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Related papers: Exact Vlasov-Maxwell equilibria for asymmetric cur…

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We establish a new self-consistent system of equations accounting for a nonminimal coupling of the cooperative gravitational, electromagnetic and pseudoscalar (axion) fields in a multi-component relativistic plasma. The axionic extension of…

General Relativity and Quantum Cosmology · Physics 2013-12-02 Alexander B. Balakin , Ruslan K. Muharlyamov , Alexei E. Zayats

We consider the relativistic Vlasov-Maxwell system (RVM) on a general axisymmetric spatial domain with perfect conducting boundary which reflects particles specularly, assuming axisymmetry in the problem. We construct continuous global…

Analysis of PDEs · Mathematics 2023-11-14 Katherine Zhiyuan Zhang

Plasmas in Earth's outer magnetosphere, magnetosheath, and solar wind are essentially collisionless. This means particle distributions are not typically in thermodynamic equilibrium and deviate significantly from Maxwellian distributions.…

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…

Plasma Physics · Physics 2025-03-03 Sehyun Kwak , J. Svensson , O. Ford , L. Appel , Y. -c. Ghim , JET Contributors

The Vlasov-Maxwell-Boltzmann system is a fundamental model to describe the dynamics of dilute charged particles, where particles interact via collisions and through their self-consistent electromagnetic field. We prove the existence of…

Analysis of PDEs · Mathematics 2010-05-02 Robert M. Strain

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

We derive the conductivity tensor for axisymmetric perturbations of a hot, collisionless, and charge-neutral plasma in the shearing sheet approximation. Our results generalize the well-known linear Vlasov theory for uniform plasmas to…

High Energy Astrophysical Phenomena · Physics 2015-01-06 Tobias Heinemann , Eliot Quataert

A prediction of the steady-state reconnection electric field in asymmetric reconnection is obtained by maximizing the reconnection rate as a function of the opening angle made by the upstream magnetic field on the weak magnetic field…

Plasma Physics · Physics 2018-06-13 Yi-Hsin Liu , M. Hesse , P. A. Cassak , M. A. Shay , S. Wang , L. -J. Chen

Using fully kinetic 3D simulations, the reconnection dynamics of asymmetric current sheets are examined at the Earth's magnetopause. The plasma parameters are selected to model MMS magnetopause diffusion region crossings with guide fields…

Vlasov solvers that operate on a phase-space grid are highly accurate but also numerically demanding. Coarse velocity space resolutions, which are unproblematic in particle-in-cell (PIC) simulations, can lead to numerical heating or…

Plasma Physics · Physics 2022-04-06 Florian Allmann-Rahn , Simon Lautenbach , Rainer Grauer

Recent progress in understanding the physics of magnetic reconnection is conveniently summarized in terms of a phase diagram which organizes the essential dynamics for a wide variety of applications in heliophysics, laboratory and…

Instrumentation and Methods for Astrophysics · Physics 2015-05-30 Hantao Ji , William Daughton

Validity of fluid models breaks down for non-thermal or weakly collisional plasmas which often occur e.g. in the solar wind. In these regimes one has to resort to modelling through the first-principle Vlasov-Maxwell system, but its…

Plasma Physics · Physics 2025-12-01 Rostislav-Paul Wilhelm , Fabio Bacchini

A new scheme for numerical integration of the 1D2V relativistic Vlasov-Maxwell system is proposed. Assuming that all particles in a cell of the phase space move with the same velocity as that of the particle located at the center of the…

Plasma Physics · Physics 2010-02-18 Akihiro Suzuki , Toshikazu Shigeyama

The conditions for the existence of force-free non-relativistic translationally invariant one-dimensional (1D) Vlasov-Maxwell (VM) equilibria are investigated using general properties of the 1D VM equilibrium problem. As has been shown…

Plasma Physics · Physics 2009-02-25 Michael G. Harrison , Thomas Neukirch

Vlasov equilibria of axisymmetric plasmas with vacuum toroidal magnetic field can be reduced, up to a selection of ions and electrons distributions functions, to a Grad-Shafranov-like equation. Quasineutrality narrow the choice of the…

Plasma Physics · Physics 2015-06-18 H. Tasso , G. N. Throumoulopoulos

We study the free boundary problem for a plasma-vacuum interface in ideal incompressible magnetohydrodynamics. Unlike the classical statement when the vacuum magnetic field obeys the div-curl system of pre-Maxwell dynamics, to better…

Analysis of PDEs · Mathematics 2020-07-15 Alessandro Morando , Paolo Secchi , Yuri Trakhinin , Paola Trebeschi

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…

Plasma Physics · Physics 2014-03-03 H. Lin

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…

Mathematical Physics · Physics 2020-07-03 Jörg Weber

Magnetic reconnection in an antiparallel uniform Harris current sheet equilibrium, which is initially perturbed by a region of enhanced resistivity limited in all three dimensions, is investigated through compressible magnetohydrodynamic…

Astrophysics · Physics 2009-10-31 Joerg Schumacher , Bernhard Kliem , Norbert Seehafer

This article is devoted to the kinetic description in phase space of magnetically confined plasmas. It addresses the problem of stability near equilibria of the Relativistic Vlasov Maxwell system. We work under the Glassey-Strauss compactly…

Analysis of PDEs · Mathematics 2021-03-16 Christophe Cheverry , Slim Ibrahim , Dayton Preissl