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A density functional theory for a macroion suspension is examined, where the excess free energy corresponds to the macroion self energy arising from the polarisation of the supporting electrolyte solution. This is treated within a…

Soft Condensed Matter · Physics 2007-05-23 Patrick B. Warren

We investigate spherical macroions in the strong Coulomb coupling regime within the primitive model in salt-free environment. We first show that the ground state of an isolated colloid is naturally overcharged by simple electrostatic…

Soft Condensed Matter · Physics 2016-08-16 René Messina , Christian Holm , Kurt Kremer

We investigate theoretically polyelectrolyte bridging interactions on the two-body level. The model system is composed of two macroions with two oppositely charged flexible chains. The electrostatic interactions are treated on the Debye -…

Soft Condensed Matter · Physics 2009-11-10 Rudi Podgornik

The study of the electrical double layer lies at the heart of colloidal and interfacial science. The standard mean-field Poisson-Boltzmann (PB) theory is incapable of modeling many phenomena originated from ion correlation. An important…

Soft Condensed Matter · Physics 2022-09-26 Nikhil R. Agrawal , Rui Wang

A density functional theory of two-dimensional freezing is presented for a soft interaction potential that scales as inverse cube of particle distance. This repulsive potential between parallel, induced dipoles is realized for paramagnetic…

Soft Condensed Matter · Physics 2009-05-28 Sven van Teeffelen , Christos N. Likos , Norman Hoffmann , Hartmut Löwen

The organization of water molecules and ions between charged mineral surfaces determines the stability of colloidal suspensions and the strength of phase-separated particulate gels. In this article we assemble a density functional that…

Soft Condensed Matter · Physics 2024-05-15 Thomas Petersen

We show that the first non-linear correction to the linearised Poisson-Boltzman n (or DLVO) theory of effective pair interactions between charge-stabilised, co lloidal particles near a charged wall leads to an attractive component of entro…

Soft Condensed Matter · Physics 2009-10-31 David Goulding , Jean-Pierre Hansen

A statistical theory is presented of the magnesium ion interacting with lysozyme under conditions where the latter is positively charged. Temporarily assuming magnesium is not noncovalently bound to the protein, I solve the nonlinear…

Soft Condensed Matter · Physics 2021-08-10 Theo Odijk

We investigate a double-layer of penetrable ions near a charged wall. We find a new mechanism for charge reversal that occurs in the weak-coupling regime and, accordingly, the system is suitable for the mean-field analysis. The…

Soft Condensed Matter · Physics 2013-05-06 Derek Frydel , Yan Levin

There exists a generic relationship between the thermodynamics of a continuous polymer with a generic self-interaction and the two-point function of an interacting field-theory. In addition, the (2N)-point function of the resulting field…

chem-ph · Physics 2008-02-03 Bo Soderberg

Strong short ranged positional correlations involving counterions can induce a net attractive force between negatively charged strands of DNA, and lead to the formation of ion pairs in dilute ionic solutions. But the long range of the…

Statistical Mechanics · Physics 2009-11-11 Yng-Gwei Chen , John D. Weeks

We study the effective interaction between differently charged polyelectrolyte-colloid complexes in electrolyte solutions via Monte Carlo simulations. These complexes are formed when short and flexible polyelectrolyte chains adsorb onto…

Soft Condensed Matter · Physics 2010-05-05 D. Truzzolillo , F. Bordi , F. Sciortino , S. Sennato

The effective potential of electron--electron interaction and the two-particle \textquotedblleft density--density\textquotedblright\ correlation function have been calculated for a simple semiinfinite metal making allowance for the…

Mesoscale and Nanoscale Physics · Physics 2015-03-29 B. M. Markovych , I. M. Zadvorniak

We study the thermodynamic properties of a simple model for the possible mechanism of attraction between like charged rodlike polyions inside a polyelectrolyte solution. We consider two polyions in parallel planes, with $Z$ charges each, in…

Soft Condensed Matter · Physics 2007-05-23 Juergen F. Stilck , Yan Levin , Jeferson J. Arenzon

Within the Poisson-Boltzmann (PB) approach electrolytes in contact with planar, spherical, and cylindrical electrodes are analyzed systematically. The dependences of their capacitance $C$ on the surface charge density $\sigma$ and the ionic…

Soft Condensed Matter · Physics 2017-04-24 Andreas Reindl , Markus Bier , S. Dietrich

We apply extensive Molecular Dynamics simulations and analytical considerations in order to study the conformations and the effective interactions between weakly charged, flexible polyelectrolyte chains in salt-free conditions. We focus on…

Soft Condensed Matter · Physics 2009-11-10 Martin Konieczny , Christos N. Likos , Hartmut Löwen

An effective field theory exists describing a very large class of biophysically interesting Coulomb gas systems: the lowest order (mean-field) version of this theory takes the form of a generalized Poisson-Boltzmann theory. Interaction…

High Energy Physics - Lattice · Physics 2008-11-26 Anthony Duncan

The structure of cylindrical double layers is studied using a modified Poisson Boltzmann theory and the density functional approach. In the model double layer, the electrode is a cylindrical polyion that is infinitely long, impenetrable,…

Soft Condensed Matter · Physics 2013-12-18 V. Dorvilien , C. N. Patra , L. B. Bhuiyan , C. W. Outhwaite

Studies of the thermodynamics of complex coacervation of pairs of symmetric, strongly ionizable, oppositely charged polyelectrolyte chains are abundant. To generalize such understanding to asymmetric chain lengths and variable ionizability…

Soft Condensed Matter · Physics 2023-06-07 Souradeep Ghosh , Soumik Mitra , Arindam Kundagrami

A parallel plate capacitor containing an electrolytic solution is the simplest model of a supercapacitor, or electric double layer capacitor. Using both analytical and numerical techniques, we solve the Poisson-Nernst-Planck equations for…

Soft Condensed Matter · Physics 2025-10-02 Ivan Palaia , Adelchi J. Asta , Megh Dutta , Patrick B. Warren , Benjamin Rotenberg , Emmanuel Trizac
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