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Related papers: Variational theory for a single polyelectrolyte ch…

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We use large scale Monte Carlo simulations to test scaling theories for the electrostatic persistence length $l_e$ of isolated, uniformly charged polymers with \DH intrachain interactions in the limit where the screening length…

Soft Condensed Matter · Physics 2009-11-07 R. Everaers , A. Milchev , V. Yamakov

We calculate the dependence of the electrostatic persistence length, l_e, of weakly charged flexible polyelectrolyte chains using a self-consistent variational theory. The variation of l_e with \kappa, the inverse Debye screening length, is…

Statistical Mechanics · Physics 2009-10-31 B. -Y. Ha , D. Thirumalai

Monte Carlo simulations and variational calculations using a Gaussian ansatz are applied to a model consisting of a flexible linear polyelectrolyte chain as well as to an intrinsically stiff chain with up to 1000 charged monomers. Addition…

Soft Condensed Matter · Physics 2016-08-15 M. Ullner , B. Jönsson , C. Peterson , O. Sommelius , B. Söderberg

The persistence length of a single, strongly charged, stiff polyelectrolyte chain is investigated theoretically. Path integral formulation is used to obtain the effective electrostatic interaction between the monomers. We find significant…

Soft Condensed Matter · Physics 2009-11-07 Gil Ariel , David Andelman

Many charged polymers, including nucleic acids, are locally stiff. Their bending rigidity -- quantified by the persistence length --, depends crucially on Coulombic features, such as the ionic strength of the solution which offers a…

Soft Condensed Matter · Physics 2016-12-21 E. Trizac , T. Shen

We address the long standing problem of the dependence of the electrostatic persistence length $l_e$ of a flexible polyelectrolyte (PE) on the screening length $r_s$ of the solution within the linear Debye-Huckel theory. The standard Odijk,…

Soft Condensed Matter · Physics 2009-11-07 T. T. Nguyen , B. I. Shklovskii

We investigate the electrostatic contribution to the persistence length of a semiflexible polymer chain whose segments interact via a screened Debye-H\" uckel dipolar interaction potential. We derive the expressions for the renormalized…

Soft Condensed Matter · Physics 2009-11-10 R. Podgornik

A variational approach is considered to calculate the free energy and the conformational properties of a polyelectrolyte chain in $d$ dimensions. We consider in detail the case of pure Coulombic interactions between the monomers, when…

Soft Condensed Matter · Physics 2007-05-23 G. Migliorini , V. G. Rostiashvili , T. A. Vilgis

The response of a semiflexible polyelectrolyte chain to stretching in the regimes of moderate and weak screening is studied theoretically, with a special focus on DNA experiments. By using the nonlinear Poisson--Boltzmann description of…

Soft Condensed Matter · Physics 2007-05-23 Alexei V. Tkachenko

The persistence length of a single, intrinsically rigid polyelectrolyte chain, above the Manning condensation threshold is investigated theoretically in presence of added salt. Using a loop expansion method, the partition function is…

Statistical Mechanics · Physics 2009-11-07 Gil Ariel , David Andelman

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 study the effect of electrostatic interactions on the distribution function of the end-to-end distance of a single polyelectrolyte chain in the rodlike limit. The extent to which the radial distribution function of a polyelectrolyte is…

Soft Condensed Matter · Physics 2009-11-10 Roya Zandi , Joseph Rudnick , Ramin Golestanian

This paper discusses the elastic behavior of a single polyelectrolyte chain. A simple scaling analysis as in self avoiding walk chains are not possible, because three interplaying relevant length scales are involved, i.e., the Debye…

Statistical Mechanics · Physics 2009-10-30 P. Haronska , J. Wilder , T. A. Vilgis

Conformation of single polyelectrolytes in tetravalent salt solutions is investigated under the framework of a coarse-grained model, using Langevin dynamics simulations. The chain size, studied by the radius of gyration, shows three…

Soft Condensed Matter · Physics 2009-09-29 Yu-Fu Wei , Pai-Yi Hsiao

We study the effect of electrostatic interactions on the distribution function of the end-to-end distance of a single polyelectrolyte chain in a rodlike configuration. We investigate the validity of the concept of electrostatic persistence…

Soft Condensed Matter · Physics 2009-11-07 Roya Zandi , Joseph Rudnick , Ramin Golestanian

Semiflexible macromolecules in dilute solution under very good solvent conditions are modeled by self-avoiding walks on the simple cubic lattice ($d=3$ dimensions) and square lattice ($d=2$ dimensions), varying chain stiffness by an energy…

Soft Condensed Matter · Physics 2015-05-30 Hsiao-Ping Hsu , Kurt Binder

We perform extensive molecular dynamics simulations of a charged polymer in a good solvent in the regime where the chain is collapsed. We analyze the dependence of the gyration radius $R_g $ on the reduced Bjerrum length $\ell_B$ and find…

Soft Condensed Matter · Physics 2016-10-05 Anvy Moly Tom , Satyavani Vemparala , R. Rajesh , Nikolai V. Brilliantov

A self-consistent variational theory for globules based on the uniform expansion method is presented. This method, first introduced by Edwards and Singh to estimate the size of a self-avoiding chain, is restricted to a good solvent regime,…

Soft Condensed Matter · Physics 2009-11-11 Arti Dua , Thomas A. Vilgis

1. Introduction 2. Charged chains at infinite dilution - asymptotic properties 2.1 Definition of the model and Flory-like calculation 2.2 Variational approaches 2.3 Renormalization group calculations 2.4 Screening of electrostatic…

Condensed Matter · Physics 2007-05-23 Jean-Louis Barrat , Jean-Francois Joanny

We report on a study of the shape of a stiff, charged rod that is subjected to equal and opposite force couples at its two ends. Unlike a neutral elastic rod, which forms a constant curvature configuration under such influences, the charged…

Soft Condensed Matter · Physics 2009-11-07 Roya Zandi , Joseph Rudnick , Ramin Golestanian
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