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To expand on recent work, we introduce collisional terms in the analysis of the warm ion-electron, two-fluid equations for a homogeneous plasma at rest. Consequently, the plasma is now described by six variables: the magnetisation, the…

等离子体物理 · 物理学 2024-05-21 Joeri De Vadder , Jordi De Jonghe , Rony Keppens

We derive axisymmetric equilibrium equations in the context of the hybrid Vlasov model with kinetic ions and massless fluid electrons, assuming isothermal electrons and deformed Maxwellian distribution functions for the kinetic ions. The…

等离子体物理 · 物理学 2024-06-06 D. A. Kaltsas , A. Kuiroukidis , P. J. Morrison , G. N. Throumoulopoulos

A new formulation of the plasma resistivity that arises from the collisional momentum-transfer rate between electrons and ions is presented. The resistivity computed herein is shown to depend not only on the temperature and density but also…

等离子体物理 · 物理学 2017-11-21 Manasvi Lingam , Eero Hirvijoki , David Pfefferlé , Luca Comisso , Amitava Bhattacharjee

A multispecies, collisionless plasma is modeled by the Vlasov-Poisson system. Assuming the plasma is neutral and the electric field decays with sufficient rapidity as $t \to\infty$, we show that solutions can be constructed with arbitrarily…

偏微分方程分析 · 数学 2025-02-06 Grace Mattingly , Stephen Pankavich , Jonathan Ben-Artzi

A multistream model for spinless electrons in a relativistic quantum plasma is introduced by means of a suitable fluid-like version of the Klein-Gordon-Maxwell system. The one and two-stream cases are treated in detail. A new linear…

等离子体物理 · 物理学 2015-06-05 F. Haas , B. Eliasson , P. K. Shukla

The dissipation mechanism of the magnetic energy in turbulent collisionless space and astrophysical plasmas is still not well understood. Its investigation requires efficient kinetic simulations of the energy transfer in collisionless…

等离子体物理 · 物理学 2022-06-01 Neeraj Jain , Patricio Muñoz , Meisam Farzalipour Tabriz , Markus Rampp , Jörg Büchner

The one-dimensional Vlasov-Poisson system is considered and a particle method is developed to approximate solutions without compact support which tend to a fixed background of charge as $| x | \to \infty$. Such a system of equations can be…

数值分析 · 数学 2014-01-03 Stephen Pankavich

A collisionless plasma is modeled by the Vlasov-Poisson system in one-dimension. A fixed background of positive charge, dependent only upon velocity, is assumed and the situation in which the mobile negative ions balance the positive charge…

偏微分方程分析 · 数学 2010-03-01 Stephen Pankavich

The physics of plasmas containing positive and negative ions is discussed with special attention to the recently produced pair-ion plasma containing ions of equal mass and opposite charge. The effects of the density gradient in the…

等离子体物理 · 物理学 2009-11-13 J. Vranjes , D. Petrovic , B. P. Pandey , S. Poedts

The electrodynamics of a two-dimensional gas of massless fermions in graphene is studied by a collisionless hydrodynamic approach. A low-energy dispersion relation for the collective modes (plasmons) is derived both in the absence and in…

介观与纳米尺度物理 · 物理学 2013-12-10 R. Roldán , J. -N. Fuchs , M. O. Goerbig

Hybrid-kinetic simulations describe ion-scale kinetic phenomena in space plasmas by considering ions kinetically, i.e. as particles, while electrons are modelled as a fluid. Most of the existing hybrid-kinetic codes neglect the electron…

等离子体物理 · 物理学 2022-07-04 Neeraj Jain , Patricio A. Muñoz , Jörg Büchner

In this work we introduce, for the first time, as far as we know, a complete self-consist kinetic model for collisional transport in the nonextensive statistics, i.e., the generalization of the ordinary Maxwell-Boltmzann statistics…

等离子体物理 · 物理学 2018-06-08 Diego S. Oliveira , Ricardo M. O. Galvão

We consider the asymptotics of large external magnetic field for a 2D Vlasov-Poisson system governing the evolution of a bounded density interacting with a point charge. In a suitable asymptotical regime, we show that the solution converges…

偏微分方程分析 · 数学 2017-11-16 Evelyne Miot

We derive and implement a suitable boundary condition for the kinetic description of the electrons inside a plasma, which takes into account microphysical processes inside the wall. It is based on the surface scattering kernel, which…

等离子体物理 · 物理学 2025-11-26 Felix Willert , Clemens Hoyer , Gordon K. Grubert , Franz X. Bronold

An important physical model describing the dynamics of dilute weakly ionized plasmas in the collisional kinetic theory is the Vlasov-Poisson-Boltzmann system for which the plasma responds strongly to the self-consistent electrostatic force.…

偏微分方程分析 · 数学 2012-03-20 Renjun Duan , Tong Yang , Huijiang Zhao

Plasma is a medium filled with free electrons and positive ions. Each particle acts as a conducting fluid with a single velocity and temperature when electromagnetic fields are present. This distinction between the roles played by electrons…

等离子体物理 · 物理学 2024-10-01 Emily Kelting , J. Douglas Wright

A dispersion relation for a commonly used hybrid model of plasma physics is developed, which combines fully kinetic ions and a massless-electron fluid description. Although this model and variations of it have been used to describe plasma…

等离子体物理 · 物理学 2022-03-30 Daniel Told , Tessa Cookmeyer , Patrick Astfalk , Frank Jenko

We present a self-consistent kinetic theory for the electronic response of a plasma-facing dielectric solid. Based on the Poisson equation and two sets of spatially separated Boltzmann equations, one for electrons and ions in the plasma and…

等离子体物理 · 物理学 2017-08-02 Franz X. Bronold , Holger Fehske

Collisionless plasma systems are often studied using fully kinetic simulations, where protons and electrons are treated as particles. Due to their computational expense, it is necessary to reduce the ion-to-electron mass ratio $m_i/m_e$ or…

等离子体物理 · 物理学 2024-11-28 J. Ng , J. Yoo , L. -J. Chen , N. Bessho , H. Ji

We investigate a class of Vlasov-type kinetic flocking models featuring nonlinear velocity alignment. Our primary objective is to rigorously derive the hydrodynamic limit leading to the compressible Euler system with nonlinear alignment.…

偏微分方程分析 · 数学 2024-12-11 McKenzie Black , Changhui Tan