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From cement cohesion to DNA condensation, a proper statistical physics treatment of systems with long range forces is important for a number of applications in physics, chemistry, and biology. We compute here the effective force between…

Soft Condensed Matter · Physics 2018-03-14 E. Trizac , G. Téllez

The bare Coulomb interaction between two like-charges is repulsive. When these charges are immersed in an electrolyte, the thermal fluctuations of the ions turn the bare Coulomb interaction into an effective interaction between the two…

Statistical Mechanics · Physics 2023-03-15 Gabriel Tellez

By a length scale analysis, we study the equilibrium interactions between two like-charge planes confining neutralising counter-ions. At large Coulombic couplings, approaching the two charged bodies leads to an unbinding of counter-ions, a…

Soft Condensed Matter · Physics 2012-10-23 E. Trizac , L. Samaj

We study a 2D system of identical mobile particles on the surface of a cylinder of finite length $d$ and circumference $W$, immersed in a medium of dielectric constant $\varepsilon$. The two end-circles of the cylinder are like-charged with…

Statistical Mechanics · Physics 2020-11-24 Ladislav Šamaj

We consider a one-dimensional model allowing analytical derivation of the effective interactions between two charged colloids. We evaluate exactly the partition function for an electroneutral salt-free suspension with dielectric jumps at…

Soft Condensed Matter · Physics 2021-04-23 Lucas Varela , Gabriel Tellez , Emmanuel Trizac

This work contributes to the problem of determining effective interaction between asymmetrically (likely or oppositely) charged objects whose total charge is neutralized by mobile pointlike counter-ions of the same charge, the whole system…

Statistical Mechanics · Physics 2015-06-22 L. Samaj , E. Trizac

We consider the system of particles with equal charges and nearest neighbour Coulomb interaction on the interval. We study local properties of this system, in particular the distribution of distances between neighbouring charges. For zero…

Mathematical Physics · Physics 2016-11-08 V. A. Malyshev , A. A. Zamyatin

We evaluate exactly the statistical integral for an inhomogeneous one-dimensional counterion-only Coulomb gas between two charged boundaries and from this compute the effective interaction, or disjoining pressure, between the bounding…

Statistical Mechanics · Physics 2009-08-10 David S. Dean , Ron R. Horgan , Ali Naji , Rudolf Podgornik

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

Charged soft-matter systems--such as colloidal dispersions and charged polymers--are dominated by attractive forces between constituent like-charged particles when neutralizing counterions of high charge valency are introduced. Such…

Soft Condensed Matter · Physics 2009-11-11 Ali Naji , Swetlana Jungblut , Andre G. Moreira , Roland R. Netz

The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has…

Soft Condensed Matter · Physics 2016-11-08 Pei Liu , Manman Ma , Zhenli Xu

For inhomogeneous classical Coulomb fluids in thermal equilibrium, like the jellium or the two-component Coulomb gas, there exists a variety of exact sum rules which relate the particle one-body and two-body densities. The necessary…

Soft Condensed Matter · Physics 2013-10-09 Ladislav Samaj

A binary mixture of oppositely charged components confined to a plane such as cationic and anionic lipid bilayers may exhibit local segregation. The relative strength of the net short range interactions, which favors macroscopic…

Soft Condensed Matter · Physics 2009-11-11 Sharon M. Loverde , Yury S. Velichko , Monica Olvera de la Cruz

An effective pair potential for systems of uniformly charged lamellar colloids in the presence of an electrolytic solution of microscopic co- and counterions is derived. The charge distribution on the discs is expressed as a collection of…

Soft Condensed Matter · Physics 2009-10-31 D. G. Rowan , J. -P. Hansen , E. Trizac

Strong coupling phenomena, such as the like charged macroions attraction, opposite charged macroions repulsion, charge renormalization or charge inversion, are known to be mediated by multivalent counterions. Most theories treat the…

Soft Condensed Matter · Physics 2016-02-03 Sandipan Dutta , Y. S. Jho

We present a simple model for the possible mechanism of appearance of attraction between like charged polyions inside a polyelectrolyte solution. The attraction is found to be short ranged, and exists only in presence of multivalent…

Soft Condensed Matter · Physics 2009-10-31 Jeferson J. Arenzon , Juergen F. Stilck , Yan Levin

We study a one dimensional Coulomb system, where two charged colloids are neutralized by a collection of point counterions, with global neutrality. Temperature being given, two situations are addressed: the colloids are either kept at fixed…

Statistical Mechanics · Physics 2017-02-22 Lucas Varela , Gabriel Tellez , Emmanuel Trizac

We are interested in rationalizing the phenomenon of like-charge attraction between charged bodies, such as a pair of colloids, in the strong coupling regime. The two colloids are modelled as uniformly charged parallel plates, neutralized…

Soft Condensed Matter · Physics 2025-01-13 L. Samaj , E. Trizac , M. Trulsson

Like-charged macroions attract each other as a result of strong electrostatic correlations in the presence of multivalent counterions or at low temperatures. We investigate the effective electrostatic interaction between i) two like-charged…

Soft Condensed Matter · Physics 2007-05-23 Ali Naji , Roland R. Netz

We calculate the force between two spherical metal nanoparticles of charge Q 1 and Q 2 in a dilute 1:1 electrolyte solution. Numerically solving the non-linear Poisson-Boltzmann equation, we find that metal nanoparticles with the same sign…

Soft Condensed Matter · Physics 2019-07-03 Alexandre P. dos Santos , Yan Levin
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