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Related papers: Ionic Size Effects on the Poisson-Boltzmann Theory

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Ionic microgel particles, when dispersed in a solvent, swell to equilibrium sizes that are governed by a balance between electrostatic and elastic forces. Tuning of particle size by varying external stimuli, such as $p$H, salt…

Soft Condensed Matter · Physics 2016-10-27 Alan R. Denton , Qiyun Tang

We present the theory and implementation of a Poisson-Boltzmann implicit solvation model for electrolyte solutions. This model can be combined with arbitrary electronic structure methods that provide an accurate charge density of the…

Computational Physics · Physics 2020-01-08 Christopher J. Stein , John M. Herbert , Martin Head-Gordon

We present a theory of effective electrostatic interactions in polydisperse suspensions of charged macroions, generalizing to mixtures a theory previously developed for monodisperse suspensions. Combining linear response theory with a…

Soft Condensed Matter · Physics 2013-08-20 Jun Kyung Chung , Alan R. Denton

Spatial interaction effects between charge carriers in ionic systems play a sizable role beyond a classical Maxwellian description. We develop a nonlocal, two-fluid, hydrodynamic theory of charges and study ionic plasmon effects, i. e.…

Optics · Physics 2020-06-30 Christin David

The ionic adsorption around a weakly charged spherical colloid, immersed in size-asymmetric 1:1 and 2:2 salts, is studied. We use the primitive model of an electrolyte to perform Monte Carlo simulations as well as theoretical calculations…

Soft Condensed Matter · Physics 2008-03-29 G. I. Guerrero-García , E. González-Tovar , M. Chávez-Páez , Marcelo Lozada-Cassou

Polymer electrolytes typically exhibit diminished ionic conductivity due to the presence of correlation effects between the cations and anions. Microscopically, transient ionic aggregates, e.g. {\it ion-pairs}, {\it ion-triplets} or higher…

Materials Science · Physics 2008-04-15 Arijit Maitra , Andreas Heuer

In situations involving large potentials or surface charges, the Poisson Boltzman(PB) equation has shortcomings because it neglects ion-ion interactions and steric effects. This has been widely recognized by the electrochemistry community,…

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

In recent years, ionic microgels have garnered much attention due to their unique properties, especially their stimulus-sensitive swelling behavior. The tunable response of these soft, permeable, compressible, charged colloidal particles is…

Soft Condensed Matter · Physics 2023-12-18 Mohammed O. Alziyadi , Alan R. Denton

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

Realistic charged macromolecules are characterized by discrete (rather than homogeneous) charge distributions. We investigate the effects of surface charge discretization on the counterion distribution at the level of mean-field theory…

Soft Condensed Matter · Physics 2007-05-23 Mark L. Henle , Christian D. Santangelo , Deena M. Patel , Philip A. Pincus

A simple technique is proposed for numerically determining equilibrium ion distribution functions belonging to free energies of the Poisson-Boltzmann type. The central idea is to perform a conventional Monte-Carlo simulation using the free…

Soft Condensed Matter · Physics 2009-10-31 Markus Deserno

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

Non-equilibrium processes following the irradiation of atomic clusters with short pulses of vacuum ultraviolet radiation are modelled using kinetic Boltzmann equations. The dependence of the ionization dynamics on the cluster size is…

Plasma Physics · Physics 2009-11-13 B. Ziaja , H. Wabnitz , E. Weckert , T. Möller

Within the quasichemical approach, the hydration free energy of an ion is decomposed into a chemical term accounting for ion specific ion-water interactions within the coordination sphere and nonspecific contributions accounting for packing…

Biological Physics · Physics 2011-06-03 Safir Merchant , D. Asthagiri

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

The Debye-H\"uckel equation is a fundamental physical model in chemical thermodynamics that describes the free energy (chemical potential, activity) of an ion in electrolyte solutions at variable salt concentration, temperature, and…

Chemical Physics · Physics 2018-11-14 Chin-Lung Li , Jinn-Liang Liu

The paper presents a theoretical work on the dynamics of Coulomb explosion for spherical nanoplasmas composed by two different ion species. Particular attention has been dedicated to study the energy spectra of the ions with the larger…

Plasma Physics · Physics 2016-03-02 E. Boella , B. Peiretti Paradisi , A. D'Angola , G. Coppa , L. O. Silva

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

In spite of their enormous applications as alternative energy storage devices and lubricants, room temperature ionic liquids (ILs) still pose many challenges from a pure scientific view point. We develop an IL microscopic theory in terms of…

Soft Condensed Matter · Physics 2020-02-05 Yael Avni , Ram M. Adar , David Andelman

This paper is devoted to the homogenization (or upscaling) of a system of partial differential equations describing the non-ideal transport of a N-component electrolyte in a dilute Newtonian solvent through a rigid porous medium. Realistic…

Analysis of PDEs · Mathematics 2014-10-14 Gregoire Allaire , Robert Brizzi , Jean-Francois Dufreche , Andro Mikelic , Andrey Piatnitski