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Related papers: A modified Poisson-Boltzmann theory: Effects of co…

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We present a continuation of our theoretical research into the influence of co-solvent polarizability on a differential capacitance of the electric double layer [EPL 111, 28002 (2015)]. We formulate a modified Poisson-Boltzmann theory,…

Soft Condensed Matter · Physics 2016-05-11 Yu. A. Budkov , A. L. Kolesnikov , M. G. Kiselev

Three analytic results are proposed for a linear form of the modified Poisson-Boltzmann equation in the theory of bulk electrolytes. Comparison is also made with the mean spherical approximation results. The linear theories predict a…

Statistical Mechanics · Physics 2019-06-28 C. W. Outhwaite , L. B. Bhuiyan

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

Within a dipolar Poisson-Boltzmann theory including electrostatic correlations, we consider the effect of explicit solvent structure on solvent and ion partition confined to charged nanopores. We develop a relaxation scheme for the solution…

Soft Condensed Matter · Physics 2015-10-28 Sahin Buyukdagli

The remarkably low experimental values of the capacitance data of carbon based materials in contact with water solvent needs to be explained from a microscopic theory in order to optimize the efficiency of these materials. We show that this…

Soft Condensed Matter · Physics 2015-06-04 Sahin Buyukdagli , Tapio Ala-Nissila

We present an extension to the Poisson-Boltzmann model where the dipolar features of solvent molecules are taken explicitly into account. The formulation is derived at mean-field level and can be extended to any order in a systematic…

Soft Condensed Matter · Physics 2012-01-31 Ariel Abrashkin , David Andelman , Henri Orland

This study employs modified Poisson-Boltzmann theory to systematically investigate the influence of zwitterionic osmolyte additives to an electrolyte solution on disjoining pressure and electric differential capacitance within charged…

Soft Condensed Matter · Physics 2025-06-30 Victoria A. Vasileva , Daria A. Mazur , Petr E. Brandyshev , Yury A. Budkov

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 description of a conducting medium in thermal equilibrium, such as an electrolyte solution or a plasma, involves nonlinear electrostatics, a subject rarely discussed in the standard electricity and magnetism textbooks. We consider in…

Chemical Physics · Physics 2018-08-01 C. G. Gray , P. J. Stiles

The behavior of electrolyte solutions close to a charged surface is studied theoretically. A modified Poisson-Boltzmann equation which takes into account the volume excluded by the ions in addition to the electrostatic interactions is…

Soft Condensed Matter · Physics 2007-05-23 I. Borukhov , D. Andelman , H. Orland

We study the variation of the dielectric response of ionic aqueous solutions as function of their ionic strength. The effect of salt on the dielectric constant appears through the coupling between ions and dipolar water molecules. On a…

Soft Condensed Matter · Physics 2013-11-19 Amir Levy , David Andelman , Henri Orland

The adsorption of large ions from solution to a charged surface is investigated theoretically. A generalized Poisson--Boltzmann equation, which takes into account the finite size of the ions is presented. We obtain analytical expressions…

Soft Condensed Matter · Physics 2009-10-31 I. Borukhov , D. Andelman , H. Orland

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $\sigma$ and the ionic…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

The work reviews on a general level various modified Poisson-Boltzmann equations and demonstrates their use on the specific system of charged particles at an interface. This system is special, first, because it exhibits the long-range…

Soft Condensed Matter · Physics 2012-11-14 Derek Frydel , Martin Oettel

Poisson-Boltzmann (PB) theory is the classic approach to soft matter electrostatics which has been applied to numerous problems of physical chemistry and biophysics. Its essential limitations are the neglect of correlation effects and of…

Soft Condensed Matter · Physics 2016-08-03 Sahin Buyukdagli , Ralf Blossey

Non-local electrostatic interactions associated with the finite solvent size and ion polarizability are investigated within the mean-field linear response theory. To this end, we introduce a field theoretic model of a polar liquid composed…

Soft Condensed Matter · Physics 2015-06-15 Sahin Buyukdagli , Tapio Ala-Nissila

The consequences of source charge and surface modulation are studied within the framework of the Poisson-Boltzmann theory of electrolyte solutions. Through a consideration of various examples, it is found that inherent modulation can lead…

Chemical Physics · Physics 2013-05-29 Jonathan Landy

A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a polar solvent and the correlated electric potential due to the…

Analysis of PDEs · Mathematics 2023-05-25 Ansgar Jüngel , Annamaria Massimini

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 the modification of gas phase ion polarizabilities upon solvation in polar solvents and ionic liquids. To this aim, we develop a classical electrostatic theory of charged liquids composed of solvent molecules modeled as…

Soft Condensed Matter · Physics 2015-06-15 Sahin Buyukdagli , Tapio Ala-Nissila
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