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The effective interaction between charged colloidal particles confined between two planar like-charged walls is investigated using computer simulations of the primitive model describing asymmetric electrolytes. In detail, we calculate the…

Soft Condensed Matter · Physics 2016-08-15 E. Allahyarov , I. D'Amico , H. Löwen

We study the ionic distribution near a charged surface. A new method for performing Monte Carlo simulations in this geometry is discussed. A theory is then presented that allows us to accurately reproduce the density profiles obtained in…

Chemical Physics · Physics 2012-11-09 Alexandre P. dos Santos , Yan Levin

We present an analytical approach to the strong coupling regime of similarly and highly charged plates in the presence of counter-ions. The procedure is physically transparent and based on an exact expansion around the ground state formed…

Statistical Mechanics · Physics 2011-02-23 L. Samaj , E. Trizac

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

We present a comprehensive study of the two dimensional one component plasma in the cell model with charged boundaries. Departing from weak couplings through a convenient approximation of the interacting potential we were able to obtain an…

Statistical Mechanics · Physics 2015-10-28 Juan Pablo Mallarino , Gabriel Tellez

We study a classical system of identically charged counter-ions near a planar wall carrying a uniform surface charge density. The equilibrium statistical mechanics of the system depends on a single dimensionless coupling parameter. A new…

Soft Condensed Matter · Physics 2019-01-21 I. Palaia , M. Trulsson , L. Samaj , E. Trizac

We develop a general formalism to investigate the effect of quenched fixed charge disorder on effective electrostatic interactions between charged surfaces in a one-component (counterion-only) Coulomb fluid. Analytical results are…

Soft Condensed Matter · Physics 2009-11-11 Ali Naji , Rudolf Podgornik

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

The equilibrium density profiles in a classical multicomponent plasma near a hard wall made with a dielectric material characterized by a relative dielectric constant $\ew$ are studied from the first Born-Green-Yvon equation combined with…

Statistical Mechanics · Physics 2007-05-23 Jean-Noel Aqua , Francoise Cornu

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

The unique property of Coulomb interaction in strict one-dimensional (1D) system is revealed that the Coulomb repulsion energy of paired electrons is divergent. As consequences, electrons in 1D system can not doubly occupy the same spatial…

Strongly Correlated Electrons · Physics 2011-08-23 Yongxi Zhou

We consider counterions in the presence of a single planar surface with a spatially inhomogeneous charge distribution using Monte-Carlo simulations and strong-coupling theory. For high surface charges, multivalent counterions, or pronounced…

Soft Condensed Matter · Physics 2009-11-07 Andre G Moreira , Roland R Netz

Recent Monte Carlo simulations (A. G. Moreira and R. R. Netz: Eur. Phys. J. E {\bf 8} (2002) 33) in the strong Coulomb coupling regime suggest strange counterion electrostatics unlike the Poisson-Boltzmann picture: when…

Soft Condensed Matter · Physics 2020-01-07 Hiroshi Frusawa

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

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 confinement of an ionic liquid between charged solid surfaces is treated using an exactly solvable 1D Coulomb gas model. The theory highlights the importance of two dimensionless parameters: the fugacity of the ionic liquid, and the…

Soft Condensed Matter · Physics 2014-09-08 Alpha A Lee , Dominic Vella , Susan Perkin , Alain Goriely

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

We present a new analytical approach to the strong electrostatic coupling regime (SC), that can be achieved equivalently at low temperatures, high charges, low dielectric permittivity etc. Two geometries are analyzed in detail: one charged…

Statistical Mechanics · Physics 2015-06-03 L. Šamaj , E. Trizac

We investigate the interaction between highly charged lipid bilayers in the presence of monovalent counterions. Neutron and X-ray reflectivity experiments show that the water layer between like-charged bilayers is thinner than for…

Macromolecules, when immersed in a polar solvent like water, become charged by a fixed surface charge density which is compensated by ``counter-ions'' moving out of the surface. Such classical particle systems exhibit poor screening…

Statistical Mechanics · Physics 2015-11-04 Ladislav Šamaj