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We study equilibrium statistical mechanics of classical point counter-ions, formulated on 2D Euclidean space with logarithmic Coulomb interactions (infinite number of particles) or on the cylinder surface (finite particle numbers), in the…

软凝聚态物质 · 物理学 2011-03-08 L. Samaj , E. Trizac

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…

统计力学 · 物理学 2020-11-24 Ladislav Šamaj

The possibility that like-charges can attract each other under the mediation of mobile counterions is by now well documented experimentally, numerically, and analytically. Yet, obtaining exact results is in general impossible, or restricted…

统计力学 · 物理学 2016-03-29 Gabriel Tellez , Emmanuel Trizac

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…

统计力学 · 物理学 2015-11-04 Ladislav Šamaj

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…

统计力学 · 物理学 2009-08-10 David S. Dean , Ron R. Horgan , Ali Naji , Rudolf Podgornik

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…

软凝聚态物质 · 物理学 2025-01-13 L. Samaj , E. Trizac , M. Trulsson

The electrostatic interaction between two non-identical, moderately charged colloids situated in close proximity of each other at a fluid interface is studied. By resorting to a well-justified model system, this problem is analytically…

软凝聚态物质 · 物理学 2018-04-30 Arghya Majee , Timo Schmetzer , Markus Bier

We consider a set of identical mobile point-like charges (counter-ions) confined to a domain with curved hard walls carrying a uniform fixed surface charge density, the system as a whole being electroneutral. Three domain geometries are…

软凝聚态物质 · 物理学 2016-03-24 Ladislav Samaj , E. Trizac

The free energy of ion solvation can be decomposed into enthalpic and entropic contributions. This helps to understand the connection between the dielectric properties and the underlying forces. We present a simple linear-response model of…

软凝聚态物质 · 物理学 2024-06-24 Alec Wills , Anthony Mannino , Isidro Losada , Sara G. Mayo , Jose M. Soler , Marivi Fernandez-Serra

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…

软凝聚态物质 · 物理学 2016-08-15 E. Allahyarov , I. D'Amico , H. Löwen

We study thermal equilibrium of classical pointlike counterions confined between symmetrically charged walls at distance $d$. At very large couplings when the counterion system is in its crystal phase, a harmonic expansion of particle…

软凝聚态物质 · 物理学 2019-01-21 L. Samaj , M. Trulsson , E. Trizac

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…

软凝聚态物质 · 物理学 2013-10-09 Ladislav Samaj

A field theoretic representation of the classical partition function is derived for a system composed of a mixture of anisotropic and isotropic mobile charges that interact {\sl via} long range Coulomb and short range nematic interactions.…

软凝聚态物质 · 物理学 2021-01-29 Rudolf Podgornik

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…

软凝聚态物质 · 物理学 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…

软凝聚态物质 · 物理学 2009-11-11 Ali Naji , Rudolf Podgornik

In classical semi-infinite Coulomb fluids, two-point correlation functions exhibit a slow inverse-power law decay along a uniformly charged wall. In this work, we concentrate on the corresponding amplitude function which depends on the…

统计力学 · 物理学 2017-10-12 Ladislav Šamaj

The model under consideration is a two-dimensional two-component plasma, i.e., a continuous system of two species of pointlike particles of opposite charges $\pm 1$, interacting through the logarithmic Coulomb interaction. Using the exact…

统计力学 · 物理学 2007-05-23 L. Šamaj , B. Jancovici

We investigate, within a local density functional theory formalism, the interactions between like-charged polyions immersed in a confined electrolyte. We obtain a simple condition for a repulsive effective pair potential, that can be…

软凝聚态物质 · 物理学 2009-10-31 E. Trizac

The properties of a system of charged particles on a 2D lattice, subject to an anisotropic Jahn-Teller-type interaction and 3D Coulomb repulsion are investigated. In the mean-field approximation without Coulomb interaction, the system…

强关联电子 · 物理学 2008-11-19 T. Mertelj , V. V. Kabanov , D. Mihailovic

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…

软凝聚态物质 · 物理学 2021-04-23 Lucas Varela , Gabriel Tellez , Emmanuel Trizac
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