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We set up and solve a recursion relation for all even moments of a two-dimensional stiff polymer (Porod-Kratky wormlike chain) and determine from these moments a simple analytic expression for the end-to-end distribution at all persistence…

Soft Condensed Matter · Physics 2007-05-23 B. Hamprecht , W. Janke , H. Kleinert

The extensive application of surfactants motivates comprehensive and predictive theoretical studies that improve our understanding of the behaviour of these complex systems. In this study, an expression for the elastic free-energy density…

Soft Condensed Matter · Physics 2015-02-10 Meisam Asgari

We reconsider the electrostatic contribution to the persistence length, $\ell_e$, of a single, infinitely long charged polymer in the presence of screening. A Gaussian variational method is employed, taking $\ell_e$ as the only variational…

Soft Condensed Matter · Physics 2007-05-23 Manoel Manghi , Roland R. Netz

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 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

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

Properties of polyelectrolytes in tetravalent salt solutions are intensively investigated by a coarse-grained model. The concentration of salt and the size of tetravalent counterions are found playing a decisive role on chain properties. If…

Soft Condensed Matter · Physics 2009-09-29 Pai-Yi Hsiao

Force versus extension curves measure entropic elasticity of single polymer chain in force spectroscopy experiments. A Worm-like Chain model is used to describe force extension experiments with an intrinsic chain parameter called…

Soft Condensed Matter · Physics 2021-07-28 Vikhyaat Ahlawat , Shatruhansingh Rajput , Shivprasad Patil

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

In this paper, we study the electrostatics of pH-responsive polyelectrolyte-grafted spherical particles by using a strong stretching theory that takes into account the excluded volume interaction and the density of chargeable sites on the…

Soft Condensed Matter · Physics 2022-08-31 Jun-Sik Sin , Il-Chon Choe , Chol-Song Im

Aggregation of nanoparticles of given size $R$ induced by addition of a polymer strongly depends on its degree of rigidity. This is shown here on a large variety of silica nanoparticle self-assemblies obtained by electrostatic complexation…

Soft Condensed Matter · Physics 2016-11-08 Li Shi , Florent Carn , François Boué , Eric Buhler

In this paper, we present a theory to efficiently deal with mechanical properties of heterogeneous polymer chain in free space and the central problem is to evaluate the diffusion equation and orientation-orientation correlation function,…

Biological Physics · Physics 2019-11-05 Ming Li , Jizeng Wang

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

A formula is derived for stiffness of a polymer chain in terms of the distribution function of end-to-end vectors. This relationship is applied to calculate the stiffness of Gaussian chains (neutral and carrying electric charges at the…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

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 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

This paper discusses the elastic behavior of polyelectrolyte networks. The deformation behavior of single polyelectrolyte chains is discussed. It is shown that a strong coupling between interactions and chain elasticity exists. The theory…

Soft Condensed Matter · Physics 2007-05-23 T. A. Vilgis , J. Wilder

The structure and dynamics of a range of polystyrene sulphonate comb polyelectrolytes with well defined chain architectures were examined with static light scattering, dynamic light scattering, small angle neutron/X-ray scattering, particle…

Soft Condensed Matter · Physics 2007-05-23 A. Papagiannopoulos , T. A. Waigh , C. Fernyhough , T. Hardingham , M. Heinrich

We investigate end-effects in the ion distribution around strongly charged, flexible polyelectrolytes with a quenched charge distribution by molecular dynamics simulations of dilute polyelectrolyte solutions. We take the counterions…

Soft Condensed Matter · Physics 2015-06-24 Hans Jörg Limbach , Christian Holm

The concept of a `persistent worm' is introduced, representing the smallest possible length of a wormlike micelle, and modelled by a bead-spring chain with sticky beads at the ends. Persistent worms are allowed to combine with each other at…

Soft Condensed Matter · Physics 2025-10-14 Avishek Kumar , Rico F. Tabor , P. Sunthar , J. Ravi Prakash