Comments on the Scaling Behavior of Flexible Polyelectrolytes within the Debye−Hückel Approximation

Ullner, Magnus

doi:10.1021/jp027381i

Cited by 61 publications

(106 citation statements)

References 69 publications

(251 reference statements)

Supporting

Mentioning

104

Contrasting

Order By: Relevance

“…Similar results have been reported in previous studies on a single polyelectrolyte chain [47,50]. The scaling results are in agreement with the observed dependencies of the structure factors of Figure 7.…”

Section: Polymer Size Scalingsupporting

confidence: 92%

See 1 more Smart Citation

Structure of Microgels with Debye–Hückel Interactions

Kobayashi

Winkler

2014

Polymers

View full text Add to dashboard Cite

Abstract:The structural properties of model microgel particles are investigated by molecular dynamics simulations applying a coarse-grained model. A microgel is comprised of a regular network of polymers internally connected by tetra-functional cross-links and with dangling ends at its surface. The self-avoiding polymers are modeled as bead-spring linear chains. Electrostatic interactions are taken into account by the Debye-Hückel potential. The microgels exhibit a quite uniform density under bad solvent conditions with a rather sharp surface. With increasing Debye length, structural inhomogeneities appear, their surface becomes fuzzy and, at very large Debye lengths, well defined again. Similarly, the polymer conformations change from a self-avoiding walk to a rod-like behavior. Thereby, the average polymer radius of gyration follows a scaling curve in terms of polymer length and persistence length, with an asymptotic rod-like behavior for swollen microgels and self-avoiding walk behavior for weakly swollen gel particles.

show abstract

Section: Polymer Size Scalingsupporting

confidence: 92%

“…for freely jointed chains with fixed bond lengths [47][48][49]. Figure 8 shows the radii of gyration for the various considered systems.…”

Section: Polymer Size Scalingmentioning

confidence: 99%

Structure of Microgels with Debye–Hückel Interactions

Kobayashi

Winkler

2014

Polymers

View full text Add to dashboard Cite

show abstract

“…The role played by the solution Debye length in controlling ssNA elasticity agrees with a recent picture of flexible chain structure termed the "snake-like chain," or SLC. 58 This picture, formally equivalent to the Barrat-Joanny model, 58 was motivated by a variety of simulation results that indicated flexible chains are not well-described by a single persistence length over all scales, but rather by a dual-regime picture in which the chain has some short-length-scale flexibility that is relatively unaffected by electrostatics, followed by a long-length-scale structure that is stiffened by electrostatic repulsion. [59][60][61][62][63] The crossover between these scales appears, in simulations, to vary linearly with Debye length, 63 in agreement with the single-chain elasticity experiments on ssNAs.…”

Section: A Ssnas and Polyelectrolyte Behaviormentioning

confidence: 99%

Perspective: Single polymer mechanics across the force regimes

Saleh

2015

The Journal of Chemical Physics

View full text Add to dashboard Cite

I review theoretical and experimental results on the force-extension response of single polymers, with a focus on scaling pictures of low-force elastic regimes, and recent measurements of synthetic and biological chains that explore those regimes. The mechanical response of single polymers is an old theoretical problem whose exploration was instigated by the curious thermomechanical behavior of rubber. Up until the 1990s, the main utility of those calculations was to explain bulk material mechanics. However, in that decade, it became possible to directly test the calculations through high-precision single-chain stretching experiments (i.e., force spectroscopy). I present five major single-chain elasticity models, including scaling results based on blob-chain models, along with analytic results based on linear response theory, and those based on freely jointed chain or worm-like chain structure. Each model is discussed in terms of the regime of force for which it holds, along with the status of its rigorous assessment with experiment. Finally, I show how the experiments can provide new insight into polymer structure itself, with particular emphasis on polyelectrolytes. C 2015 AIP Publishing LLC. [http://dx

show abstract

“…Taking the dependence of the Kuhn length on into account -for flexible polymers, l ÿb l with b l 4=5 ÿ 5=4 is predicted [17,24]-we find j c j ÿ 11=5ÿ7=4 [6]. The limit a !…”

Section: -2mentioning

confidence: 89%

Critical Adsorption of Polyelectrolytes onto Charged Spherical Colloids

Winkler

Cherstvy

2006

Phys. Rev. Lett.

View full text Add to dashboard Cite

The adsorption of a flexible polyelectrolyte in a salt solution onto an oppositely charged spherical surface is investigated. An analytical solution is derived, which is valid for any sphere radius and consistently recovers the result of a planar surface in the limit of large sphere radii, by substituting the Debye-Hückel potential via the Hulthén potential. Expressions for critical quantities such as the critical radius and the critical surface charge density are provide. A comparison of our theoretical results with experiments and computer simulations yields remarkable good agreement. DOI: 10.1103/PhysRevLett.96.066103 PACS numbers: 68.43.De, 82.35.Rs The complexation of charged macroions by oppositely charged polyelectrolytes is a fundamental process in biological systems and many technical applications. Particular examples are the complexation of histone proteins by DNA in nucleosomal core particles [1,2] as well as complexes of polyelectrolytes with charged colloids and micelles [3]. Industrial applications are as diverse as stabilization of colloidal suspensions, water treatment, and paper making [4].The understanding of the complexation between a polyion and a macroion surface accompanied by screening effects due to counterions and salt posses a major theoretical challenge [5]. Despite significant efforts and progresses [5][6][7][8][9][10][11], the understanding of charged complexes is still unsatisfactory and lacks behind that of neutral complexes. Certain insight into the complexation process is typically obtained by approximation schemes, e.g., variational calculations [6 -9], which, however, may lead to controversial results [12] and often apply only in limiting situations such as pointlike particles [9] or large colloidal radii [6].The theoretical studies of the adsorption behavior of polyelectrolytes onto spherical surfaces [7,10,11,13,14] lead to the observation of a phase-transition-like behavior; i.e., a bound polymer state appears at certain critical conditions which depend on, e.g., the sphere radius and screening of the Coulomb interaction. The variational calculations of Muthukumar and his co-workers [6,8] have provided useful insight into this transition in the limit of large sphere radii. Experiments on polyelectrolyte-protein and -micelle complexes [15] and computer simulations [14], however, typically yield dependencies of the critical quantities on the Debye screening length which deviate from the theoretical predictions. To understand and interpret the experimental results correctly, an analytical solution of the adsorption problem valid for any sphere radius is mandatory.In this Letter, we will present an exact solution for the critical adsorption of a flexible polyelectrolyte onto an oppositely charged spherical macroion. Expressions for critical quantities are provided, which are valid for any sphere radius. In particular, in the limit of zero macroion curvature, the results for a planar surface are obtained. In general, we find a significantly different dependence of the critica...

show abstract

Comments on the Scaling Behavior of Flexible Polyelectrolytes within the Debye−Hückel Approximation

Cited by 61 publications

References 69 publications

Structure of Microgels with Debye–Hückel Interactions

Structure of Microgels with Debye–Hückel Interactions

Perspective: Single polymer mechanics across the force regimes

Critical Adsorption of Polyelectrolytes onto Charged Spherical Colloids

Contact Info

Product

Resources

About