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This paper is a first step toward understanding the effect of toroidal geometry on the rigorous stability theory of plasmas. We consider a collisionless plasma inside a torus, modeled by the relativistic Vlasov-Maxwell system. The surface…

偏微分方程分析 · 数学 2015-06-16 Toan T. Nguyen , Walter A. Strauss

This paper presents a grid-free simulation algorithm for the fully three-dimensional Vlasov--Poisson system for collisionless electron plasmas. We employ a standard particle method for the numerical approximation of the distribution…

数值分析 · 数学 2020-03-06 Torsten Keßler , Sergej Rjasanow , Steffen Weißer

The exact 1+3 covariant dynamical fluid equations for a multi-component plasma, together with Maxwell's equations are presented in such a way as to make them suitable for a gauge-invariant analysis of linear density and velocity…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Mattias Marklund , Peter K. S. Dunsby , Gerold Betschart , Martin Servin , Christos Tsagas

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…

The plasma edge flow, situated at the intricate boundary between plasma and neutral particles, plays a pivotal role in the design of nuclear fusion devices such as divertors and pumps. Traditional numerical simulation methods, such as the…

计算物理 · 物理学 2024-11-14 Yifan Wen , Yanbing Zhang , Lei Wu

The hybrid Vlasov-Maxwell system of equations is suitable to describe a magnetized plasma at scales of the order of or larger than proton kinetic scales. An exact stationary solution is presented by revisiting previous results with a…

等离子体物理 · 物理学 2018-06-06 F. Malara , O. Pezzi , F. Valentini

We present a Bayesian method for inferring axisymmetric plasma equilibria from the magnetic field and plasma pressure measurements. The method calculates all possible solutions for plasma current and pressure distributions consistent with…

等离子体物理 · 物理学 2025-03-03 Sehyun Kwak , J. Svensson , O. Ford , L. Appel , Y. -c. Ghim , JET Contributors

In this paper, we present an efficient Particle-In-Cell algorithm for the simulation of the three dimensional Vlasov-Poisson system in the presence of a strong external magnetic field. When the intensity of the magnetic field is…

数值分析 · 数学 2018-05-29 Francis Filbet , Chang Yang

This work presents a multidisciplinary mathematical model, as a set of coupled governing equations and auxiliary relations describing the fluid-flow, thermal, and electric fields of partially-ionized plasma with low magnetic Reynolds…

等离子体物理 · 物理学 2024-11-01 Osama A. Marzouk

We describe an algorithm that computes the linear dispersion relation of waves and instabilities in relativistic plasmas within a Vlasov-Maxwell description. The method used is fully relativistic and involves explicit integration of…

天体物理学 · 物理学 2009-11-13 J Petri , J G Kirk

We present a \emph{Mathematica} notebook allowing for the symbolic calculation of the $3\times3$ dielectric tensor of a electron-beam plasma system in the fluid approximation. Calculation is detailed for a cold relativistic electron beam…

等离子体物理 · 物理学 2007-05-23 A. Bret

A formulation for stationary axisymmetric electromagnetic fields in general relativity is derived by casting them into the form of an anisotropic fluid. Several simplifications of the formalism are carried out in order to analyze different…

广义相对论与量子宇宙学 · 物理学 2009-11-10 L. Fernandez-Jambrina , F. J. Chinea

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…

等离子体物理 · 物理学 2007-05-23 Evangelos Chaliasos

Astrophysical fluids under the influence of magnetic fields are often subjected to single-fluid or two-fluid approximations. In the case of weakly ionized plasmas however, this can be inappropriate due to distinct responses from the…

天体物理学 · 物理学 2008-11-26 S. O'Sullivan , T. P. Downes

The relativistic Vlasov-Maxwell system of plasma physics is considered with initial data on a past light cone. This characteristic initial value problem arises in a natural way as a mathematical framework to study the existence of solutions…

数学物理 · 物理学 2009-11-11 Simone Calogero

Advanced spectral and statistical data analysis techniques have greatly contributed to shaping our understanding of microphysical processes in plasmas. We review some of the main techniques that allow for characterising fluctuation…

等离子体物理 · 物理学 2013-06-25 T. Dudok de Wit , O. Alexandrova , I. Furno , L. Sorriso-Valvo , G. Zimbardo

Strict mathematics reveals that the strict solution of a Vlasov-Maxwell equation set cannot be of a zero-temperature mathematical form. This universal property of Vlasov-Maxwell system can lead to a closed equation set of three macroscopic…

等离子体物理 · 物理学 2014-03-03 H. Lin

The standard theory of plasma emission is based on kinetic couplings between a single beam of energetic electrons and unmagnetized thermal plasmas, involving multi-step nonlinear wave-particle and wave-wave interactions. The theory has not…

等离子体物理 · 物理学 2022-11-09 Zilong Zhang , Yao Chen , Sulan Ni , Chuanyang Li , Hao Ning , Yaokun Li , Xiangliang Kong

Particle-in-Cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we developed a canonical symplectic PIC method for the…

等离子体物理 · 物理学 2016-01-20 Hong Qin , Jian Liu , Jianyuan Xiao , Ruili Zhang , Yang He , Yulei Wang , Yajuan Sun , Joshua W. Burby , Leland Ellison , Yao Zhou

The time evolution of a collisionless plasma is modeled by the relativistic Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equations of electrodynamics. We consider the case that the plasma…

数学物理 · 物理学 2020-07-03 Jörg Weber