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Related papers: Self-Consistent Field study of Polyelectrolyte Bru…

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Light scattering and viscometric measurements on weak polyelectrolytes show two important aspects of counterion condensation, namely, non-monotonic variation in the polyelectrolyte size with the increase in the electrostatic strength, and,…

Statistical Mechanics · Physics 2014-08-12 Prasanta Kundu , Arti Dua

We consider counterions in the presence of a single planar surface with a spatially inhomogeneous charge distribution using Monte-Carlo simulations and strong-coupling theory. For high surface charges, multivalent counterions, or pronounced…

Soft Condensed Matter · Physics 2009-11-07 Andre G Moreira , Roland R Netz

Mean-field electrostatics is used to calculate the bending moduli of an electric double layer for fixed surface charge density of a macroion in a symmetric 1:1 electrolyte. The resulting expressions for bending stiffness, Gaussian modulus,…

Soft Condensed Matter · Physics 2018-08-06 Guilherme Volpe Bossa , Bjorn K. Berntson , Sylvio May

We utilize the self-consistent field theory to explore the mechanical and electrical properties of charged surfaces immersed in polyelectrolyte solutions that could be potentially useful for electrochemical applications. Our research…

Soft Condensed Matter · Physics 2023-08-25 Yu. A. Budkov , N. N. Kalikin

We consider the complexation of highly charged semiflexible polyelectrolytes with oppositely charged macroions. On the basis of scaling arguments we discuss how the resulting complexes depend on the persistence length of the…

Soft Condensed Matter · Physics 2009-11-07 H. Schiessel , R. F. Bruinsma , W. M. Gelbart

We present a theory for the equilibrium structure of polyelectrolyte solutions. The main element is a simple, new optimization scheme that allows theories such as the random phase approximation (RPA) to handle the harsh repulsive forces…

Soft Condensed Matter · Physics 2009-11-10 James P. Donley , David R. Heine , David T. Wu

We applied the mean-field approach to a columnar bundle assembled by the parallel arrangement of stiff polyelectrolyte rods in a salt bath. The electrostatic potential can be divided into two regions: inside the bundle for condensed…

Soft Condensed Matter · Physics 2015-05-18 Takuya Saito , Kenichi Yoshikawa

Self-consistent field approach is used to model a single end-tethered polymer chain on a substrate subject to various forces in three dimensions. Starting from a continuous Gaussian chain model, the following perturbations are considered:…

The standard model for diffuse charge phenomena in colloid science, electrokinetics and biology is the Poisson-Boltzmann mean-field theory, which breaks down for multivalent ions and large surface charge densities due to electrostatic…

Soft Condensed Matter · Physics 2020-02-14 J. Pedro de Souza , Martin Z. Bazant

This work presents a general and unified theory describing block copolymer self-assembly in the presence of free surfaces and nanoparticles in the context of Self-Consistent Filed Theory. Specifically, the derived theory applies to free and…

Soft Condensed Matter · Physics 2021-12-17 Daniil Bochkov , Ivana Bagaric , Gaddiel Ouaknin , Frederic Gibou

The adsorption of highly \textit{oppositely} charged flexible polyelectrolytes onto a charged spherical surface is investigated by means of Monte Carlo simulations in a fashion which resembles the layer-by-layer deposition technique…

Soft Condensed Matter · Physics 2007-05-23 Rene Messina , Christian Holm , Kurt Kremer

The self-consistent field theory (SCFT) is used to study the mean potential near a charged plate inside a $m:-n$ electrolyte. A perturbation series is developed in terms of $g = 4 \pi b/\ell_{\rm {\scriptscriptstyle DB}}$, where $b,…

Soft Condensed Matter · Physics 2016-11-09 Mingnan Ding , Bing S. Lu , Xiangjun Xing

Using self-assembly techniques, x-ray reflectivity measurements, and computer simulations, we study the effective interaction between charged polymer rods and surfaces. Long-time Brownian dynamics simulations are used to measure the…

Soft Condensed Matter · Physics 2009-10-31 R. Jay Mashl , Niels Grønbech-Jensen , M. R. Fitzsimmons , M. Lütt , DeQuan Li

Mean-field theory is used to model polyelectrolyte adsorption and the possibility of overcompensation of charged surfaces. For charged surfaces that are also chemically attractive, the overcharging is large in high salt conditions,…

Soft Condensed Matter · Physics 2009-11-10 Adi Shafir , David Andelman

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

Mean-field theory and scaling arguments are presented to model polyelectrolyte adsorption from semi-dilute solutions onto charged surfaces. Using numerical solutions of the mean-field equations, we show that adsorption exists only for…

Soft Condensed Matter · Physics 2009-11-10 A. Shafir , D. Andelman , R. R. Netz

Properties of polyelectrolytes in tetravalent salt solutions are intensively investigated by a coarse-grained model. The concentration of salt and the size of tetravalent counterions are found playing a decisive role on chain properties. If…

Soft Condensed Matter · Physics 2009-09-29 Pai-Yi Hsiao

Interplay of Coulomb interaction energy, free ion entropy, and conformational elasticity is a fascinating aspect in polyelectrolytes (PEs). We develop a theory for complexation of two oppositely charged PEs, a process known to be the…

Soft Condensed Matter · Physics 2022-09-15 Soumik Mitra , Arindam Kundagrami

Counterion adsorption on a flexible polyelectrolyte chain in a spherical cavity is considered by taking a "permuted" charge distribution on the chain so that the "adsorbed" counterions are allowed to move along the backbone. We compute the…

Soft Condensed Matter · Physics 2009-03-27 Rajeev Kumar , Arindam Kundagrami , M. Muthukumar

Polydisperse brushes obtained by reversible radical chain polymerization reaction onto a solid substrate with surface-attached initiators, are studied by means of an off-lattice Monte Carlo algorithm of living polymers (LP). Various…

Statistical Mechanics · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau