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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

A robust, fast and accurate method for solving the Colebrook-like equations is presented. The algorithm is efficient for the whole range of parameters involved in the Colebrook equation. The computations are not more demanding than…

Classical Physics · Physics 2008-11-03 Didier Clamond

Using a solvable model, the two-dimensional two-component plasma, we study a Coulomb gas confined in a disk and in an annulus with boundaries that can adsorb some of the negative particles of the system. We obtain explicit analytic…

Statistical Mechanics · Physics 2007-05-23 Lina Merchan , Gabriel Tellez

The 2d one component gas of pointlike charges in a uniform neutralizing background interacting with a logarithmic potential is a common model for plasmas. In its classical equilibrium statistics at fixed temperature (canonical ensemble) it…

Mathematical Physics · Physics 2013-02-15 Timothy D. Andersen

In order to give a basis for the structure and correlation analysis of fine particle (dusty) plasma and colloidal suspensions, thermodynamic treatment of mixtures of macroscopic and microscopic charged particles within the adiabatic…

Plasma Physics · Physics 2015-06-11 Hiroo Totsuji

Active energy compression scheme is presently being investigated for future laser-plasma accelerators. This method enables generating laser-plasma accelerator electron beams with a small, $\sim 10^{-5}$, relative slice energy spread. When…

We present a numerical solution of the quantum Lenard-Balescu equation using a spectral method, namely an expansion in Laguerre polynomials. This method exactly conserves both particles and energy and facilitates the integration over the…

Simple practical expressions are put forward, which allow to estimate thermodynamic properties of Yukawa fluids in a wide range of coupling, up to the fluid-solid phase transition. These expressions demonstrate excellent agreement with the…

Plasma Physics · Physics 2015-02-27 Sergey Khrapak , Hubertus Thomas

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

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

A binary-pairing Monte Carlo collision method is presented here for screened Coulomb collisions in plasmas that is valid in the weakly and moderately coupled regimes. The method models the Fokker-Planck collision operator with first order…

Plasma Physics · Physics 2025-04-22 Justin Ray Angus , Johannes Johgan van de Wetering

Bridge functions, the missing link in the exact description of strong correlations, are indirectly extracted from specially designed molecular dynamics simulations of classical one-component plasma liquids and accurately parameterized.…

Plasma Physics · Physics 2022-06-14 F. Lucco Castello , P. Tolias , T. Dornheim

We review a family of local algorithms that permit the simulation of charged particles with purely local dynamics. Molecular dynamics formulations lead to discretizations similar to those of ``particle in cell'' methods in plasma physics.…

Statistical Mechanics · Physics 2009-11-10 A. C. Maggs , J. Rottler

This report addresses the moments, ${\mathfrak{G}_n}\left( {\mathbf{q}} \right) = \int_{ - \infty }^{ + \infty } {{\omega ^n}S\left( {{\mathbf{q}},\omega } \right)\mathrm{d}\omega },\,n \in \mathbb{N},\,n \geq - 1$, of the quantum…

Plasma Physics · Physics 2015-12-29 Basil J B Crowley

In computational molecular science, calculation of electrostatic interactions involving charged atoms - the strongest interactions in condensed phases, is a major bottleneck. We propose a quantum-classical algorithm for fast, yet, accurate…

Quantum Physics · Physics 2026-02-18 Mansur Ziiatdinov , Igor Novikov , Farid Ablayev , Valeri Barsegov

The correlation buildup and the formation dynamics of the shell structure in a spherically confined one-component plasma are studied. Using Langevin dynamics simulations the relaxation processes and characteristic time scales and their…

Plasma Physics · Physics 2015-05-14 H. Kaehlert , M. Bonitz

A many-body system of charged particles interacting via a pairwise Yukawa potential, the so-called Yukawa One Component Plasma (YOCP) is a good approximation for a variety of physical systems. Such systems are completely characterized by…

The spherical-box approach is extended to calculate the resonance parameters and the real part of the wave function for single particle resonances in a potential containing the long-range Coulomb interaction. A model potential is taken to…

Quantum Physics · Physics 2010-06-08 Shan-Gui Zhou , Jie Meng , En-Guang Zhao

The wide use of a speed-independent distance as a cut-off impact parameter together with Rutherford's scattering formula, within the cut-off theory, to account for charge screening in plasma environment embodies a clear inconsistency. A new…

Plasma Physics · Physics 2018-03-14 Mofreh R. Zaghloul

The normal modes of a three-dimensional Yukawa plasma in an isotropic, harmonic confinement are investigated by solving the linearized cold fluid equations. The eigenmodes are found analytically and expressed in terms of hypergeometric…

Plasma Physics · Physics 2010-11-29 H. Kählert , M. Bonitz
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