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Representing the electrodynamics of relativistically drifting particle ensembles in discrete, co-propagating Galilean coordinates enables the derivation of a Particle-in-Cell algorithm that is intrinsically free of the Numerical Cherenkov…

We study the classical two-dimensional one-component plasma of $N$ positively charged point particles, interacting via the Coulomb potential and confined by an external potential. For the specific inverse temperature $\beta=1$ (in our…

Mathematical Physics · Physics 2019-08-21 Roland Bauerschmidt , Paul Bourgade , Miika Nikula , Horng-Tzer Yau

We investigate the Coulomb phase shift, and derive and analyze new and more precise analytical formulae. We consider next to leading order terms to the Stirling approximation, and show that they are important at small values of the angular…

Mathematical Physics · Physics 2017-03-29 J. C. A. Barata , L. F. Canto , M. S. Hussein

Phase separations in strongly coupled fine particles in plasmas are discussed and two-component mixtures are simulated by molecular dynamics with the background plasma being treated as continuum. The system size of laboratory experiments is…

Plasma Physics · Physics 2024-05-24 Hiroo Totsuji

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

The collision operator for a relativistic plasma is reformulated in terms of an expansion in spherical harmonics. In this formulation the collision operator is expressed in terms of five scalar potentials which are given by one-dimensional…

plasm-ph · Physics 2008-02-03 Bastiaan J. Braams , Charles F. F. Karney

A simple approach to describe the long-wavelength dispersion of the longitudinal (plasmon) mode of the classical one-component-plasma (OCP), with the main objective to correctly capture the onset of negative dispersion, is proposed. The…

Plasma Physics · Physics 2016-11-03 Sergey Khrapak

Simple practical approach to estimate thermodynamic properties of strongly coupled Yukawa systems, in both fluid and solid phases, is presented. The accuracy of the approach is tested by extensive comparison with direct computer simulation…

Sound velocities in classical single-component fluids with Yukawa (screened Coulomb) interactions are systematically evaluated and analyzed in one-, two-, and three spatial dimensions (${\mathcal D}=1,2,3$). In the strongly coupled regime…

Plasma Physics · Physics 2019-10-17 Sergey Khrapak

In this paper, the Slater integrals for a screened Coulomb interaction of the the Yukawa form are calculated and by fitting the Thomas-Fermi wavevector, good agreement is obtained with experiment for the multiplet spectra of $Pr^{3+}$ and…

Condensed Matter · Physics 2016-08-31 M. R. Norman

Because currently the most popular method of calculating plasma self-consistent fields is an incomplete method which, strictly speaking, is not suitable to scientific investigation, we develop this method into be a complete reliable basic…

Plasma Physics · Physics 2010-08-16 Hai Lin

Explicit analytical expressions for Helmholtz free energy, chemical potential, entropy and pressure of the multi-component dimerizing Yukawa hard-sphere fluid are presented. These expressions are written in terms of the Blum's scaling…

Soft Condensed Matter · Physics 2008-05-07 S. P. Hlushak , Yu. V. Kalyuzhnyi

Dynamic friction force, diffusion tensor, flux density in velocity space, and Coulomb collision term are expressed in curvilinear coordinates via Trubnikov potential functions corresponding to each species of background plasma. For…

Plasma Physics · Physics 2010-09-09 P. R. Goncharov

The local approach to computing electrostatic interactions proposed by Maggs and adapted by Pasichnyk for molecular dynamics simulations is extended to situations where the dielectric background medium is inhomogeneous. We furthermore…

Computational Physics · Physics 2014-12-10 Florian Fahrenberger , Christian Holm

An accurate and systematic equation of state for the hard-core one-component plasma (HCOCP) is obtained. The result is based on the Hubbard-Schofield transformation which yields the field-theoretical Hamiltonian, with coefficients expressed…

Soft Condensed Matter · Physics 2009-11-07 Nikolai V. Brilliantov , Vitali V. Malinin , Roland R. Netz

This paper intends to review some of the prominent properties of strongly coupled classical plasmas having in mind the possible link with the quark-gluon plasma created in heavy-ion collisions. Thermodynamic and transport properties of…

Nuclear Theory · Physics 2007-10-30 Z. Donko , P. Hartmann , G. J. Kalman

We consider a quantum multi-component plasma made of point charged particles interacting via the two-body Coulomb potential. Within the Feynman-Kac path integral representation of the system in terms of a classical gas of loops, we derive…

Statistical Mechanics · Physics 2020-08-19 A. Alastuey , V. Ballenegger , D. Wendland

Equilibrium molecular dynamics simulations are used to calculate the thermal conductivity of the one component plasma (OCP) via the Green-Kubo formalism over a broad range of Coulomb coupling strength, $0.1\le\Gamma\le180$. These…

Plasma Physics · Physics 2019-10-30 Brett Scheiner , Scott D. Baalrud

I propose a method to calculate logarithmic interaction in two dimensions and coulomb interaction in three dimensions under periodic boundary conditions. This paper considers the case of a rectangular cell in two dimensions and an…

Statistical Mechanics · Physics 2009-11-10 Sandeep Tyagi

A useful simplification of the quasilocalizded charge approximations (QLCA) method to calculate the dispersion relations in strongly coupled Yukawa fluids is discussed. In this simplified version, a simplest possible model radial…

Plasma Physics · Physics 2016-02-22 Sergey Khrapak , Boris Klumov , Lenaic Couedel , Hubertus Thomas
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