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A recently proposed local second contact value theorem [Henderson D., Boda D., J. Electroanal. Chem., 2005, 582, 16] for the charge profile of an electric double layer is used in conjunction with the existing Monte Carlo data from the…

Soft Condensed Matter · Physics 2012-07-16 L. B. Bhuiyan , D. Henderson , S. Sokołowski

Electric double layers (EDL) with counterions only, say electrons with the elementary charge $-e$, in thermal equilibrium at the inverse temperature $\beta$ are considered. In particular, we study the effect of the surface charge modulation…

Statistical Mechanics · Physics 2022-07-26 Ladislav Šamaj

When a Coulombic fluid is confined between two parallel charged plates, an exact relation links the difference of ionic densities at contact with the plates, to the surface charges of these boundaries. It no longer applies when the…

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

The contact value of the charge profile for nonsymmetrical electrolytes is presented as the sum of three contributions. One of them is the normal component of the Maxwell electrostatic stress tensor. The second one is the surface…

Statistical Mechanics · Physics 2009-11-13 M. Holovko , D. di Caprio

In this paper, starting from the Bogoliubov-Born-Green-Yvon equations of the liquid-state theory, we formulate two equivalent approaches for the calculation of the total density profile and of the charge density profile of ionic fluids near…

Soft Condensed Matter · Physics 2023-10-20 Myroslav Holovko , Vojko Vlachy , Dung di Caprio

The general formula for the interaction potential between two point electric charges which contains the lowest order corrections to the vacuum polarization is derived and investigated. Analytical derivation of this formula is based on the…

Mathematical Physics · Physics 2013-10-08 Alexei M. Frolov

We consider equilibrium statistical mechanics of a simplified model for the ideal conductor electrode in an interface contact with a classical semi-infinite electrolyte, modeled by the two-dimensional Coulomb gas of pointlike $\pm$ unit…

Statistical Mechanics · Physics 2009-11-11 L. Samaj , Z. Bajnok

We study the energy-transfer rate for electrons in a double-quantum-well structure, where the layers are coupled through screened Coulomb interactions. The energy-transfer rate between the layers (similar to the Coulomb drag effect in which…

Condensed Matter · Physics 2009-11-07 R. T. Senger , B. Tanatar

An interacting double layer system, with uniform positive background, is studied at finite temperature in the presense of a strong magnetic field corresponding to half filling in each layer. By mapping this system to composite fermions in…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 S. Sakhi

From non-linear modification of Maxwell-Einstein theory, considered in (physics/9801031), follows modified Coulomb law for interaction between charged objects. Namely, if $(m, e)$ and $(m', e')$ are masses and charges of two objects, then…

General Physics · Physics 2007-05-23 Dmitriy Palatnik

We study the equilibrium statistical mechanics of classical two-dimensional Coulomb systems living on a pseudosphere (an infinite surface of constant negative curvature). The Coulomb potential created by one point charge exists and goes to…

Condensed Matter · Physics 2007-05-23 B. Jancovici , G. Tellez

We show that application of voltage between two electrically conducting bodies separated by a thin dielectric layer is equivalent to an adhesive contact with an effective separation energy depending quadratically on the applied stress.…

Soft Condensed Matter · Physics 2018-05-24 Valentin L. Popov , Markus Hess

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

We formulate a general mean-field theory of a flat electric double layer in ionic liquids and electrolyte solutions with ions possessing static polarizability and a permanent dipole moment on a charged electrode. We establish a new…

Statistical Mechanics · Physics 2021-08-17 Yu. A. Budkov , S. V. Zavarzin , A. L. Kolesnikov

The Coulomb contribution to the temperature-dependent rate of momentum transfer, $1/\tau_D$, between two electron systems in parallel layers is determined by setting up two coupled Boltzmann equations, with the boundary condition that no…

Condensed Matter · Physics 2009-10-22 Antti-Pekka Jauho , Henrik Smith

The Coulomb's formula for the force FC of electrostatic interaction between two point charges is well known. In reality, however, interactions occur not between point charges, but between charged bodies of certain geometric form, size and…

Soft Condensed Matter · Physics 2016-04-26 Kiril Kolikov

We study the asymptotic long-range behavior of the time-dependent correlation function of the surface charge density induced on the interface between two media of distinct dielectric functions which are in thermal equilibrium with one…

Statistical Mechanics · Physics 2016-10-26 Ladislav Samaj

The contact value theorem for Coulomb gases in planar or film-like geometries is derived using a Hamiltonian field theoretic representation of the system. The case where the film is enclosed by a material of different dielectric constant to…

Soft Condensed Matter · Physics 2009-11-10 D. S. Dean , R. R. Horgan

After a brief review of previous work, two exactly solvable two-dimensional models of a finite Coulomb fluid in a disc are studied. The charge correlation function near the boundary circle is computed. When the disc radius is large compared…

Statistical Mechanics · Physics 2009-11-07 B. Jancovici

The screened Coulomb interaction between uniformly charged flat plates is considered at very small plate separations for which the Debye layers are strongly overlapped, in the limit of small electrical potentials. If the plates are of…

Soft Condensed Matter · Physics 2017-02-06 Sandip Ghosal , John D. Sherwood
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