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We present an analytical model of the self-consistent equilibrium of a magnetic flux rope which is obtained in cylindrical geometry. The equilibrium azimuthal magnetic field and plasma pressure are determined in a self-consistent way…

斑图形成与孤子 · 物理学 2024-02-19 Oleg K. Cheremnykh , Viktor Fedun , Volodymyr M. Lashkin

The self-similar equilibrium models of self-gravitating, rotating, isothermal systems are investigated analytically. In these models the rotation velocity is constant and the density varies as $\frac{f(\theta, \phi)}{r^2}$, where $r$ and…

天体物理学 · 物理学 2009-11-06 Mohsen Shadmehri , Jamshid Ghanbari

Magnetar magnetospheres gradually become twisted due to shearing by footpoint motion. The axisymmetric solutions for the force-free field with a power-law current model are calculated by taking into account general relativistic effects.…

高能天体物理现象 · 物理学 2017-04-19 Yasufumi Kojima

The equilibrium of a resistive axisymmetric plasma with purely toroidal flow surrounded by a conductor is investigated within the framework of the nonlinear magnetohydrodynamic theory. It is proved that a) the poloidal current density…

等离子体物理 · 物理学 2009-10-30 G. N. Throumoulopoulos

The singularities of an irrotational magnetic field are lines of electric current. This property derives from the relationship between vector fields and the topology of the underlying three-space and allows for a definition of {cosmic…

材料科学 · 物理学 2015-06-15 Maurice Kleman , Jonathan M. Robbins

We present, for the first time, the structure of the axisymmetric force-free magnetosphere of an aligned rotating magnetic dipole, in the case in which there exists a sufficiently large charge density (whose origin we do not question) to…

天体物理学 · 物理学 2011-07-18 Ioannis Contopoulos , Demosthenes Kazanas , Christian Fendt

We study stationary free boundary configurations of an ideal incompressible magnetohydrodynamic fluid possessing nested flux surfaces. In 2D simply connected domains, we prove that if the magnetic field and velocity field are never…

偏微分方程分析 · 数学 2022-06-22 Peter Constantin , Theodore D. Drivas , Daniel Ginsberg

The axisymmetric kinematic dynamo problem is reconsidered and a number of open questions are answered. Apart from axisymmetry and smoothness of data and solution we deal with this problem under quite general conditions, i.e. we assume a…

太阳与恒星天体物理 · 物理学 2019-09-30 Ralf Kaiser , Andreas Tilgner

We present a new model of magnetic reconnection in the presence of turbulence, applicable when the magnetic helicity is non-zero. The new model differs from the Lazarian-Vishniac turbulent reconnection theory by emphasizing the role of…

等离子体物理 · 物理学 2025-01-22 Alexander J. B. Russell

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…

经典物理 · 物理学 2023-01-02 Yurii A. Spirichev

The stationary axisymmetric force-free magnetosphere of a pulsar is studied analytically. The pulsar equation is solved in the region close to the magnetic axis. Proceeding from linearization of the current function in the axial region, we…

高能天体物理现象 · 物理学 2015-06-11 S. A. Petrova

We provide a valid magnetohydrostatic equilibrium from the collapse of a 2D X-point in the presence of a finite plasma pressure, in which the current density is not simply concentrated in an infinitesimally thin, one-dimensional current…

太阳与恒星天体物理 · 物理学 2013-09-13 Jorge Fuentes-Fernández , Clare E. Parnell , Alan W. Hood

A flux rope is a domain of concentration of the magnetic field $\textbf{B}$. Insofar as $\textbf{B}$ outside such a domain is considered as vanishingly small, a flux rope can be described as the core of a singularity of the outer vector…

太阳与恒星天体物理 · 物理学 2015-06-18 M Kleman

We use direct numerical simulations to study the evolution, or relaxation, of magnetic configurations to an equilibrium state. We use the full single-fluid equations of motion for a magnetized, non-resistive, but viscous fluid; and a…

天体物理学 · 物理学 2009-10-31 S. I. Vainshtein , Z. Mikić , R. Rosner , J. A. Linker

We investigate equilibrium height of the flux rope, and its internal equilibrium in a realistic plasma environment by carrying out numerical simulations of the evolution of systems including a current-carrying flux rope. We find that the…

太阳与恒星天体物理 · 物理学 2014-06-25 Hong-Juan Wang , Si-Qing Liu , Jian-Cun Gong , Jun Lin

We study self-similar analytical solutions for force-free magnetic field in azimuthal symmetry and arcade topology. We assume the existence of a poloidal magnetic field, anchored on a heavy spherical conductor. The field is changed by…

天体物理学 · 物理学 2009-11-13 K. N. Gourgouliatos

This work introduces a systematic method for identifying analytical and semi-analytical solutions of force-free magnetic fields with plane-parallel and axial symmetry. The method of separation of variables is used, allowing the…

高能天体物理现象 · 物理学 2025-01-28 Konstantinos N. Gourgouliatos

We examine the dynamics of magnetic flux tubes containing non-trivial field line braiding (or linkage), using mathematical and computational modelling, in the context of testable predictions for the laboratory and their significance for…

等离子体物理 · 物理学 2016-05-04 D. I. Pontin , S. Candelaresi , A. J. B. Russell , G. Hornig

Rotating magnetic structures are common in astrophysics, from vortex tubes and tornados in the Sun all the way to jets in different astrophysical systems. The physics of these objects often combine inertial, magnetic, gas pressure and…

太阳与恒星天体物理 · 物理学 2018-08-29 Manuel Luna , Eric Priest , Fernando Moreno-Insertis

A magnetar's magnetosphere gradually evolves by the injection of energy and helicity from the interior. Axisymmetric static solutions for a relativistic force-free magnetosphere with a power-law current model are numerically obtained. They…

高能天体物理现象 · 物理学 2018-02-07 Yasufumi Kojima , Satoki Okamoto
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