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The ground state of an externally confined one-component Yukawa plasma is derived analytically. In particular, the radial density profile is computed. The results agree very well with computer simulations on three-dimensional spherical…

Plasma Physics · Physics 2009-11-13 C. Henning , H. Baumgartner , A. Piel , P. Ludwig , V. Golubnichiy , M. Bonitz , D. Block

The effective potential acting on particles in plasmas being essentially the Debye-shielded Coulomb potential, the particles collisional transport in thermal equilibrium is calculated for all impact parameters $b$, with a convergent…

Plasma Physics · Physics 2019-02-20 Dominique F. Escande , Yves Elskens , Fabrice Doveil

The evaluation of electrostatic energy for a set of point charges in a periodic lattice is a computationally expensive part of molecular dynamics simulations (and other applications) because of the long-range nature of the Coulomb…

In dusty (complex) plasmas, containing mesoscopic charged grains, the grain-grain interaction in many cases can be well described through a Yukawa potential. In this Review we summarize the basics of the computational and theoretical…

Plasma Physics · Physics 2009-11-13 Zoltan Donko , Gabor J. Kalman , Peter Hartmann

Yukawa potentials are often used as effective potentials for systems as colloids, plasmas, etc. When the Debye screening length is large, the Yukawa potential tends to the non-screened Coulomb potential ; in this small screening limit, or…

Soft Condensed Matter · Physics 2010-09-08 Martial Mazars

We point out that confusion sometimes arises when using a chemical potential in plasma with Coulomb interactions. The results of our consideration are applied to the discussion of nuclear reactions screening. Finally, we present a…

Plasma Physics · Physics 2015-05-13 S. I. Glazyrin , S. I. Blinnikov

In a recent paper, Lucco Castello et al. [arXiv:2107.03537] performed systematic extractions of classical one-component plasma bridge functions from molecular dynamics simulations and provided an accurate parametrization that was…

Plasma Physics · Physics 2022-01-28 F. Lucco Castello , P. Tolias

We present equilibrium molecular-dynamics computations of the thermal conductivity and the two viscosities of the Yukawa one-component plasma. The simulations were performed within periodic boundary conditions and Ewald sums were…

Statistical Mechanics · Physics 2009-11-07 Gwenaël Salin , Jean-Michel Caillol

This paper is the continuation of a previous one [L. {\v{S}}amaj and B. Jancovici, 2007 {\it J. Stat. Mech.} P02002]; for a nearly classical quantum fluid in a half-space bounded by a plain plane hard wall (no image forces), we had…

Statistical Mechanics · Physics 2009-11-13 B. Jancovici , L. Samaj

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

We derive an effective coupling parameter for two-dimensional Yukawa systems based on the height of the first maximum of the pair distribution function. Two variants -- one valid in the high-coupling range, the other for arbitrary couplings…

Plasma Physics · Physics 2011-06-21 T. Ott , M. Bonitz

We prove an effective closing lemma for unipotent flows on quotients of perfect real groups. This is largely motivated by recent developments in effective unipotent dynamics.

Dynamical Systems · Mathematics 2024-10-28 Elon Lindenstrauss , Gregory Margulis , Amir Mohammadi , Nimish Shah , Andreas Wieser

A first-principle study of diffusion in a strongly coupled one-component plasma in a magnetic field B is presented. As in a weakly coupled plasma, the diffusion coefficient perpendicular to the field exhibits a Bohm-like 1/B-behavior in the…

Plasma Physics · Physics 2011-12-30 T. Ott , M. Bonitz

The 1/r Coulomb potential is calculated for a two dimensional system with periodic boundary conditions. Using polynomial splines in real space and a summation in reciprocal space we obtain numerically optimized potentials which allow us…

Other Condensed Matter · Physics 2016-03-15 Markus Holzmann , Bernard Bernu

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

Collisional relaxation of Coulomb systems is studied in the strongly coupled regime. We use an optical pump-probe approach to manipulate and monitor the dynamics of ions in an ultracold neutral plasma, which allows direct measurement of…

Plasma Physics · Physics 2013-02-26 G. Bannasch , J. Castro , P. McQuillen , T. Pohl , T. C. Killian

Accurate expression for the momentum transfer cross section for the attractive Yukawa potential is proposed. This simple analytic expression agrees with the numerical results better than to within $\pm 2\%$ in the regime relevant for…

Plasma Physics · Physics 2014-05-01 S. A. Khrapak

Concepts underlying the Enskog kinetic theory of hard-spheres are applied to include short-range correlation effects in a model for transport coefficients of strongly coupled plasmas. The approach is based on an extension of the effective…

Plasma Physics · Physics 2015-06-11 Scott D. Baalrud , Jerome Daligault

The two-dimensional one-component logarithmic Coulomb gas is mapped onto a non-hermitian fermionic field theory. At $\beta=2$, the field theory is free. Correlation functions are calculated and a perturbation theory is discussed for…

Statistical Mechanics · Physics 2015-06-25 M. B. Hastings

The resonant interaction between three waves in a uniform magnetized plasma is considered. Using the somewhat inaccessible result of the general theory we deduce the explicit expressions for the coupling coefficients of a cold magnetized…

Plasma Physics · Physics 2007-05-23 L. Stenflo , G. Brodin