Electrostatic contribution to the persistence length of a polyelectrolyte

Bret, Marc Le

doi:10.1063/1.443027

Cited by 151 publications

(108 citation statements)

References 18 publications

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“…Consistently with previous studies of the problem [13] [14], the OSF result for the electrostatic renormalization of the persistence length is not applicable in the nonlinear regime, and in particular the scaling l * p − l p ∼ r 2 s is not valid. However, we have explicitly demonstrated that the OSF formula is formally correct if the actual line charge density is replaced with the effective one.…”

Section: Discussionsupporting

confidence: 82%

“…(1) and (17) numerically, we found function Λ (nonlin) el (q) for various regimes. Its low-q asymptotic may significantly deviate from classical OSF result, which is consistent with the earlier studies [13] [14]. One could interpret this deviation in terms of renormalized effective charge, by defining the effective Manning parameter α (ef f ) so that in the limit qr s ≪ 1,…”

Section: Chargesupporting

confidence: 86%

“…In order to apply our results for the case of strongly-charged polymers like ds-or ss-DNA, one has to go beyond the linearized DH approximation. Early attempts of such a generalization go back to early 80s [13] [14]. At that time, it was shown by the numerical studies that effective rigidity clearly deviates from the linear OSF theory.…”

Section: Chargementioning

confidence: 99%

“…in strongly nonlinear regime. Compared to other aspects of the problem, its non-linear generalization has attracted only a limited attention since the early works back in '80s [13] [14]. In this paper, we study the electrostatic effects on the elastic response of strongly charged WLC, in the regimes of moderate and weak screening.…”

Section: Introductionmentioning

confidence: 99%

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Electrostatic effects in DNA stretching

Tkachenko

2006

Phys. Rev. E

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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 electrostatic self-interactions of the chain, we explicitly demonstrate the applicability of the concept of effective charge to certain aspects of the problem. This charge can be extracted from the far-field asymptotic behavior of the electrostatic potential of the fully aligned chain. Surprisingly, in terms of the effective charge, the electrostatically renormalized persistence length can be formally described by the classical Odijk-Skolnick-Fixman (OSF) formula, whose domain of applicability is normally limited to linearized Debye Huckel (DH) approximation. However, the short scale behavior of the chain in the nonlinear regime deviates from the of DH-based result, even upon the charge renormalization. This difference is revealed in the calculated stretching curves for strongly charged DNA. These results are in good agreement with the recent experiments. In the limit of weak screening we predict the elastic response to have a distinctive two-stage character, with a peculiar intermediate "unstretchable" regime.

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Section: Discussionsupporting

confidence: 82%

Section: Chargesupporting

confidence: 86%

Section: Chargementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electrostatic effects in DNA stretching

Tkachenko

2006

Phys. Rev. E

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“…The "LF modelnl developed by Fixmann (1982) and Le Bret (1982), extended the Krathy-Prorod (KP) wom-iike model for polymers in solution to include the effects of electrostatic charge. The LF model assumes that the polymer chain can be described by a worm-like tube whose stiffness is increased by the electrostatic charges indigenous to the polymer.…”

Section: Dilute Solutionsmentioning

confidence: 99%

Rheological Properties of Gellan Gels Containing Filler Particles

Jampen¹,

Britt²,

Yada³

et al. 2001

Journal of Food Science

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: Influences of rigid (glass) and deformable (gellan) particles dispersed in gellan gels were studied to better understand the effect of structure on the rheological properties of model composite foods. Composites with inclusions at 0%, 10%, 20%, and 30% volume fractions (VF) were tested under small deformation oscillatory shear. In gels containing rigid particles, the dynamic shear storage modulus (G′) decreased initially, exhibited a minimum around 20% VF, then increased at 30% VF behavior that was attributed to physical interactions among particles. In gels containing deformable particles, the linear decrease in G′ with increasing VF may be due to particle compliance under stress or to particle separation from the matrix, thereby causing gel weakening.

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Polyelectrolytes

Hoagland¹

2003

Encyclopedia of Polymer Science and Technology

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Polyelectrolytes are polymers that develop substantial charge when dissolved or swollen in a highly polar solvent medium such as water. The attendant electrostatic interactions — within a single polyelectrolyte, between polyelectrolytes, or with molecules/surfaces — produce physical properties much different than those for neutral polymers. Most polyelectrolyte solution and gel properties vary sharply with addition of simple electrolytes, which screen electrostatic interactions according to concentration. Scientists are just beginning to understand polyelectrolyte electrostatic interactions, which are known to play an important role in the natural world. Important concepts for polyelectrolytes are counterion condensation, electrostatic persistence length, electrostatic excluded volume, and Donnan equilibrium. Properties such as low angle scattered intensity, solution viscosity, osmotic pressure, polyelectrolyte and counterion diffusion coefficients, conductivity, adsorption, complexation, electric and magnetic birefringence, electrophoresis, titration, and gel swelling can only be understood by accounting properly for electrostatic interactions. These distinctive properties underlie applications in colloid stabilization, surface modification, rheology control, and controlled release.

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Electrostatic contribution to the persistence length of a polyelectrolyte

Cited by 151 publications

References 18 publications

Electrostatic effects in DNA stretching

Electrostatic effects in DNA stretching

Rheological Properties of Gellan Gels Containing Filler Particles

Polyelectrolytes

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