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A dynamic mitigation mechanism of the two-stream instability is discussed based on a phase control for plasma and fluid instabilities. The basic idea for the dynamic mitigation mechanism by the phase control was proposed in the paper [Phys.…

Plasma Physics · Physics 2020-09-08 S. Kawata , Y. J. Gu

We obtain analytic solutions of a generalised Grad-Shafranov equation describing steady states with incompressible plasma flow of arbitrary direction, toroidal current reversal and either nested or non-nested magnetic surfaces. It turns out…

Plasma Physics · Physics 2017-04-18 A. Kuiroukidis , G. N. Throumoulopoulos

In this work, we present a linear stability analysis of fully-ionized rotating plasma disks with a temperature gradient and a sub-thermal background magnetic field (oriented towards the axial direction). We describe how the plasma reacts…

Solar and Stellar Astrophysics · Physics 2015-06-18 Alessio Franco , Giovanni Montani , Nakia Carlevaro

The energy production through thermo-nuclear fusion requires the confinement of the plasma into a bounded domain. In most of the cases, such configurations are obtained by using strong magnetic fields. Several models exist for describing…

Analysis of PDEs · Mathematics 2012-07-11 Mihai Bostan

We consider a 1 1/2degrees of freedom Hamiltonian dynamical system, which models the chaotic dynamics of charged test-particles in a turbulent electric field, across the confining magnetic field in controlled thermonuclear fusion devices.…

Mathematical Physics · Physics 2009-11-13 Natalia Tronko , Michel Vittot , Cristel Chandre , Philippe Ghendrih , Guido Ciraolo

We develop a theory of buoyancy instabilities of the electron-ion plasma with the heat flux based on not the MHD equations, but using the multicomponent plasma approach. We investigate a geometry in which the background magnetic field,…

Astrophysics of Galaxies · Physics 2010-03-02 Anatoly K. Nekrasov , Mohsen Shadmehri

The possibility of the existence of quasi-stationary electromagnetic fields in plasma supported by their own self-consistent current follows from Maxwell's equations with field sources. These equations also give rise to a wave equation for…

Classical Physics · Physics 2023-01-02 Yurii A. Spirichev

Stabilizing plasma dynamics is a central challenge in magnetic confinement fusion. A common approach is to introduce external electric fields to suppress instabilities in the plasma distribution. However, efficiently identifying such…

Numerical Analysis · Mathematics 2026-04-15 Martin Guerra , Qin Li , Yukun Yue , Leonardo Zepeda-Núñez

The dynamics of the oscillator system is investigated. The conditions under which this dynamics becomes unstable are determined. In particular, it is shown that plasma in constant magnetic field becomes unstable if its density exceeds a…

Plasma Physics · Physics 2019-04-23 Vyacheslav Buts

A fundamental problem of forced magnetic reconnection has been solved taking into account the plasmoid instability of thin reconnecting current sheets. In this problem, the reconnection is driven by a small amplitude boundary perturbation…

Plasma Physics · Physics 2015-04-22 Luca Comisso , Daniela Grasso , François L. Waelbroeck

Motivated by the particle acceleration problem in pulsars, we numerically investigate electrostatic instability of electron-positron pairs injected in an external electric field. The electric field is expected to be so strong that we cannot…

Astrophysics · Physics 2009-11-10 Katsuaki Asano , Fumio Takahara

The effect of magnetic shear and shear flow on local gravitationally induced instabilities is investigated. A simple model is constructed allowing for an arbitrary entropy gradient and a shear plasma flow in the Boussinesq approximation. A…

Astrophysics · Physics 2009-11-06 Gregory G. Howes , Steven C. Cowley , James C. McWilliams

It is shown that the transport in low temperature, collisional, bounded plasma is enhanced by instabilities at high magnetic field. While the magnetic field confines the electrons in a stable plasma, the instability completely destroys the…

Plasma Physics · Physics 2019-09-04 R. Lucken , A. Bourdon , M. Lieberman , P. Chabert

Fusion energy offers the potential for the generation of clean, safe, and nearly inexhaustible energy. While notable progress has been made in recent years, significant challenges persist in achieving net energy gain. Improving plasma…

Numerical Analysis · Mathematics 2023-05-30 Lukas Einkemmer , Qin Li , Li Wang , Yunan Yang

In this work, we are interested in the controllability of Vlasov-Poisson systems in the presence of an external force field (namely a bounded force field or a magnetic field), by means of a local interior control. We are able to extend the…

Analysis of PDEs · Mathematics 2012-06-08 Olivier Glass , Daniel Han-Kwan

As an application of the solution of the equations of electromagnetic self-consistency in a plasma, found in a previous paper, the study of controlled thermo-nuclear fusion is undertaken. This study utilizes the resonance which can be…

Plasma Physics · Physics 2007-05-23 Evangelos Chaliasos

The electrostatic stability of electron-positron plasmas is investigated in the point-dipole and Z-pinch limits of dipole geometry. The kinetic dispersion relation for sub-bounce-frequency instabilities is derived and solved. For the…

Plasma Physics · Physics 2018-04-04 Alexey Mishchenko , Gabriel Plunk , Per Helander

We analyze the linear stability of a dilute, hot plasma, taking into account the effects of stratification and anisotropic thermal conduction. The work is motivated by attempts to understand the dynamics of the intracluster medium in galaxy…

High Energy Astrophysical Phenomena · Physics 2010-08-04 Steven A. Balbus , Christopher S. Reynolds

The goal of this paper is the identification of the physical processes at the origin of the nonlinear behavior of a plasma conductor when an external constraint gradually departs the system from thermal equilibrium. This reveals the…

Pattern Formation and Solitons · Physics 2007-08-31 E. Lozneanu , S. Popescu , M. Sanduloviciu

The subject matter of this paper concerns the magnetic confinement of plasma. We investigate the long time behavior of the Vlasov-Maxwell-Fokker-Planck system under the effect of a strong external magnetic field. We first formally derive an…

Analysis of PDEs · Mathematics 2025-08-19 Anh-Tuan Vu