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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

Conformations of partially or fully adsorbed semiflexible polymer chains are studied varying both contour length $L$, chain stiffness, $\kappa$, and the strength of the adsorption potential over a wide range. Molecular Dynamics simulations…

Soft Condensed Matter · Physics 2019-10-02 Andrey Milchev , Kurt Binder

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

Chain-like macromolecules in solution, whether biological or synthetic, transform from an extended conformation to a compact one when temperature or other system parameters change. This collapse transition is relevant in various phenomena,…

Soft Condensed Matter · Physics 2026-05-18 Yanyan Zhu , Haim Diamant , David Andelman

Using a continuum description, we account for fluctuations in the ionic solvent surrounding a Gaussian, charged chain and derive an effective short-ranged potential between the charges on the chain. This potential is repulsive at short…

Soft Condensed Matter · Physics 2009-11-10 Shirish M. Chitanvis

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

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

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 2009-11-07 Ramin Golestanian , Tanniemola B. Liverpool

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

The classical Debye-Huckel (DH) theory clearly accounts for the origin of screening in electrolyte solutions and works rather well for dilute electrolyte solutions. While the Debye screening length decreases with the ion concentration and…

Soft Condensed Matter · Physics 2019-10-30 Ram M. Adar , Samuel A. Safran , Haim Diamant , David Andelman

Despite the apparent ease with which a sheet of paper is crumpled and tossed away, crumpling dynamics are often considered a paradigm of complexity. This complexity arises from the infinite number of configurations a disordered crumpled…

Soft Condensed Matter · Physics 2018-07-04 Omer Gottesman , Jovana Andrejevic , Chris H. Rycroft , Shmuel M. Rubinstein

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

Taking into account the nonequivalence of fixed-force and fixed-length ensembles in the weak-force regime, equations of state are derived that describe the equilibrium extension or compression of an ideal Gaussian polymer chain in response…

Soft Condensed Matter · Physics 2007-05-23 Richard M. Neumann

The present paper investigates the extension behavior of a wormlike chain with varied persistence length under the confinement of a cylindrical tube. Based on Odijk theory of a confined polymer chain, we have developed a theory which can…

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

We address the effects of chain connectivity on electrostatic fluctuations in polyelectrolyte solutions using a field-theoretic, renormalized Gaussian fluctuation (RGF) theory. As in simple electrolyte solutions (Z.-G. Wang, Phys. Rev. E.…

Statistical Mechanics · Physics 2017-04-05 Kevin Shen , Zhen-Gang Wang

We study a simple model of conducting polymers in which a single electron propagates through a randomly tangled chain. The model has the geometry of a small-world network, with a small density $p$ of crossings of the chain acting as…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jorge Quintanilla , Vivaldo L. Campo

We investigate polyelectrolyte brushes in the osmotic regime using both theoretical analysis and molecular dynamics simulation techniques. In the simulations at moderate Bjerrum length, we observe that the brush height varies weakly with…

Soft Condensed Matter · Physics 2007-05-23 Ali Naji , Roland R. Netz , Christian Seidel

A mobile Coulomb gas permeating a fixed background crystalline lattice of charged colloidal crystals is subject to an electrostatic-elastic coupling, which we study on the continuum level by introducing a minimal coupling between…

Soft Condensed Matter · Physics 2025-02-14 Hao Wu , Zhong-Can Ou-Yang , Rudolf Podgornik

We study universal aspects of polymer conformations and transverse fluctuations for a single swollen chain characterized by a contour length $L$ and a persistence length $\ell_p$ in two dimensions (2D) and in three dimensions (3D) in the…

Soft Condensed Matter · Physics 2023-06-07 Jacob Bair , Swarnadeep Seth , Aniket Bhattacharya

We study the phase transitions of a random copolymer chain with quenched disorder. We apply a replica variational approach based on a Gaussian trial Hamiltonian in terms of the correlation functions of monomer Fourier coordinates. This…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Moskalenko , Yu. A. Kuznetsov , K. A. Dawson