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The diffusions and anomalous diffusions of charged particles in the plateau regime of toroidal plasma with a Maxwellian velocity distribution are studied. The transport theory of plasma is discussed under the toroidal coordinate system and…

Plasma Physics · Physics 2021-12-28 Wang Hong , Du Jiulin

Collisionless tearing instability with a power-law distribution function in a relativistic pair plasma with a guide field is studied. When the current sheet is supported by plasma pressure, the tearing mode is suppressed as the particle…

High Energy Astrophysical Phenomena · Physics 2025-09-25 Ivan Demidov , Yuri Lyubarsky

A procedure that allows study of unstable stability of a boundary layer between plasma and a magnetic field has been developed. Layer equilibrium for one reason or another is not set but follows from strict solution of kinetic equation with…

Plasma Physics · Physics 2010-05-25 V. V. Lyahov , V. M. Neshchadim

Context. Magnetized plasmas characterized by shearing flows are present in many natural contexts, such as the Earth's magnetopause and the solar wind. The collisionless nature of involved plasmas requires a kinetic description. When the…

Plasma Physics · Physics 2021-01-27 Giovanni Guzzi , Adriana Settino , Francesco Valentini , Francesco Malara

This paper contributes in the first part to the correct understanding of the linear limit in the Schamel equation (S-equation) from the perspective of structure formation in collisionless plasmas. The corresponding modes near equilibrium…

Plasma Physics · Physics 2024-11-19 Hans Schamel , Efim Pelinovsky , Marcelo V Flamarion

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…

Plasma Physics · Physics 2018-06-06 F. Malara , O. Pezzi , F. Valentini

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…

Astrophysics · Physics 2009-11-13 J Petri , J G Kirk

We present results of a 2D3V kinetic Vlasov simulation of the Weibel instability. The kinetic Vlasov simulation allows us to investigate the velocity distribution of dilute plasmas, in which the effect of collisions between particles is…

High Energy Astrophysical Phenomena · Physics 2011-02-11 Akihiro Suzuki , Toshikazu Shigeyama

We develop an effective field theory approach to inspect the electromagnetic interactions in an electrically neutral plasma, with an equal number of negative and positive charge carriers. We argue that the static equilibrium configurations…

Plasma Physics · Physics 2009-11-06 Ludvig Faddeev , Antti J. Niemi

A new class of exact electrostatic solutions of the Vlasov-Maxwell equations based on the Jeans's theorem is proposed for studying the evolution and properties of two-dimensional anisotropic plasmas that are far from thermodynamic…

Plasma Physics · Physics 2017-09-06 A. R. Karimov , M. Y. Yu , L. Stenflo

We consider the 1/2-dimensional relativistic Vlasov-Maxwell system that describes the time-evolution of a plasma. We find a relatively simple criterion for spectral instability of a wide class of equilibria. This class includes…

Analysis of PDEs · Mathematics 2015-05-28 Jonathan Ben-Artzi

The possible occurrence of equilibrium off-equatorial tori in the gravitational and electromagnetic fields of astrophysical compact objects has been recently proved based on non-ideal MHD theory. These stationary structures can represent…

High Energy Astrophysical Phenomena · Physics 2015-06-17 Claudio Cremaschini , Jiří Kovář , Petr Slaný , Zdeněk Stuchlík , Vladimír Karas

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…

Plasma Physics · Physics 2024-06-06 D. A. Kaltsas , A. Kuiroukidis , P. J. Morrison , G. N. Throumoulopoulos

The time evolution of a two-component collisionless plasma is modeled by the Vlasov-Poisson system. In this work, the setting is two and one-half dimensional, that is, the distribution functions of the particles species are independent of…

Mathematical Physics · Physics 2021-12-01 Patrik Knopf , Jörg Weber

The stability of a collisionless, magnetised plasma to local convective disturbances is examined, with a focus on kinetic and finite-Larmor-radius effects. Specific application is made to the outskirts of galaxy clusters, which contain hot…

High Energy Astrophysical Phenomena · Physics 2017-01-04 Rui Xu , Matthew W. Kunz

In this article, we study a collisionless kinetic model for plasmas in the neighborhood of a cylindrical metallic Langmuir probe. This model consists in a bi-species Vlasov-Poisson equation in a domain contained between two cylinders with…

Analysis of PDEs · Mathematics 2022-02-11 Mehdi Badsi , Ludovic Godard-Cadillac

Full self-consistent stationary Vlasov-Maxwell solutions of magnetically confined plasmas are built for systems with cylindrical symmetries. The stationary solutions are thermodynamic equilibrium solutions. These are obtained by computing…

Plasma Physics · Physics 2023-01-04 Aurélien Cordonnier , Xavier Leoncini , Guilhem Dif-Pradalier , Xavier Garbet

We calculate exact one-dimensional collisionless plasma equilibria for a continuum of flux tube models, for which the total magnetic field is made up of the `force-free' Gold-Hoyle magnetic flux tube embedded in a uniform and anti-parallel…

Plasma Physics · Physics 2016-09-21 O. Allanson , F. Wilson , T. Neukirch

The time evolution of a collisionless plasma is modeled by the Vlasov-Maxwell system which couples the Vlasov equation (the transport equation) with the Maxwell equations of electrodynamics. We only consider a 'two-dimensional' version of…

Optimization and Control · Mathematics 2021-03-02 Jörg Weber

Motivated by the stellar wind ejected from the upper atmosphere (Corona) of a star, we explore a boundary problem of the two-species nonlinear relativistic Vlasov-Poisson systems in the 3D half space in the presence of a constant vertical…

Analysis of PDEs · Mathematics 2024-09-04 Jiaxin Jin , Chanwoo Kim