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Knots on ring polymers tend to be tight. For knots on charged polymers (polyelectrolytes), electrostatic repulsion among the monomers is considered to enhance the persistence length and further localize the knots. However, the effects of…

Soft Condensed Matter · Physics 2023-02-03 Shensheng Chen , Tingtao Zhou

We present a model for describing flexible polyelectrolytes in a good solvent a nd in the presence of monovalent salt . The molecule composed by $N$ monomers is characterized by the end to end distanc e $R_e=b (Z-1)^\gamma$ and the number…

Statistical Mechanics · Physics 2009-11-10 Paulo S. Kuhn , Marcia C. Barbosa

A simple model is presented to calculate the potential of mean force between a polyion and a multivalent counterion inside a polyelectrolite solution. We find that under certain conditions the electrostatic interactions can lead to a strong…

Statistical Mechanics · Physics 2009-11-11 Jürgen F. Stilck , Yan Levin

The association between polyelectrolytes (PEs) of the same size but opposite charge is systematically studied in terms of the potential of mean force (PMF) along their center-of-mass reaction coordinate via coarse-grained, implicit-solvent,…

Soft Condensed Matter · Physics 2017-06-05 Xiao Xu , Matej Kanduč , Jianzhong Wu , Joachim Dzubiella

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

Dilute solutions of strongly charged polymer electrolytes undergo, upon addition of multivaltent salt to the solutions, a phase transition from extended conformations to collapsed or bundled ones. Upon further addition of salt they…

Soft Condensed Matter · Physics 2009-11-07 Francisco J. Solis

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

The structure and stability of strongly charged complex fibers formed by complexation of a single long semi-flexible polyelectrolyte (PE) chain and many oppositely charged spherical macroions are investigated numerically at the ground-state…

Soft Condensed Matter · Physics 2015-03-18 Hoda Boroudjerdi , Ali Naji , Roland R. Netz

A highly-charged spherical colloid in a salt-free environment exerts such a powerful attraction on its counterions that a certain fraction condenses onto the surface of a particle. The degree of condensation depends on the curvature of the…

We study the reentrant condensation of polyelectrolytes in dilute solutions of small multivalent salts, whose phase-transition mechanism remains poorly understood. Motivated by recent full atomic simulation results reported by the Caltech…

Soft Condensed Matter · Physics 2024-05-13 Huaisong Yong , Bilin Zhuang , Sissi de Beer

We report results from a molecular dynamics (MD) simulation on the conformations of a long flexible polyelectrolyte complexed to a charged sphere, \textit{both negatively charged}, in the presence of neutralizing counterions in the strong…

Soft Condensed Matter · Physics 2009-11-07 Rene Messina , Christian Holm , Kurt Kremer

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

Complexation of a long flexible polyelectrolyte (PE) molecule with oppositely charged spherical particles such as colloids, micelles, or globular proteins in a salty water solution is studied. PE binds spheres winding around them, while…

Soft Condensed Matter · Physics 2009-10-31 Toan T. Nguyen , Boris I. Shklovskii

We study the properties of polyelectrolyte chains under different solvent conditions, using a variational technique. The free energy and the conformational properties of a polyelectrolyte chain are studied minimizing the free energy $F_N$,…

Soft Condensed Matter · Physics 2009-11-07 Gabriele Migliorini , Vakhtang Rostiashvili , Namkyung Lee , Thomas A. Vilgis

We analyze solutions of strongly charged chains bridged by linkers such as multivalent ions. The gelation induced by the strong short range electrostatic attractions is dramatically suppressed by the long range electrostatic correlations…

Condensed Matter · Physics 2009-11-07 A. V. Ermoshkin , M. Olvera de la Cruz

Polyelectrolytes in poor solvents show a necklace structure where collapsed polymer pearls are linked to stretched strings. In the present paper the elasticity of such chains is studied in detail. Different deformation regimes are…

Soft Condensed Matter · Physics 2007-05-23 T. A. Vilgis , A. Johner , J. -F. Joanny

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

Nucleic acids are negatively charged macromolecules and their structure properties are strongly coupled to metal ions in solutions. In this paper, the salt effects on the flexibility of single stranded (ss) nucleic acid chain ranging from…

Biological Physics · Physics 2015-03-13 Feng-Hua Wang , Yuan-Yan Wu , Zhi-Jie Tan

The complexation of a polyelectrolyte with an oppositely charged spherical macroion is studied for both salt free and salty solutions. When a polyelectrolyte winds around the macroion, its turns repel each other and form an almost…

Soft Condensed Matter · Physics 2009-10-31 T. T. Nguyen , B. I. Shklovskii

The interaction between polyelectrolyte and ionic surfactant is of great importance in different areas of chemistry and biology. In this paper we present a theory of polyelectrolyte ionic-surfactant solutions. The new theory successfully…

Condensed Matter · Physics 2009-10-31 Paulo S. Kuhn , Yan Levin , Marcia C. Barbosa