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A weakly charged flexible polyelectrolyte chain in a neutral spherical cavity is analyzed using self-consistent field theory (SCFT) within an explicit solvent model. Assuming the radial symmetry for the system, it is found that the…

Soft Condensed Matter · Physics 2009-11-13 Rajeev Kumar , M. Muthukumar

The behavior of polyelectrolytes and polyampholytes in semi-dilute solutions is investigated theoretically. Various statistical charge distributions along the polyelectrolyte chains are considered: smeared, annealed, permuted and quenched.…

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

A new quantitative theory for polyelectrolytes in salt free dilute solutions is developed. Depending on the electrostatic interaction strength, polyelectrolytes in solutions can undergo strong stretching (with polyelectrolyte dimension…

Soft Condensed Matter · Physics 2009-10-31 N. V. Brilliantov , D. V. Kuznetsov , R. Klein

In this study we use non-equilibrium thermodynamics to systematically derive a phase-field model of a polyelectrolyte gel coupled to a hydrodynamic model for a salt solution surrounding the gel. The governing equations for the gel account…

Soft Condensed Matter · Physics 2022-03-02 Giulia L. Celora , Matthew G. Hennessy , Andreas Münch , Barbara Wagner , Sarah L. Waters

We investigate the properties of rigid polyelectrolyte solutions in presence of monovalent salt. The free energy within the Debye-H\"uckel-Bjerrum (DHBj) theory [M. E. Fisher and Y. Levin, {\it Phys. Rev. Lett.} 71, 3826 (1993)] is…

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

We present a simple description on the electrophoretic dynamics of polyelectrolytes going through designed channels with narrow constrictions of slit geometry. By analyzing rheological behaviours of the stuck chain, which is coupled to the…

Soft Condensed Matter · Physics 2009-11-11 Takahiro Sakaue

We investigate the equilibrium charge distribution along a single annealed polyelectrolyte chain under different conditions. The coupling between the conformation of the chain and the local charge distribution is described for various…

Soft Condensed Matter · Physics 2019-08-17 Martin Castelnovo , Pierre Sens , Jean-Francois Joanny

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

Understanding the behavior of charged complex fluids is crucial for a plethora of important industrial, technological, and medical applications. Using coarse-grained molecular dynamics simulations, here we investigate the properties of a…

Soft Condensed Matter · Physics 2022-08-04 Debarshee Bagchi

We investigate the complexation of a highly charged sphere with a long flexible polyelectrolyte, \textit{both negatively charged} in salt free environment. Electroneutrality is insured by the presence of divalent counterions. Using…

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

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

This chapter deals with charged polymers (polyelectrolytes) in solution and at surfaces. The behavior of polyelectrolytes is markedly different from that of neutral polymers. In bulk solutions, i.e. disregarding the surface effect, there…

Soft Condensed Matter · Physics 2009-09-25 Roland R. Netz , David Andelman

We study the electrokinetics of a single polyelectrolyte chain in salt solution using hydrodynamic simulations. The salt-dependent chain mobility compares well with experimental DNA data. The mobility of condensed counterions exhibits a…

Soft Condensed Matter · Physics 2009-05-26 Sebastian Fischer , Ali Naji , Roland R. Netz

We examine the interactions between polyelectrolytes (PEs) and uncharged substrates at conditions corresponding to a dielectric discontinuity between the aqueous solution and the substrate. To this end, we vary the relevant system…

Soft Condensed Matter · Physics 2024-12-03 Hossein Vahid , Alberto Scacchi , Maria Sammalkorpi , Tapio Ala-Nissila

Relevant information about the nature of the dynamics of ions in electrolytes can be obtained by studying the nonlinear dependence on an applied electric field. Here we use molecular dynamics (MD) simulations to study the field effects for…

Soft Condensed Matter · Physics 2025-03-21 Alina Wettstein , Diddo Diddens , Andreas Heuer

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

We provide numerical evidence that hydrodynamic interactions are screened for charged polymers in salt solution on time scales below the Zimm time. At very short times, a crossover to hydrodynamic behavior is observed. Our conclusions are…

Soft Condensed Matter · Physics 2008-10-01 Jens Smiatek , Friederike Schmid

Starting with a model Hamiltonian, we study using the uniform expansion method conformational behavior of polyelectrolytes in the presence and absence of salt. The uniform expansion method yields all the important local length scales in the…

Statistical Mechanics · Physics 2009-09-22 Souvik De , Arti Dua

Aggregation of stiff polyelectrolytes in solution and angle- and distance-dependent potential of mean force between two like-charged rods are studied in the presence of 3-valent salt using molecular dynamics simulations. In the bulk…

Soft Condensed Matter · Physics 2009-03-25 Sarah Mohammadinejad , Hossein Fazli , Ramin Golestanian

We have performed molecular dynamics simulations to study the effect of an external electric field on a macroion in the solution of multivalent Z:1 salt. To obtain plausible hydrodynamics of the medium, we explicitly make the simulation of…

Soft Condensed Matter · Physics 2009-11-07 Motohiko Tanaka , A. Yu. Grosberg