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Using Langevin dynamics simulations, we study elastic response of single semiflexible polyelectrolytes to an external force pulling on the chain ends, to mimic the stretching of DNA molecules by optical tweezers. The linear chains are…

Soft Condensed Matter · Physics 2019-06-19 Paul Cardenas-Lizana , Pai-Yi Hsiao

Stretching dynamics of polymers in microfluidics is of particular interest for polymer scientists. As a charged polymer, a polyelectrolyte can be deformed from its coiled equilibrium configuration to an extended chain by applying uniform or…

Soft Condensed Matter · Physics 2014-11-18 Farnoush Farahpour , Fathollah Varnik , Mohammad Reza Ejtehadi

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

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

Constant temperature molecular dynamics simulations were used to study solutions of flexible polyelectrolyte chains at nonzero concentrations with explicit counterions and unscreened coulombic interactions. Counterion condensation, measured…

Statistical Mechanics · Physics 2009-10-31 J. C. Chu , C. H. Mak

We report results from a molecular dynamics (MD) simulation on the conformations of a long flexible polyelectrolyte complexed to a charged sphere, \textit{both negatively charged}, in the presence of neutralizing counterions in the strong…

Soft Condensed Matter · Physics 2009-11-07 Rene Messina , Christian Holm , Kurt Kremer

The behavior of highly charged short rod-like polyelectrolytes near oppositely charged planar surfaces is investigated by means of Monte Carlo simulations. A detailed microstructural study, including monomer and fluid charge distribution,…

Soft Condensed Matter · Physics 2009-11-11 Rene Messina

This paper discusses the elastic behavior of a very long crosslinked polyelectrolyte chain (Debye-H\"uckel chain), which is weakly charged. Therefore the response of the crosslinked chain (network) on an external constant force $f$ acting…

Soft Condensed Matter · Physics 2009-10-30 J. Wilder , T. A. Vilgis

We present a novel approach to probe elastic properties of polyelectrolyte multilayer microcapsules. The method is based on measurements of the capsule load-deformation curves with the atomic force microscope. The experiment suggests that…

Soft Condensed Matter · Physics 2009-11-10 V. V. Lulevich , D. Andrienko , O. I. Vinogradova

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

Analysis of PDEs · Mathematics 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon

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

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

Similarly-charged polymers in solution, known as polyelectrolytes, are known to form aggregated structures in the presence of oppositely charged counterions. Understanding the dependence of the equilibrium phases and the dynamics of the…

Soft Condensed Matter · Physics 2017-07-03 Anvy Moly Tom , Ravindran Rajesh , Satyavani Vemparala

A robust non-Newtonian fluid model of dilute polyelectrolyte solutions is derived from kinetic theory arguments. Polyelectrolyte molecules are modeled as finitely elongated nonlinear elastic dumbbells, where effective charges (interacting…

Soft Condensed Matter · Physics 2020-06-05 Dmitry Shogin , Per Amund Amundsen

We examine the role of the condensing agent in the formation of polyelectrolyte bundles, via grand-canonical Monte Carlo simulations. Following recent experiments we use linear, rigid divalent cations of various lengths to induce…

Soft Condensed Matter · Physics 2011-11-10 Camilo Guáqueta , Erik Luijten

We present theoretical and numerical studies on stiff, linear polyelectrolytes within the framework of the cell model. We first review analytical results obtained on a mean-field Poisson-Boltzmann level, and then use molecular dynamics…

Soft Condensed Matter · Physics 2009-11-07 Markus Deserno , Christian Holm

We investigate the collapse and expansion dynamics of a linear polyelectrolyte (PE) with hydrodynamic interactions. Using dissipative particle dynamics with a bead-spring PE model, long-range electrostatics and explicit ions we examine how…

Soft Condensed Matter · Physics 2024-05-24 Jiaxing Yuan , Tine Curk

Similarly-charged polyelectrolytes are known to attract each other and aggregate into bundles when the charge density of the polymers exceeds a critical value that depends on the valency of the counterions. The dynamics of aggregation of…

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

A thin flat rectangular plate supported on its edges and subjected to in-plane loading exhibits stable post-buckling behaviour. However, the introduction of a nonlinear (softening) elastic foundation may cause the response to become…

Pattern Formation and Solitons · Physics 2016-03-18 M. Khurram Wadee , David J. B. Lloyd , Andrew P. Bassom

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
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