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The quasi-neutral hybrid model with kinetic ions and fluid electrons is a promising approach for bridging the inherent multi-scale nature of many problems in space and laboratory plasmas. Here, a novel, implicit, particle-in-cell based…

Plasma Physics · Physics 2018-11-14 A. Stanier , L. Chacón , G. Chen

A generalized fluid-particle hybrid model for collisionless plasmas under the assumption of quasi-neutrality is presented. The system consists of fluid ions and electrons as well as arbitrary numbers of species whose dynamics is governed by…

Space Physics · Physics 2018-05-09 Takanobu Amano

Simulating fully kinetic, two-species plasmas is computationally challenging due to the stiff multiscale dynamics of electrons and ions. While enforcing a quasi-neutral time evolution mitigates this stiffness, it requires an electric…

Plasma Physics · Physics 2026-04-24 M. Pelkner , K. Hallatschek , M. Raeth

We explore the possibilities of applying structure-preserving numerical methods to a plasma hybrid model with kinetic ions and mass-less fluid electrons satisfying the quasi-neutrality relation. The numerical schemes are derived by finite…

Numerical Analysis · Mathematics 2023-04-05 Yingzhe Li , Martin Campos Pinto , Florian Holderied , Stefan Possanner , Eric Sonnendrücker

We present a novel numerical scheme for the efficient and accurate solution of the isothermal two-fluid (electron and ion) equations coupled to Poisson's equation for low-temperature plasmas. The model considers electrons and ions as…

Computational Physics · Physics 2020-07-15 Alejandro Alvarez Laguna , Teddy Pichard , Thierry Magin , Pascal Chabert , Anne Bourdon , Marc Massot

The paper presents a 1D2V electrostatic PIC model with a drift-kinetic description of all particle types aiming at simulating classical longitudinal plasma transport in axially symmetric open traps. The model generalizes the semi-implicit…

Plasma Physics · Physics 2026-02-03 V. V. Glinskiy , I. V. Timofeev , V. V. Prikhodko

In this paper, we develop a one-dimensional (1-D), quasineutral, hybrid Vlasov-Maxwell equilibrium model with kinetic ions and massless fluid electrons and derive associated solutions. The model allows for an electrostatic potential that is…

Plasma Physics · Physics 2023-08-01 Dimitrios A. Kaltsas , Philip J. Morrison , George N. Throumoulopoulos

Self-consistent, one-dimensional quasineutral screw-pinch equilibria are constructed within a hybrid model that couples fluid electrons with kinetic ions governed by the Vlasov equation. The equilibria depend on the radial coordinate…

Plasma Physics · Physics 2025-07-29 D. A. Kaltsas , A. I. Kuiroukidis , G. N. Throumoulopoulos

We study the symmetric periodic Anderson model of the conduction electrons hybridized with the localized correlated electrons on square lattice. Using the canonical representation of electrons by Kumar, we do a self-consistent theory of its…

Strongly Correlated Electrons · Physics 2019-06-25 Panch Ram , Brijesh Kumar

We describe a new model for the study of weakly-collisional, magnetized plasmas derived from exploiting the separation of the dynamics parallel and perpendicular to the magnetic field. This unique system of equations retains the particle…

Plasma Physics · Physics 2025-10-06 James Juno , Ammar Hakim , Jason M. TenBarge

In this paper, we investigate numerical methods for solving Nickel-based phase field system related to free energy, including the elastic energy and logarithmic type functionals. To address the challenge posed by the particular free energy…

Numerical Analysis · Mathematics 2022-09-19 Jizu Huang , Chao Yang

The problem of the linear microtearing mode in a slab magnetised plasma, and its connection to kinetic reconnecting modes, is addressed. Electrons are described using a novel hybrid fluid-kinetic model that captures electron heating, ions…

Plasma Physics · Physics 2015-06-23 A Zocco , N F Loureiro , D Dickinson , R Numata , C M Roach

Density inhomogeneities are ubiquitous in space and astrophysical plasmas, in particular at contact boundaries between different media. They often correspond to regions that exhibits strong dynamics on a wide range of spatial and temporal…

Plasma Physics · Physics 2021-08-04 F. Lavorenti , P. Henri , F. Califano , S. Aizawa , N. André

The present work is devoted to the simulation of a strongly magnetized plasma considered as a mixture of an ion fluid and an electron fluid. For the sake of simplicity, we assume that the model is isothermal and described by Euler equations…

Mathematical Physics · Physics 2014-04-08 Stéphane Brull , Pierre Degond , Fabrice Deluzet , Alexandre Mouton

Electromagnetic particle simulation model has been formulated and verified for nonlinear processes of lower hybrid (LH) waves in fusion plasmas. Electron dynamics is described by the drift kinetic equation using either kinetic momentum or…

Plasma Physics · Physics 2017-10-06 J. Bao , Z. Lin , A. Kuley , Z. X. Wang

Previous studies of phase mixing of ion cyclotron (IC), Alfv\'enic, waves in the collisionless regime have established the generation of parallel electric field and hence acceleration of electrons in the regions of transverse density…

Astrophysics · Physics 2008-12-23 D. Tsiklauri , T. Haruki

We consider the one dimensional space-periodic Vlasov-Poisson equations and construct, close to symmetric flat velocity strips, small amplitude traveling quasi-periodic electron-layers, namely strip-shaped patches of electrons in the phase…

Analysis of PDEs · Mathematics 2026-05-26 Luca Franzoi , Emeric Roulley

We consider a three-dimensional kinetic model for a two species plasma consisting of electrons and ions confined by an external nonconstant magnetic field. Then we derive a kinetic-fluid model when the mass ratio $m_e/m_i$ tends to zero.…

Analysis of PDEs · Mathematics 2026-01-08 Maxime Herda

The electro-diffusion model, which arises in electrohydrodynamics, is a coupling between the Nernst-Planck-Poisson system and the incompressible Navier-Stokes equations. For the generally smooth doping profile, the quasineutral limit…

Analysis of PDEs · Mathematics 2009-05-19 Fucai Li

This paper introduces a time-domain combined field integral equation for electromagnetic scattering by a perfect electric conductor. The new equation is obtained by leveraging the quasi-Helmholtz projectors, which separate both the unknown…

Numerical Analysis · Mathematics 2024-07-22 Van Chien Le , Pierrick Cordel , Francesco P. Andriulli , Kristof Cools
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