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Related papers: Charge Distribution on Annealed Polyelectrolytes

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In one and two component solvents, we calculate the counterion distribution around a charged rod treating the degree of ionization $\alpha$ as an annealed variable dependent on its local environment. In the one component case, $\alpha$ is…

Soft Condensed Matter · Physics 2015-05-13 Ryuichi Okamoto , Akira Onuki

1. Introduction 2. Charged chains at infinite dilution - asymptotic properties 2.1 Definition of the model and Flory-like calculation 2.2 Variational approaches 2.3 Renormalization group calculations 2.4 Screening of electrostatic…

Condensed Matter · Physics 2007-05-23 Jean-Louis Barrat , Jean-Francois Joanny

We study the distribution of point charges in a straight conductive needle and the electric field created by them. Starting from the bead model with $n$ point charges on the needle, we show the existence and uniqueness of an equilibrium…

Mathematical Physics · Physics 2025-09-30 Orion Ciftja , Adrien Guénard , Nefton Pali

We develop a first-principle equation of state of salt-free polyelectrolyte solution in the limit of infinitely long flexible polymer chains in the framework of a field-theoretical formalism beyond the linear Debye-Hueckel theory and…

Soft Condensed Matter · Physics 2015-08-04 Yu. A. Budkov , A. L. Kolesnikov , N. Georgi , E. A. Nogovitsyn , M. G. Kiselev

The calculations of the charge distribution in C$_{60}$-based FET structure are presented. A simple model is proposed to describe the distribution of the injected electrons or holes between two-dimensional layers. The calculations show that…

Superconductivity · Physics 2007-05-23 V. A. Kuprievich , O. L. Kapitanchuk , O. V. Shramko

The formation of inter-polyelectrolyte complexes from the association of oppositely charged polymers in an electrolyte is studied. The charged polymers are linear oppositely charged polyelectrolytes, with possibly a neutral block. This…

Soft Condensed Matter · Physics 2012-06-27 Vladimir A. Baulin , Emmanuel Trizac

We present results of molecular dynamics simulations of strong, flexible polyelectrolyte chains in solution with added salt. The effect of added salt on the polyelectrolyte chain structure is fully treated for the first time as a function…

Soft Condensed Matter · Physics 2008-02-03 Mark J. Stevens , Steve Plimpton

The ground state of randomly charged polyampholytes is conjectured to have a structure similar to a necklace, made of weakly charged parts of the chain, compacting into globules, connected by highly charged stretched `strings'. We suggest a…

Soft Condensed Matter · Physics 2009-10-31 Shay Wolfling , Yacov Kantor

We propose a detailed description of the structure of the layer formed by polyelectrolyte chains adsorbed onto an oppositely charged surface in the semi-dilute regime. We combine the mean-field Poisson-Boltzmann-Edwards theory and the…

Soft Condensed Matter · Physics 2019-02-20 Manoel Manghi , Miguel Aubouy

We analyze solutions of strongly charged chains bridged by linkers such as multivalent ions. The gelation induced by the strong short range electrostatic attractions is dramatically suppressed by the long range electrostatic correlations…

Condensed Matter · Physics 2009-11-07 A. V. Ermoshkin , M. Olvera de la Cruz

Charged systems with partially annealed charge disorder are investigated using field-theoretic and replica methods. Charge disorder is assumed to be confined to macroion surfaces surrounded by a cloud of mobile neutralizing counterions in…

Soft Condensed Matter · Physics 2009-05-24 Yevgeni Sh. Mamasakhlisov , Ali Naji , Rudolf Podgornik

The conformation of polyelectrolytes in the solution state has long been of interest in polymer science. Herein we utilize all atom molecular dynamics simulations (MD) and small-angle x-ray scattering experiments (SAXS) to elucidate the…

Electronic structure calculations performed on very large supercells have shown that the local charge excesses in metallic alloys are related through simple linear relations to the local electrostatic field resulting from distribution of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Ezio Bruno , Leon Zingales , Antonio Milici

We consider the entropy of polydisperse chains placed on a lattice. In particular, we study a model for equilibrium polymerization, where the polydispersivity is determined by two activities, for internal and endpoint monomers of a chain.…

Statistical Mechanics · Physics 2009-11-13 Minos A. Neto , Jürgen F. Stilck

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

By means of a variational approach we study the conditions under which a polyelectrolyte in a bad solvent will undergo a transition from a rod-like structure to a ``necklace'' structure in which the chain collapses into a series of globules…

Soft Condensed Matter · Physics 2009-10-30 Francisco J. Solis , Monica Olvera de la Cruz

In this paper, we formulate a field-theoretical model of dilute salt solutions of electrically neutral spherical colloid particles. Each colloid particle consists of a 'central' charge that is situated at the center and compensating…

Soft Condensed Matter · Physics 2020-01-08 Yu. A. Budkov

Based on a collective description of electrolytes composed of charge-regulated macro-ions and simple salt ions, we analyze their equilibrium charge state in the bulk and their behavior in the vicinity of an external electrified surface. The…

Soft Condensed Matter · Physics 2020-10-06 Yael Avni , Rudolf Podgornik , David Andelman

Statistically studied are the equilibrium characteristics of a subsystem of mobile charges of one sort, taking into account the subsystem of fixed charges of the opposite sign creating a compensating electric background. The distribution of…

Other Condensed Matter · Physics 2019-02-07 H. S. Bokun , D. di Caprio

We briefly discuss our recent field-theoretic study of polyelectrolyte complexation, which occurs in solutions of two oppositely charged polyelectrolytes. Charged systems require theoretical methods beyond the mean-field (or self-consistent…

Soft Condensed Matter · Physics 2015-05-13 Yuri O. Popov , Jonghoon Lee , Glenn H. Fredrickson