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Role of range of interactions in a model of charged particles diffusing on a two-dimensional lattice is studied. We investigate, via Monte Carlo simulations, three models. In the first one interactions are restricted to nearest neighbors,…

Disordered Systems and Neural Networks · Physics 2009-04-07 Krzysztof Pawlikowski , Andrzej Pȩkalski

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

We study the problem of charge regulation and its effects on electrostatic interactions between dissociable charge groups immersed in a univalent electrolyte, within a family of one dimensional exactly solvable models. We consider the case…

Soft Condensed Matter · Physics 2015-06-23 A. C. Maggs , R. Podgornik

We theoretically investigate electrostatic properties between two charged surfaces with a grafted polyelectrolyte layer in an aqueous electrolyte solution by using the Poisson-Boltzmann approach accounting for ion partitioning. In order to…

Soft Condensed Matter · Physics 2022-02-07 Jun-Sik Sin

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

We investigate the complexation of a highly charged sphere with a long flexible polyelectrolyte, \textit{both negatively charged} in salt free environment. Electroneutrality is insured by the presence of divalent counterions. Using…

Soft Condensed Matter · Physics 2007-05-23 Rene Messina , Christian Holm , Kurt Kremer

Dynamic processes in dispersions of charged spherical particles are of importance both in fundamental science, and in technical and bio-medical applications. There exists a large variety of charged-particles systems, ranging from…

Soft Condensed Matter · Physics 2013-11-25 G. Nägele , M. Heinen , A. J. Banchio , C. Contreras-Aburto

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

Polyelectrolyte complexation plays an important role in materials science and biology. The internal structure of the resultant polyelectrolyte complex (PEC) phase dictates properties such as physical state, response to external stimuli, and…

The distribution function of the end-to-end distance of a semiflexible polymer, G(R;L) (where R denotes the end-to-end distance and L the contour length), is calculated using a meanfield-like approach. The theory yields an extremely simple…

Statistical Mechanics · Physics 2016-08-31 J. K. Bhattacharjee , D. Thirumalai , J. D. Bryngelson

We demonstrate that a semiflexible bundle of wormlike chains exhibits a state-dependent bending stiffness that alters fundamentally its scaling behavior with respect to the standard wormlike chain. We explore the equilibrium conformational…

Statistical Mechanics · Physics 2007-07-26 Claus Heussinger , Mark Bathe , Erwin Frey

We perform computational investigations of electrolyte-mediated interactions of charged colloidal particles confined within nanochannels. We investigate the role of discrete ion effects, valence, and electrolyte strength on colloid-wall…

Soft Condensed Matter · Physics 2023-02-28 Inderbir S. Sidhu , Amalie L. Frischknecht , Paul J. Atzberger

We calculate the distribution function of the end--to--end distance of a semiflexible polymer with large bending rigidity. This quantity is directly observable in experiments on single semiflexible polymers (e.g., DNA, actin) and relevant…

Condensed Matter · Physics 2009-10-28 Jan Wilhelm , Erwin Frey

A general and rigorous method to deal with singularities at the origin of a polar coordinate system is presented. Its power derives from a clear distinction between the radial distance and the radial coordinate variable, which makes that…

Classical Physics · Physics 2007-05-23 Andre Gsponer

In this brief contribution to the Proceedings of the NATO-ASI on ``Electrostatic Effects in Soft Matter and Biophysics'', which took place in Les Houches from Oct. 1-13, 2000, we summarize in short aspects of the simulations methods to…

Soft Condensed Matter · Physics 2007-05-23 C. Holm , K. Kremer

We consider a prototype polyene chain: donor-$\pi$(bridge)-acceptor. The distance between the donor and the acceptor is varied by increasing the number of bridged atoms and rate of electron transfer, k$_{et}$ is studied for a series of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 S. Lakshmi , Ayan Datta , Swapan K. Pati

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

We present a theoretical approach to study the dynamics of spherical, cylindrical and ellipsoidal charge distributions under their self-Coulomb field and a stochastic force due to collisions and random motions of charged particles. The…

Plasma Physics · Physics 2022-02-14 Omid Zandi , Renske M. van der Veen

The influence of Coulomb interaction on the electron transport through molecular wires is studied in the regime of incoherent tunneling. In the limit of strong Coulomb repulsion, the current for spinless electrons is determined. It is shown…

Chemical Physics · Physics 2007-05-23 Jörg Lehmann , Gert-Ludwig Ingold , Peter Hänggi

By splitting the Coulomb interaction into long-range and short-range components, we decompose the energy of a quantum electronic system into long-range and short-range contributions. We show that the long-range part of the energy can be…

Chemical Physics · Physics 2009-11-10 Julien Toulouse , Francois Colonna , Andreas Savin
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