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The universal finite-size correction to the free energy of a two-dimensional Coulomb system is checked in the special case of a one-component plasma on a sphere. The correction is related to the known second moment of the short-range part…

Statistical Mechanics · Physics 2009-10-31 Bernard Jancovici , Emmanuel Trizac

We determine exactly the short-distance effective potential between two "guest" charges immersed in a two-dimensional two-component charge-asymmetric plasma composed of positively ($q_1 = +1$) and negatively ($q_2 = -1/2$) charged point…

Soft Condensed Matter · Physics 2021-09-01 Lucas Varela , Gabriel Téllez

Thermodynamic potential of a neutral two-dimensional (2D) Cou\-lomb fluid, confined to a large domain with a smooth boundary, exhibits at any (inverse) temperature $\beta$ a logarithmic finite-size correction term whose universal prefactor…

Statistical Mechanics · Physics 2017-10-12 Ladislav Šamaj

The motion of a collisionless plasma is described by the Vlasov-Poisson system, or in the presence of large velocities, the relativistic Vlasov-Poisson system. Both systems are considered in one space and one momentum dimension, with two…

Analysis of PDEs · Mathematics 2010-03-01 Stephen Pankavich , Robert Glassey , Jack Schaeffer

We extend an isothermal thermal model of ultracold neutral plasma expansion to systems without spherical symmetry, and use this model to interpret new fluorescence measurements on these plasmas. By assuming a self-similar expansion, it is…

Atomic Physics · Physics 2009-11-11 E. A. Cummings , J. E. Daily , D. S. Durfee , S. D. Bergeson

In this paper, we investigated the Pauli equation in a two-dimensional noncommutative phase-space by considering a constant magnetic field perpendicular to the plane. We mapped the noncommutative problem to the equivalent commutative one…

High Energy Physics - Theory · Physics 2021-10-11 Ilyas Haouam

The perturbations of a homogeneous non-relativistic two-component plasma are studied in the Coulomb gauge. Starting from the solution found [2] of the equations of electromagnetic self consistency in a plasma [1], we add small perturbations…

Plasma Physics · Physics 2007-05-23 Evangelos Chaliasos

We study an unconventional two-dimensional, two-component classical plasma on a sphere, with emphasis on detecting signatures of melting transitions. This system is relevant to Ising-type quantum Hall states, and is unconventional in the…

Statistical Mechanics · Physics 2013-02-14 Egil V. Herland , Egor Babaev , Parsa Bonderson , Victor Gurarie , Chetan Nayak , Leo Radzihovsky , Asle Sudbø

In the framework of the grand-canonical ensemble of statistical mechanics, we give an exact diagrammatic representation of the density profiles in a classical multicomponent plasma near a dielectric wall. By a reorganization of Mayer…

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

Dusty plasma can exist in a wide range, from the laboratory to Saturn's rings. The coupling parameter plays a very important role in diagnosing dusty plasma. There are two ways to deal analytically with the effect of coupling in plasma.…

Plasma Physics · Physics 2023-11-29 J. Goswami , S. S. Kausik

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

Classical MD data on the charge-charge dynamic structure factor of two-component plasmas (TCP) modeled in Phys. Rev. A 23, 2041 (1981) are analyzed using the sum rules and other exact relations. The convergent power moments of the imaginary…

We investigate the strongly correlated ion dynamics and the degree of coupling achievable in the evolution of freely expanding ultracold neutral plasmas. We demonstrate that the ionic Coulomb coupling parameter $\Gamma_{\rm i}$ increases…

Plasma Physics · Physics 2009-11-11 T. Pohl , T. Pattard , J. M. Rost

The one-component plasma (OCP) represents the simplest statistical mechanical model of a Coulomb system. For this reason, it has been extensively studied over the last forty years. The advent of the integral equations has resulted in a…

Soft Condensed Matter · Physics 2015-06-25 M. N. Tamashiro , Yan Levin , Marcia C. Barbosa

In a Coulomb fluid confined to a domain $V$, the dielectric susceptibility tensor $\chi_V$ depends on the shape of $V$, even in the thermodynamic $V\to\infty$ limit. This paper deals with the classical two-dimensional one-component plasma…

Statistical Mechanics · Physics 2007-05-23 Ladislav Šamaj

Results for the dynamic structure factor of a one-component plasma are presented for the situations of strong coupling and weak degeneracy and strong degeneracy and weak coupling. Possibilities to obtain rigorous results when both, coupling…

Statistical Mechanics · Physics 2009-11-07 M. Bonitz , V. Golubnichiy , N. H. Kwong , D. Semkat , D. Kremp , V. S. Filinov , M. Schlanges

The equation of state of a one-dimensional classical nonrelativistic Coulomb gas of particles in the adjoint representation of SU(2) is given. The problem is solved both with and without sources in the fundamental representation at either…

High Energy Physics - Theory · Physics 2009-10-30 Michael Engelhardt

Molecular dynamics simulations have been performed to investigate in detail collective modes spectra of two-dimensional Coulomb fluids in a wide range of coupling. The obtained dispersion relations are compared with theoretical approaches…

Plasma Physics · Physics 2018-10-11 S. A. Khrapak , N. P. Kryuchkov , L. A. Mistryukova , A. G. Khrapak , S. O. Yurchenko

Plasmas in strong magnetic fields have been mainly studied in two distinct limiting cases--that of weak and strong nonideality with very different physical properties. While the former is well described by the familiar theory of Braginskii,…

Plasma Physics · Physics 2021-12-23 Hanno Kählert , Michael Bonitz

Using techniques of effective field theory, we consider the thermodynamical properties of a dilute two-dimensional plasma interacting via a $1/r$ potential. The first one-loop correction to the partition function is already logarithmically…

Plasma Physics · Physics 2008-11-26 Manuel A. Valle Basagoiti