011-03-25 Hernan Ritacco , Dominique Langevin , Haim Diamant , David Andelman

Electrostatic interactions between macroions largely govern the equilibrium thermodynamic and dynamical properties of charge-stabilized colloidal suspensions and polyelectrolyte solutions. Predicting the properties of such complex,…

Soft Condensed Matter · Physics 2012-12-11 Alan R. Denton

We investigate the electrostatic interactions of zwitterionic membranes immersed in mixed electrolytes composed of mono- and multivalent ions. We show that the presence of monovalent salt is a necessary condition for the existence of a…

Soft Condensed Matter · Physics 2020-07-24 Sahin Buyukdagli , Rudolf Podgornik

In mixtures of colloids and nonadsorbing polyelectrolytes, a Donnan potential arises across the region between surfaces that are depleted of polyelectrolyte and the rest of the system. This Donnan potential tends to shift the…

Soft Condensed Matter · Physics 2022-10-27 Jasper Landman , Max P. M. Schelling , Remco Tuinier , Mark Vis

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

A nonlinear Poisson--Boltzmann equation with transmission boundary conditions at the interface between two materials is investigated. The model describes the electrostatic potential generated by a vector of ion concentrations in a periodic…

Analysis of PDEs · Mathematics 2018-10-22 Klemens Fellner , Victor Kovtunenko

Mobile charge in an electrolytic solution can in principle be represented as the divergence of ionic polarization. After adding explicit solvent polarization a finite volume of electrolyte can then be treated as a composite non-uniform…

Soft Condensed Matter · Physics 2021-03-03 Michiel Sprik

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

We present a mesoscopic model, based on the Boltzmann Equation, for the interaction between a solid wall and a non-ideal fluid. We present an analytic derivation of the contact angle in terms of the surface tension between the liquid-gas,…

Chaotic Dynamics · Physics 2007-06-13 R. Benzi , L. Biferale , M. Sbragaglia , S. Succi , F. Toschi

In this paper, we study electrostatic properties between two similar or oppositely charged surfaces immersed in an electrolyte solution by using mean-field approach accounting for solvent polarization and non-uniform size effect. Applying a…

Soft Condensed Matter · Physics 2022-02-11 Jun-Sik Sin

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

While the important role of electrostatic interactions in aqueous colloidal suspensions is widely known and reasonably well-understood, the relevance of charge in nonpolar suspensions remains mysterious. We demonstrate that particles can…

Soft Condensed Matter · Physics 2007-05-23 Ming F. Hsu , Eric R. Dufresne , David A. Weitz
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