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The effective elasticity of highly charged stiff polyelectrolytes is studied in the presence of counterions, with and without added salt. The rigid polymer conformations may become unstable due to an effective attraction induced by…

Soft Condensed Matter · Physics 2009-10-31 Ramin Golestanian , Mehran Kardar , Tanniemola B. Liverpool

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

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

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

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

We present results of molecular dynamics simulations of strong, flexible polyelectrolyte chains in solution with added salt. The effect of added salt on the polyelectrolyte chain structure is fully treated for the first time as a function…

Soft Condensed Matter · Physics 2008-02-03 Mark J. Stevens , Steve Plimpton

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

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

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

We present a systematic statistical mechanical analysis of the conformational properties of a stiff polyelectrolyte chain with intrachain attractions that are due to counterion correlations. We show that the mean-field solution corresponds…

Soft Condensed Matter · Physics 2007-05-23 Per Lyngs Hansen , Rudi Podgornik , Daniel Svenšek , V. Adrian Parsegian

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 study the salt-dependent conformations of dilute flexible polyelectrolytes in solution via computer simulations. Low concentrations of multivalent salt induce the known conformational collapse of individual polyelectrolyte chains, but as…

Soft Condensed Matter · Physics 2009-11-11 Pai-Yi Hsiao , Erik Luijten

According to classical electrolyte theories interactions in dilute (low ion density) electrolytes decay exponentially with distance, with the Debye screening length the characteristic length-scale. This decay length decreases monotonically…

Soft Condensed Matter · Physics 2016-07-15 Alexander M. Smith , Alpha A. Lee , Susan Perkin

The electrostatic stability of electron-positron plasmas is investigated in the point-dipole and Z-pinch limits of dipole geometry. The kinetic dispersion relation for sub-bounce-frequency instabilities is derived and solved. For the…

Plasma Physics · Physics 2018-04-04 Alexey Mishchenko , Gabriel Plunk , Per Helander

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 perform extensive molecular dynamics simulations of a highly charged flexible polyelectrolyte (PE) chain in a poor solvent for the case when the chain is in a collapsed state and the electrostatic interactions, characterized by the…

Soft Condensed Matter · Physics 2016-09-22 Anvy Moly Tom , Satyavani Vemparala , R Rajesh , Nikolai Brilliantov

We study the bending rigidity of highly charged stiff polyelectrolytes, for both a single chain and many chains forming a bundle. A theory is developed to account for the interplay between competitive binding of counterions and charge…

Soft Condensed Matter · Physics 2009-11-07 Bae-Yeun Ha , D. Thirumalai

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

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

A lattice of uniformly charged, infinitesimally thin, rods decorated with an ordered array of counterions exhibits anomalous behavior as the spacing between the rods is varied. In particular, the counterion lattice undergoes a sequence of…

Soft Condensed Matter · Physics 2009-11-07 Joseph Rudnick , David Jasnow
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