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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. In this work, the setting is two and…

Mathematical Physics · Physics 2020-11-30 Jörg Weber

A Rashba nanowire is subjected to a magnetic field that assumes opposite signs in two sections of the nanowire, and, thus, creates a magnetic domain wall. The direction of magnetic field is chosen to be perpendicular to the Rashba…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Flavio Ronetti , Kirill Plekhanov , Daniel Loss , Jelena Klinovaja

We consider the Vlasov-Poisson-Landau system, a classical model for a dilute collisional plasma interacting through Coulombic collisions and with its self-consistent electrostatic field. We establish global stability and well-posedness near…

Analysis of PDEs · Mathematics 2022-01-19 Hongjie Dong , Yan Guo , Zhimeng Ouyang

Quasisymmetry is an unusual symmetry that can be present in toroidal magnetic fields, enabling confinement of charged particles and plasma. Here it is shown that both quasi-axisymmetry and quasi-helical symmetry can be achieved to a much…

Plasma Physics · Physics 2022-02-02 Matt Landreman , Elizabeth Paul

We discuss some recent development on the Vlasov-Poisson-Boltzmann system in bounded domains with diffuse reflection boundary condition. In addition we present a new regularity result when the particles are surrounded by conductor boundary.

Analysis of PDEs · Mathematics 2020-12-21 Yunbai Cao , Chanwoo Kim

The relativistic Vlasov-Maxwell system is a kinetic model for collisionless plasmas. For the two-dimensional model, global well-posedness of this model is known and was proven by deriving global bounds on the momentum support of the…

Analysis of PDEs · Mathematics 2024-11-28 Matthew Hernandez , Neel Patel , Elena Salguero

A method for the controlled generation of intense high frequency electromagnetic fields by a breaking Langmuir wave (relativistic flying mirrors) in a gradually inhomogeneous plasma is proposed. The wave breaking threshold depends on the…

1.5D Vlasov-Maxwell simulations are employed to model electromagnetic emission generation in a fully self-consistent plasma kinetic model for the first time in the solar physics context. The simulations mimic the plasma emission mechanism…

Solar and Stellar Astrophysics · Physics 2010-12-16 David Tsiklauri

The analytical method of solving the boundary problems for a system of equations describing the behaviour of electrons and an electric field in the Maxwell plasma half-space is developed. Here the diffusion reflection of electrons from the…

Mathematical Physics · Physics 2010-01-20 Yu. F. Alabina , A. V. Latyshev , A. A. Yushkanov

We carry out 3D and 2D PIC-simulations of the expansion of a magnetized plasma that initially uniformly fills a half-space and contains a semi-cylindrical region of heated electrons elongated along the surface of the plasma boundary. This…

Mesonic bound states of domain walls can be stabilized in quasi one-dimensional magnetic compounds. Here, we theoretically study the Raman light scattering response of a twisted Kitaev chain with tilted magnetic fields as a minimal model…

Strongly Correlated Electrons · Physics 2024-10-25 Stefan Birnkammer , Johannes Knolle , Michael Knap

We consider relativistic plasma particles subjected to an external gravitation force in a $3$D half space whose boundary is a perfect conductor. When the mean free path is much bigger than the variation of electromagnetic fields, the…

Analysis of PDEs · Mathematics 2022-03-04 Yunbai Cao , Chanwoo Kim

Cosmic sources of gamma-ray radiation in the GeV range are often characterized by violent variability, in particular this concerns blazars, gamma-ray bursts, and the pulsar wind nebula Crab. Such gamma-ray emission requires a very efficient…

High Energy Astrophysical Phenomena · Physics 2018-08-03 Krzysztof Nalewajko

We study the finite Larmor radius regime for the Vlasov-Poisson system. The magnetic field is assumed to be uniform. We investigate this non linear problem in the two dimensional setting. We derive the limit model by appealing to…

Analysis of PDEs · Mathematics 2015-11-03 Mihaï Bostan , Aurélie Finot , Maxime Hauray

This work deals with the Landau equation in a bounded domain with the Maxwell reflection condition on the boundary for any (possibly smoothly position dependent) accommodation coefficient and for the full range of interaction potentials,…

Analysis of PDEs · Mathematics 2024-07-15 Kleber Carrapatoso , Stéphane Mischler

In regions with strongly varying electron density, radio emission can be magnified significantly by plasma lensing. In the presence of magnetic fields, magnification in time and frequency will be different for two circular polarizations. We…

High Energy Astrophysical Phenomena · Physics 2019-02-13 Dongzi Li , Fang Xi Lin , Robert Main , Ue-Li Pen , Marten H. van Kerkwijk , I-Sheng Yang

Magnetic fusion aims to confine high-temperature plasma within a device, enabling the fusion of deuterium and tritium nuclei to release energy. Due to the very large temperatures involved, it is essential to isolate the plasma from the…

Numerical Analysis · Mathematics 2025-11-05 Giacomo Albi , Giacomo Dimarco , Federica Ferrarese , Lorenzo Pareschi

The linearized problem of plasma oscillations in layer (particularly, in thin films) in external longitudinal alternating electric field is solved analytically. Specular - accommodative boundary conditions of electron reflection from the…

Mathematical Physics · Physics 2011-04-12 A. V. Latyshev , A. A. Yushkanov

Relativistic flying mirrors in plasmas are realized as thin dense electron (or electron-ion) layers accelerated by high-intensity electromagnetic waves to velocities close to the speed of light in vacuum. The reflection of an…

Plasma Physics · Physics 2016-08-03 Sergei V. Bulanov , Timur Zh. Esirkepov , Masaki Kando , James K. Koga

An oblique pulsar magnetosphere with a plasma conductivity is studied by using a pseudo-spectral method. In the pseudo-spectral method, the time-dependent Maxwell equations are solved, both electric and magnetic fields are expanded in terms…

High Energy Astrophysical Phenomena · Physics 2016-07-27 Gang Cao , Li Zhang , Sineng Sun