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Related papers: The Osmotic Coefficient of Rod-like Polyelectrolyt…

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We present theoretical and numerical studies on stiff, linear polyelectrolytes within the framework of the cell model. We first review analytical results obtained on a mean-field Poisson-Boltzmann level, and then use molecular dynamics…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Christian Holm

Osmotic coefficients, individual and mean activity coefficients of primitive model electrolyte solutions are computed at different molar concentrations using the symmetric Poisson-Boltzmann and modified Poisson-Boltzmann theories. The…

Statistical Mechanics · Physics 2018-06-27 A. O. Quiñones , L. B. Bhuiyan , C. W. Outhwaite

A self-consistent mode-coupling theory is presented for the viscosity of solutions of charged rod-like polymers. The static structure factor used in the theory is obtained from polymer integral equation theory; the Debye-H\"{u}ckel…

Soft Condensed Matter · Physics 2009-11-10 Kunimasa Miyazaki , Biman Bagchi , Arun Yethiraj

We investigate the phenomenon of counterion condensation in a solution of highly charged rigid polyelectrolytes within the cell model. A method is proposed which -- based on the charge distribution function -- identifies both the fraction…

Soft Condensed Matter · Physics 2009-10-31 Markus Deserno , Christian Holm , Sylvio May

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

Structural and thermodynamic properties of the model solution containing charged oligomers and the equivalent number of counterions were studied by means of the canonical Monte Carlo simulation technique. The oligomers are represented as…

Soft Condensed Matter · Physics 2012-02-21 T. Sajevic , J. Rescic , V. Vlachy

We study theoretically the osmotic pressure of a suspension of charged objects (e.g., colloids, polyelectrolytes, clay platelets, etc.) dialyzed against an electrolyte solution using the cell model and linear Poisson-Boltzmann (PB) theory.…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Hans-Hennig von Grunberg

Molecular dynamics simulation and recent theory are used to examine density correlations in semidilute solutions of highly charged, intrinsically flexible and hydrophilic polyelectrolytes in low salt. Quantitative comparison with no…

Soft Condensed Matter · Physics 2021-07-06 James P. Donley , David R. Heine

Ionic microgels are soft colloidal particles, composed of crosslinked polymer networks, that ionize and swell when dispersed in a good solvent. Swelling of these permeable, compressible particles involves a balance of electrostatic,…

Soft Condensed Matter · Physics 2020-01-29 Alan R. Denton , Mohammed O. Alziyadi

The association of ions in electrolyte solutions at very low concentration and low temperature is studied using computer simulations and quasi-chemical ion-pairing theory. The specific case of the restricted primitive model (charged hard…

Soft Condensed Matter · Physics 2011-09-23 Chantal Valeriani , Philip J. Camp , Jos W. Zwanikken , René van Roij , Marjolein Dijkstra

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 use Molecular Dynamics simulations to study attractive interactions and the underlying ionic correlations between parallel like-charged rods in the absence of additional salt. For a generic bulk system of rods we identify a reduction of…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Axel Arnold , Christian Holm

An approximate analytical solution to the fluctuation potential problem in the modified Poisson-Boltzmann theory of electrolyte solutions in the restricted primitive model is presented. The solution is valid for all inter-ionic distances,…

Statistical Mechanics · Physics 2017-12-15 E. O. Ulloa-Dávila , L. B. Bhuiyan

Electrostatic correlations between ions dissolved in water are known to impact their transport properties in numerous ways, from conductivity to ion selectivity. The effects of these correlations on the solvent itself remain, however, much…

Soft Condensed Matter · Physics 2024-01-31 Paul Robin

The excess entropy of restricted primitive model electrolytes is calculated using a potential based approach through the symmetric Poisson-Boltzmann and the modified Poisson-Boltzmann theories. The theories are utilized in conjunction with…

Statistical Mechanics · Physics 2025-04-01 S. Lamperski , L. B. Bhuiyan , C. W. Outhwaite , R. Gorniak

Correlated anion and cation motion can significantly reduce the overall ion conductivity in electrolytes versus the ideal conductivity calculated based on the diffusion constants alone. Using coarse-grained molecular dynamics simulations,…

Soft Condensed Matter · Physics 2020-06-01 Kuan-Hsuan Shen , Lisa M. Hall

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 mathematical theory of integrable Painleve/Toda type systems sheds new light on the behavior of solutions to the Poisson-Boltzmann equation for the potential due to a long rod-like macroion. We investigate here the case of symmetric…

Soft Condensed Matter · Physics 2009-11-11 G. Tellez , E. Trizac

We present an experimentally guided, multi-phase, multi-species polyelectrolyte gel model to make quantitative predictions on the electro-chemical properties of articular cartilage. The mixture theory consists of two different types of…

Tissues and Organs · Quantitative Biology 2013-08-22 Sarthok Sircar , Elizabeth Aisenbrey , Stephanie J. Bryant , David M. Bortz

We develop a first-principle equation of state of salt-free polyelectrolyte solution in the limit of infinitely long flexible polymer chains in the framework of a field-theoretical formalism beyond the linear Debye-Hueckel theory and…

Soft Condensed Matter · Physics 2015-08-04 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , E. A. Nogovitsyn , M. G. Kiselev
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