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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 consider the two-dimensional one-component plasma without a background and confined to a half plane near a metal wall. The particles are also subjected to an external potential acting perpendicular to the wall with an inverse power law…

Condensed Matter · Physics 2009-10-28 A. Alastuey , P. J. Forrester

We study the classical non-relativistic two-dimensional one-component plasma at Coulomb coupling Gamma=2 on the Riemannian surface known as Flamm's paraboloid which is obtained from the spatial part of the Schwarzschild metric. At this…

Statistical Mechanics · Physics 2009-03-19 Riccardo Fantoni , Gabriel Tellez

We present Monte Carlo simulations of the two-dimensional one-component plasma (2D OCP) confined to a cylindrical geometry, focusing on density profiles, fluctuations, and their connection to bulk correlation functions. The cylindrical…

Statistical Mechanics · Physics 2024-12-23 Gabriel Cardoso , Jean-Marie Stéphan , Alexander G. Abanov

A systematic study of the properties of particle and charge correlation functions in the two-dimensional Coulomb gas confined to a one-dimensional domain is undertaken. Two versions of this system are considered: one in which the positive…

Condensed Matter · Physics 2009-10-28 A. Alastuey , P. J. Forrester

We revisit the problem of computing the boundary density profile of a droplet of two-dimensional one-component plasma (2D OCP) with logarithmic interaction between particles in a confining harmonic potential. At a sufficiently low…

Statistical Mechanics · Physics 2020-12-30 Gabriel Cardoso , Jean-Marie Stéphan , Alexander G. Abanov

The dynamics of a globally neutral system of diffusing Coulomb charges in two dimensions, driven by an applied electric field, is studied in a wide temperature range around the Berezinskii-Kosterlitz-Thouless transition. I argue that the…

Statistical Mechanics · Physics 2009-10-30 Dierk Bormann

We study a two-dimensional Coulomb gas consisting of a mixture of particles carrying various positive multiple integer charges, confined on a unit circle. We consider the system in the canonical and grand canonical ensembles, and attempt to…

Statistical Mechanics · Physics 2008-11-26 Niko Jokela , Matti Jarvinen , Esko Keski-Vakkuri

Classical Coulomb systems at equilibrium, bounded by a plane dielectric wall, are studied. A general two-point charge correlation function is considered. Valid for any fixed position of one of the points, a new relation is found between the…

Statistical Mechanics · Physics 2007-05-23 B. Jancovici , L. Šamaj

A quasi-two-dimensional system of hard spheres strongly confined between two parallel plates is considered. The attention is focussed on the macroscopic self-diffusion process observed when the system is looked from above or from below. The…

Statistical Mechanics · Physics 2020-01-09 J. Javier Brey , M. I. García de Soria , P. Maynar

We consider non-relativistic systems in quantum mechanics interacting through the Coulomb potential, and discuss the existence of bound states which are stable against spontaneous dissociation into smaller atoms or ions. We review the…

Atomic Physics · Physics 2009-11-10 E. A. G. Armour , J. -M. Richard , K. Varga

The two-dimensional one-component plasma at the special coupling \beta = 2 is known to be exactly solvable, for its free energy and all of its correlations, on a variety of surfaces and with various boundary conditions. Here we study this…

Mathematical Physics · Physics 2016-11-25 Jonit Fischmann , Peter J. Forrester

Adsorption on a boundary line confining a monolayer of particles self-assembling into clusters is studied by MC simulations. We focus on a system of particles interacting via competing interaction potential in which effectively short-range…

Soft Condensed Matter · Physics 2020-01-22 E. Bildanau , J. Pȩkalski , V. Vikhrenko , A. Ciach

In this paper we study a model for the sedimentation equilibrium of a charged colloidal suspension: the two-dimensional two-component plasma in a gravitational field which is exactly solvable at a special value of the reduced inverse…

Statistical Mechanics · Physics 2009-10-28 Gabriel Tellez

The classical (i.e. non-quantum) equilibrium statistical mechanics of a two-dimensional one-component plasma (a system of charged point-particles embedded in a neutralizing background) living on a pseudosphere (an infinite surface of…

Statistical Mechanics · Physics 2007-05-23 R. Fantoni , B. Jancovici , G. Téllez

We study a limiting absorption principle for the boundary-value problem describing a hybrid plasma resonance, with a regular coefficient in the principal part of the operator that vanishes on a curve inside the domain and changes its sign…

Analysis of PDEs · Mathematics 2025-10-20 Maryna Kachanovska , Étienne Peillon

We consider the binding energy of a two-body system with a repulsive Coulomb interaction in a finite periodic volume. We define the finite-volume Coulomb potential as the usual Coulomb potential, except that the distance is defined as the…

Nuclear Theory · Physics 2023-12-01 Hang Yu , Sebastian König , Dean Lee

We consider the two-dimensional two-component plasma, or Coulomb gas, consisting of $N$ positive and $N$ negative charges with logarithmic interaction. We introduce a suitable regularization of the interaction by smearing the charges over a…

Mathematical Physics · Physics 2024-10-03 Jeanne Boursier , Sylvia Serfaty

The model under consideration is the two-dimensional (2D) one-component plasma of pointlike charged particles in a uniform neutralizing background, interacting through the logarithmic Coulomb interaction. Classical equilibrium statistical…

Statistical Mechanics · Physics 2009-11-10 L. Samaj

We initiate a study of anisotropic plasma at strong coupling using the AdS/CFT correspondence. We construct an exact dual geometry which represents a static uniform but anisotropic system and find, that although it is singular, it allows…

High Energy Physics - Theory · Physics 2008-11-26 Romuald A. Janik , Przemyslaw Witaszczyk