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This paper considers the current distributions that derive from finite amplitude perturbations of line-tied magnetic fields comprising hyperbolic field structures. The initial equilibrium on which we principally focus is a planar magnetic…

Solar and Stellar Astrophysics · Physics 2015-06-19 I. J. D. Craig , D. I. Pontin

We investigate magnetic-energy dissipation, current-sheet dynamics, and nonthermal particle acceleration in three-dimensional relativistic reconnection in an electron--ion plasma with a realistic mass ratio. Using particle-in-cell…

High Energy Astrophysical Phenomena · Physics 2026-05-21 Pranab J Deka , Fabio Bacchini , Muni Zhou , Camille Granier

We use a numerical nonlinear multigrid magnetic relaxation technique to investigate the generation of current sheets in three-dimensional magnetic flux braiding experiments. We are able to catalogue the relaxed nonlinear force-free…

Astrophysics · Physics 2009-10-31 A. W. Longbottom , G. J. Rickard , I. J. D. Craig , A. D. Sneyd

We study the linear and nonlinear evolution of the tearing instability on thin current sheets by means of two-dimensional numerical simulations, within the framework of compressible, resistive magnetohydrodynamics. In particular we analyze…

Solar and Stellar Astrophysics · Physics 2015-04-28 Simone Landi , Luca Del Zanna , Emanuele Papini , Fulvia Pucci , Marco Velli

We report here, for the first time, an observed instability of a Kelvin-Helmholtz (KH) nature occurring in a fully three-dimensional (3D) current-vortex sheet at the fan plane of a 3D magnetic null point. The current-vortex layer forms…

Solar and Stellar Astrophysics · Physics 2013-04-09 P. F. Wyper , D. I. Pontin

Current models of magnetars require extremely strong magnetic fields to explain their observed quiescent and bursting emission, implying that the field strength within the star's outer crust is orders of magnitude larger than the dipole…

Solar and Stellar Astrophysics · Physics 2016-04-07 Konstantinos N. Gourgouliatos , Toby Wood , Rainer Hollerbach

We present high resolution 2D and 3D simulations of magnetized decaying turbulence in relativistic resistive magneto-hydrodynamics. The simulations show dynamic formation of large scale intermittent long-lived current sheets being disrupted…

High Energy Astrophysical Phenomena · Physics 2021-12-22 Alexander Chernoglazov , Bart Ripperda , Alexander A. Philippov

Sweet-Parker current sheets in high Lundquist number plasmas are unstable to tearing, suggesting they will not form in physical systems. Understanding magnetic reconnection thus requires study of the stability of a current sheet as it…

Plasma Physics · Physics 2018-03-02 Elizabeth A. Tolman , Nuno F. Loureiro , Dmitri A. Uzdensky

Force-free current sheets are local plasma structures with field-aligned electric currents and approximately uniform plasma pressures. Such structures, widely found throughout the heliosphere, are sites for plasma instabilities and magnetic…

Plasma Physics · Physics 2023-07-20 Xin An , Anton Artemyev , Vassilis Angelopoulos , Andrei Runov , Sergey Kamaletdinov

The evolution of current sheets in accretion flows undergoing magnetorotational instability (MRI) is examined through two and three dimensional numerical modelling of the resistive MHD equations in global cylindrical geometry. With an…

High Energy Astrophysical Phenomena · Physics 2021-10-15 Jarrett Rosenberg , Fatima Ebrahimi

Regardless of how small non-ideal effects may be, phenomena associated with changes in magnetic field line connections are frequently observed to occur on an Alfv\'enic time scale. Since it is mathematically impossible for magnetic field…

Plasma Physics · Physics 2019-05-01 Allen H. Boozer

The magnetohydrodynamic current-vortex sheet is a free boundary problem involving a moving free surface separating two plasma regions. We prove the global nonlinear stability of current-vortex sheet in the two dimensional ideal…

Analysis of PDEs · Mathematics 2024-10-29 Yuan Cai , Zhen Lei

Electron and proton acceleration in three-dimensional electric and magnetic fields is studied through test particle simulations. The fields are obtained by a three-dimensional magnetohydrodynamic simulation of magnetic reconnection in slab…

Astrophysics · Physics 2008-11-26 Marco Onofri , Heinz Isliker , Loukas Vlahos

In this paper, the temporal evolution of 3-dimensional relativistic current sheets in Poynting-dominated plasma is studied for the first time. Over the past few decades, a lot of efforts have been conducted on studying the evolution of…

High Energy Astrophysical Phenomena · Physics 2018-03-14 Makoto Takamoto

Compressible vortex sheets are fundamental waves in entropy solutions to the multidimensional hyperbolic systems of conservation laws. For the Euler equations in 2-D gas dynamics, the classical linearized stability analysis on compressible…

Analysis of PDEs · Mathematics 2007-05-23 Gui-Qiang Chen , Ya-Guang Wang

We examine the effect of an external guide field and current sheet thickness on the growth rates and nature of three dimensional unstable modes of an electron current sheet driven by electron shear flow. The growth rate of the fastest…

Plasma Physics · Physics 2016-01-20 Neeraj Jain , Jörg Büchner

Solar flares can release coronal magnetic energy explosively and may impact the safety of near-earth space environments. Their structures and properties on macroscale have been interpreted successfully by the generally-accepted…

Solar and Stellar Astrophysics · Physics 2023-09-11 Yulei Wang , Xin Cheng , Mingde Ding , Zhaoyuan Liu , Jian Liu , Xiaojue Zhu

We use the results of a three-dimensional kinetic simulation of an Harris current sheet to propose an explanation and to reproduce the ISEE-1/2, Geotail, and Cluster observations of the magnetotail current sheet structure. Current sheet…

Plasma Physics · Physics 2015-06-26 Paolo Ricci , Giovanni Lapenta , J. U. Brackbill

This work conducts a three-dimensional (3D), nonlinear magnetohydrodynamic (MHD) simulation to investigate wave generating, time-dependent reconnection around a magnetic null point. A non-periodic perturbation (in the $xz$-plane) triggers…

Solar and Stellar Astrophysics · Physics 2026-01-30 Luiz A. C. A. Schiavo , Gert J. J. Botha , James A. McLaughlin

We present a new algorithm for the identification and physical characterization of current sheets and reconnection sites in 2D and 3D large scale relativisticmagnetohydrodynamic numerical simulations. This has been implemented in the PLUTO…

High Energy Astrophysical Phenomena · Physics 2023-05-29 Matteo Nurisso , Annalisa Celotti , Andrea Mignone , Gianluigi Bodo