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A theory is presented for the effective charge of colloidal particles in suspensions containing multivalent counterions. It is shown that if colloids are sufficiently strongly charged, the number of condensed multivalent counterion can…

Soft Condensed Matter · Physics 2009-11-11 S. Pianegonda , Marcia C. Barbosa , Yan Levin

The notion of the weighted core inverse in a ring with involution was introduced, recently [Mosic et al. Comm. Algebra, 2018; 46(6); 2332-2345]. In this paper, we explore new representation and characterization of the weighted core inverse…

Rings and Algebras · Mathematics 2020-05-05 Sourav Das , Jajati Keshari Sahoo , Ratikanta Behera

We report molecular dynamics simulation of the (overall neutral) system consisting of an immobile macroion surrounded by the electrolyte of multivalent counterions and monovalent coions. As expected theoretically, counterions adsorb on the…

Soft Condensed Matter · Physics 2009-11-07 Motohiko Tanaka , Alexander Grosberg

A theory is presented which allows us to accurately calculate the density profile of monovalent and multivalent counterions in suspensions of polarizable colloids or nano-particles. In the case of monovalent ions, we derive a weak-coupling…

Soft Condensed Matter · Physics 2011-09-23 Amin Bakhshandeh , Alexandre Pereira dos Santos , Yan Levin

This paper concerns inverse problems for strongly coupled Schr\"odinger equations. The purpose of this inverse problem is to retrieve a stationary potential in the strongly coupled Schr\"odinger equations from either boundary or internal…

Analysis of PDEs · Mathematics 2020-12-09 Xiaomin Zhu , Fangfang Dou

In this paper, a new model is proposed for the inverse random source scattering problem of the Helmholtz equation with attenuation. The source is assumed to be driven by a fractional Gaussian field whose covariance is represented by a…

Analysis of PDEs · Mathematics 2019-11-27 Peijun Li , Xu Wang

Screening of a strongly charged macroion by multivalent counterions is considered. It is shown that counterions form a strongly correlated liquid at the surface of the macroion. Cohesive energy of this liquid leads to additional attraction…

Soft Condensed Matter · Physics 2009-10-31 B. I. Shklovskii

Inverse patchy colloids are nano- to micro-scale particles with a surface divided into differently charged regions. This class of colloids combines directional, selective bonding with a relatively simple particle design: owing to the…

Soft Condensed Matter · Physics 2021-01-22 Emanuela Bianchi , Peter D. J. van Oostrum , Christos N. Likos , Gerhard Kahl

Screening of a strongly charged macroion by oppositely charged colloidal particles, micelles, or short polyelectrolytes is considered. Due to strong lateral repulsion such multivalent counterions form a strongly correlated liquid at the…

Soft Condensed Matter · Physics 2009-10-31 T. T. Nguyen , A. Yu. Grosberg , B. I. Shklovskii

Colloidal suspensions and polyelectrolyte solutions containing multivalent counterions can exhibit some very counter-intuitive behavior usually associated with the low temperature physics. There are two particularly striking phenomena…

Soft Condensed Matter · Physics 2009-11-07 Yan Levin , Jeferson J. Arenzon

We review works on screening of a macroion, such as colloidal particle or double helix DNA, by multivalent counterions. Multivalent metal ions, charged micelles, short or long polyelectrolytes can play the role of multivalent counterions.…

Soft Condensed Matter · Physics 2007-05-23 T. T. Nguyen , A. Yu. Grosberg , B. I. Shklovskii

The inverse current, i.e., induced current is opposite to applied force, has recentlybeen found in a classical one-dimensional interacting Hamiltonian system [Phys. Rev.Lett. 124, 110607 (2020)]. In this paper, we show that inverse current…

Quantum Physics · Physics 2022-01-12 Yanchao Zhang , Zhenzhen Xie

Due to the strong correlations between multivalent counterions condensed on a macroion, the net macroion charge changes sign at some critical counterion concentration. This effect is known as the charge inversion. Near this critical…

Soft Condensed Matter · Physics 2009-11-07 T. T. Nguyen , B. I. Shklovskii

Adsorption of multivalent counterions on the charged surface of a macroion is known to lead to inversion of the macroion charge due to the strong lateral correlations of counterions. We consider a nontrivial role of the excluded volume of…

Soft Condensed Matter · Physics 2009-11-07 Toan T. Nguyen , Boris I. Shklovskii

We investigate spherical macroions in the strong Coulomb coupling regime within the primitive model in salt-free environment. Molecular dynamics (MD) simulations are used to elucidate the effect of $discrete$ macroion charge distribution on…

Soft Condensed Matter · Physics 2009-11-07 Rene Messina , Christian Holm , Kurt Kremer

Most theoretical and simulation studies on charged particles suspensions are at infinite dilution conditions. Hence these studies have been focused on the electrolyte structure around an isolated central particle (or elctrode), where…

We have directly observed reversal of the polarity of charged surfaces in water upon the addition of tri- and quadrivalent ions using atomic force microscopy. The bulk concentration of multivalent ions at which charge inversion reversibly…

Statistical Mechanics · Physics 2009-11-10 K. Besteman , M. A. G. Zevenbergen , H. A. Heering , S. G. Lemay

We generalize the inverse patchy colloid model that was originally developed for heterogeneously charged particles with two identical polar patches and an oppositely charged equator to a model that can have a considerably richer surface…

Soft Condensed Matter · Physics 2015-10-28 Monika Stipsitz , Gerhard Kahl , Emanuela Bianchi

We review recent advances in the physics of strongly interacting charged systems functioning in water at room temperature. We concentrate on the phenomena which go beyond the framework of mean field theories, whether linear Debye-Huckel or…

Soft Condensed Matter · Physics 2007-05-23 A. Yu. Grosberg , T. T. Nguyen , B. I. Shklovskii

We propose a covariant holographic conjecture for the entanglement negativity of mixed states in bipartite systems described by $d$-dimensional conformal field theories dual to bulk non static $AdS_{d+1}$ configurations. Application of our…

High Energy Physics - Theory · Physics 2022-08-31 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta
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