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Plasmon and polariton modes are derived for an ideal semi-infinite (half-space) plasma and an ideal plasma slab by using a general, unifying procedure, based on equations of motion, Maxwell's equations and suitable boundary conditions.…

Optics · Physics 2015-05-13 M. Apostol , G. Vaman

In this paper we propose a semi-Lagrangian discontinuous Galerkin solver for the simulation of the scrape off layer for an electron-ion plasma. We use a time adaptive velocity space to deal with fast particles leaving the computational…

Numerical Analysis · Mathematics 2024-08-22 Lukas Einkemmer , Alexander Moriggl

This paper is concerned with geometric exponential energy-preserving integrators for solving charged-particle dynamics in a magnetic field from normal to strong regimes. We firstly formulate the scheme of the methods for the system in a…

Numerical Analysis · Mathematics 2021-12-17 Ting Li , Bin Wang

This paper presents high-order, well-balanced, path-conservative discontinuous Galerkin (DG) methods for the shallow water linearized moment equations (SWLME), designed to preserve both still and moving water equilibrium states. Unlike the…

Numerical Analysis · Mathematics 2025-07-18 Ruilin Fan , Julian Koellermeier , Yinhua Xia , Yan Xu , Jiahui Zhang

We obtain a two-dimensional nonlinear system of equations for the electrostatic potential envelope and the low-frequency magnetic field perturbation to describe the interaction of the upper hybrid wave propagating perpendicular to an…

Plasma Physics · Physics 2025-01-14 Volodymyr M. Lashkin , Oleg K. Cheremnykh

The semi-Lagrangian methods with the improved number of one-dimensional advections are proposed for a plasma hybrid model with kinetic ions and mass-less electrons. Two subsystems with mass, momentum, and energy conservation are obtained by…

Numerical Analysis · Mathematics 2025-08-25 Yingzhe Li , Philip J. Morrison , Eric Sonnendrücker

We develop a provably energy stable discontinuous Galerkin spectral element method (DGSEM) approximation of the perfectly matched layer (PML) for the three and two space dimensional (3D and 2D) linear acoustic wave equations, in first order…

Numerical Analysis · Mathematics 2019-05-22 Kenneth Duru , Alice-Agnes Gabriel , Gunilla Kreiss

A novel particle merging algorithm for rarefied gas dynamics simulations is proposed that can conserve arbitrary velocity and spatial moments of the particle distribution via solving a non-negative least squares problem. An extension that…

Computational Physics · Physics 2026-04-02 Georgii Oblapenko , Manuel Torrilhon

A moving mesh discontinuous Galerkin method is presented for the numerical solution of hyperbolic conservation laws. The method is a combination of the discontinuous Galerkin method and the mesh movement strategy which is based on the…

Numerical Analysis · Mathematics 2020-04-20 Dongmi Luo , Weizhang Huang , Jianxian Qiu

A nonlinear dispersion of a general stationary wave in collisionless plasma is obtained in a non-differential form from a single-particle oscillation-center Hamiltonian. For electrostatic oscillations in nonmagnetized plasma, considered as…

Plasma Physics · Physics 2015-05-28 I. Y. Dodin , N. J. Fisch

We present a high order time-domain nodal discontinuous Galerkin method for wave problems on hybrid meshes consisting of both wedge and tetrahedral elements. We allow for vertically mapped wedges which can be deformed along the extruded…

Numerical Analysis · Mathematics 2016-11-02 Jesse Chan , Zheng Wang , Russell J. Hewett , T. Warburton

We propose a 2D graphene structure containing atomic ensemble as a platform for implementing nanoscale enhanced coherent interactions of plasmonic fields with resonant atomic systems. We determine the graphene surface plasmon modes, and the…

Optics · Physics 2025-07-17 Ali A. Kamli , Sergey A. Moiseev

In this work, we suggest an easy-to-code higher-order finite volume semi-discrete scheme to analyze the nonlinear behavior of the electron-plasma oscillations by solving electron fluid equations numerically. The present method employs a…

Plasma Physics · Physics 2018-02-13 Prabal Singh Verma

The present paper theoretically investigates features of quantum dynamics for localized plasmons in three-particle or four-particle spaser systems consisting of metal nanoparticles and semiconductor quantum dots. In the framework of the…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 M. Yu. Gubin , A. V. Shesterikov , S. N. Karpov , A. V. Prokhorov

We construct a mean-field model that describes the nonlinear dynamics of a spin-polarized electron gas interacting with fixed, positively-charged ions possessing a magnetic moment that evolves in time. The mobile electrons are modeled by a…

The nonlinear interaction between counterpropagating Alfven waves is the physical mechanism underlying the cascade of energy to small scales in astrophysical plasma turbulence. Beginning with the equations for incompressible MHD, an…

Solar and Stellar Astrophysics · Physics 2015-06-16 Gregory G. Howes , Kevin D. Nielson

Resonant scattering of fast particles off low frequency plasma waves is a major process determining transport characteristics of energetic particles in the heliosphere and contributing to their acceleration. Usually, only Alfv\'en waves are…

High Energy Astrophysical Phenomena · Physics 2017-02-20 Cedric Schreiner , Patrick Kilian , Felix Spanier

In collisionless and weakly collisional plasmas, the particle distribution function is a rich tapestry of the underlying physics. However, actually leveraging the particle distribution function to understand the dynamics of a weakly…

Plasma Physics · Physics 2020-05-29 James Juno

This paper addresses the linear and nonlinear three-dimensional propagation of an electron wave in a collisionless plasma that may be inhomogeneous, nonstationary, anisotropic and even weakly magnetized. The wave amplitude, together with…

Plasma Physics · Physics 2016-11-03 Didier Bénisti

To better understanding the principal features of collisionless damping/growing plasma waves we have implemented a demonstrative calculation for the simplest cases of electron waves in two-stream plasmas with the delta-function type…

Plasma Physics · Physics 2007-08-07 V. N. Soshnikov
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