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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

This paper considers the probability density and current distributions generated by a point-like, isotropic source of monoenergetic charges embedded into a uniform magnetic field environment. Electron sources of this kind have been realized…

Quantum Physics · Physics 2012-09-04 Christian Bracher , Arnulfo Gonzalez

In order to better understand the collapse of polyions in poor solvent conditions the effective charge and the solvent quality of the hypothetically uncharged polymer backbone need to be known. In the present work this is achieved by…

A soft ellipsoid model for Gaussian polymer chains is studied, following an idea proposed by Murat and Kremer [J. Chem. Phys. 108, 4340 (1998)]. In this model chain molecules are mapped onto ellipsoids with certain shapes, and to each shape…

Soft Condensed Matter · Physics 2009-10-31 Frank Eurich , Philipp Maass

In this work, a comprehensive study about the influence on shear viscosity of polyelectrolyte concentration, persistence length, salt concentration and solvent quality is reported, using numerical simulations of confined solutions under…

Soft Condensed Matter · Physics 2022-11-22 Estela Mayoral , Juan de Dios Hernández Velázquez , Armando Gama Goicochea

We present using simple scaling arguments and one step replica symmetry breaking a theory for the localization of semiflexible polymers in a quenched random environment. In contrast to completely flexible polymers, localization of…

Soft Condensed Matter · Physics 2009-11-10 Arti Dua , Thomas A. Vilgis

We propose a framework to study the spatio-temporal evolution of liquid-liquid phase separation of weak polyelectrolytes in ionic solutions. Unlike strong polyelectrolytes, which carry a fixed charge, the charge state of weak…

Soft Condensed Matter · Physics 2025-03-19 Giulia Laura Celora , Ralf Blossey , Andreas Munch , Barbara Wagner

We use complete enumeration and Monte Carlo techniques to study two-dimensional self-avoiding polymer chains with quenched ``charges'' $\pm 1$. The interaction of charges at neighboring lattice sites is described by $q_i q_j$. We find that…

Soft Condensed Matter · Physics 2009-10-30 Ido Golding , Yacov Kantor

Using the complex Langevin sampling strategy, field theoretic simulations are performed to study the equilibrium phase behavior and structure of symmetric polycation-polyanion mixtures without salt in good solvents. Static structure factors…

Soft Condensed Matter · Physics 2008-06-14 Jonghoon Lee , Yuri O. Popov , Glenn H. Fredrickson

We investigate a system of dense polyelectrolytes in solution. The Langevin dynamics of the system with linearized hydrodynamics is formulated in the functional integral formalism and a transformation made to collective coordinates. Within…

Soft Condensed Matter · Physics 2015-06-25 Kristian K. M"uller-Nedebock , Thomas A. Vilgis

We study the swelling of a flexible linear chain composed of active particles by analytical theory and computer simulation. Three different situations are considered: a free chain, a chain confined to an external harmonic trap, and a chain…

Soft Condensed Matter · Physics 2015-03-31 Andreas Kaiser , Sonja Babel , Borge ten Hagen , Christian von Ferber , Hartmut Löwen

We study the effect of electrostatic interactions on the distribution function of the end-to-end distance of a single polyelectrolyte chain in a rodlike configuration. We investigate the validity of the concept of electrostatic persistence…

Soft Condensed Matter · Physics 2009-11-07 Roya Zandi , Joseph Rudnick , Ramin Golestanian

The paper presents a short overview of the theoretical, numerical and experimental works on the critical behavior of a dilute polymer solution of long-flexible polymer chains confined in semi-infinite space restricted by a surface or in a…

Soft Condensed Matter · Physics 2018-01-08 Zoryana Usatenko , Krzysztof S. Danel

A living polymers transition is found in molecular dynamics simulations of a charge-symmetric size-asymmetric electrolyte with no anisotropic interactions. The fluid has strong polymeric character at low temperatures, where it consists of…

Statistical Mechanics · Physics 2007-05-23 Sorin Bastea

The Poisson-Boltzmann equation for a strongly charged plate inside a generic charge-asymmetric electrolyte is solved using the method of asymptotic matching. Both near field and far field asymptotic behaviors of the potential are…

Soft Condensed Matter · Physics 2015-06-05 Ming Han , Xiangjun Xing

We applied the mean-field approach to a columnar bundle assembled by the parallel arrangement of stiff polyelectrolyte rods in a salt bath. The electrostatic potential can be divided into two regions: inside the bundle for condensed…

Soft Condensed Matter · Physics 2015-05-18 Takuya Saito , Kenichi Yoshikawa

The structure of polyelectrolytes is highly sensitive to small changes in the interactions between its monomers. In particular, interactions mediated by counterions play a significant role, and are affected by both specific molecular…

Soft Condensed Matter · Physics 2020-02-03 Pauline Bacle , Marie Jardat , Virginie Marry , Guillaume Mériguet , Guillaume Batôt , Vincent Dahirel

A recently developed lattice field theory approach to the statistical mechanics of charged polymers in electrolyte solutions [S. Tsonchev, R. D. Coalson, and A. Duncan, Phys. Rev. E {\bf{60}}, 4257, (1999)] is generalized to the case where…

Statistical Mechanics · Physics 2016-08-31 S. Tsonchev , R. D. Coalson , A. Duncan

We present a statistical model of a dilute polymer solution in good solvent in the presence of low-molecular weight cosolvent. We investigate the conformational changes of the polymer induced by a change of the cosolvent concentration and…

Statistical Mechanics · Physics 2014-11-10 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , M. G. Kiselev

Polymer electrolytes are promising candidates for the next generation lithium-ion battery technology. Large scale screening of polymer electrolytes is hindered by the significant cost of molecular dynamics (MD) simulation in amorphous…