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Reconnection physics at micro-scales is investigated in an electron magnetohydrodynamics frame. A new process of collapse of the neutral current sheet is demonstrated by means of analytical and numerical solutions. It shows how at scales…

Plasma Physics · Physics 2017-12-01 I F Shaikhislamov

We study the role of the Hall current and electron inertia in collisionless magnetic reconnection within the framework of full two-fluid MHD. At spatial scales smaller than the electron inertial length, a topological change of magnetic…

Plasma Physics · Physics 2016-03-23 Nahuel Andrés , Pablo Dmitruk , Daniel Gómez

The electron inertia term and the off-diagonal electron pressure terms are well-known for the frozen-in condition breakdown in collisionless magnetic reconnection, which are naturally kinetic and difficult to be employed in…

Plasma Physics · Physics 2025-06-12 H. W. Zhang , Z. W. Ma , T. Chen

Detailed comparisons are reported between laboratory observations of electron-scale dissipation layers near a reconnecting X-line and direct two-dimensional full-particle simulations. Many experimental features of the electron layers, such…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 H. Ji , Y. Ren , M. Yamada , S. Dorfman , W. Daughton , S. P. Gerhardt

We present a study of collisionless magnetic reconnection within the framework of full two-fluid MHD for a completely ionized hydrogen plasma, retaining the effects of the Hall current, electron pressure and electron inertia. We performed…

Plasma Physics · Physics 2015-06-18 N. Andrés , L. Martin , P. Dmitruk , D. Gómez

Electron magnetohydrodynamic (EMHD) turbulence in two dimensions is studied via high-resolution numerical simulations with a normal diffusivity. The resulting energy spectra asymptotically approach a $k^{-5/2}$ law with increasing $R_B$,…

Plasma Physics · Physics 2009-05-01 C. J. Wareing , R. Hollerbach

Magnetic field fluctuations in MHD turbulence can be viewed as current sheets that are progressively more anisotropic at smaller scales. As suggested by Loureiro & Boldyrev (2017) and Mallet et al (2017), below a certain critical thickness…

Plasma Physics · Physics 2017-08-09 Stanislav Boldyrev , Nuno F. Loureiro

In previous simulations of collisionless 2D magnetic reconnection it was consistently found that the term in the generalised Ohm's law that breaks the frozen-in condition is the divergence of the electron pressure tensor's non-gyrotropic…

Solar and Stellar Astrophysics · Physics 2016-11-02 Jan Graf von der Pahlen , David Tsiklauri

The evolution of non-potential perturbations to a current-free magnetic X-point configuration is studied, taking into account electron inertial effects as well as resistivity. Electron inertia is shown to have a negligible effect on the…

Astrophysics · Physics 2009-11-10 K. G. McClements , A. Thyagaraja , N. Ben Ayed , L. Fletcher

Three dimensional electron-magnetohydrodynamic (EMHD) simulations of electron current sheet dynamics in a background of stationary and unmagnetized ions and the subsequent generation of electromagnetic fluctuations are carried out. The…

The current understanding of MHD turbulence envisions turbulent eddies which are anisotropic in all three directions. In the plane perpendicular to the local mean magnetic field, this implies that such eddies become current-sheet-like…

Plasma Physics · Physics 2017-06-21 N. F. Loureiro , S. Boldyrev

We develop a theory of magnetoresistance of two-dimensional electron systems in a smooth disorder potential in the hydrodynamic regime. Our theory applies to two-dimensional semiconductor structures with strongly correlated carriers when…

Mesoscale and Nanoscale Physics · Physics 2017-03-22 Alex Levchenko , Hong-Yi Xie , A. V. Andreev

The debate surrounding fast magnetic energy dissipation by magnetic reconnection has remained a fundamental topic in the plasma universe, not only in the Earth's magnetosphere but in astrophysical objects such as pulsar magnetospheres and…

High Energy Astrophysical Phenomena · Physics 2021-06-22 Masahiro Hoshino

High-energy astrophysical systems and compact objects are frequently modeled using ideal relativistic magnetohydrodynamic (MHD) or force-free electrodynamic (FFE) simulations, with the underlying assumption that the discretisation from the…

High Energy Astrophysical Phenomena · Physics 2025-09-25 Michael P. Grehan , Tanisha Ghosal , James R. Beattie , Bart Ripperda , Oliver Porth , Fabio Bacchini

Nonlinear evolution of magnetic reconnection is investigated by means of magnetohydrodynamic simulations including uniform resistivity, uniform viscosity, and anisotropic thermal conduction. When viscosity exceeds resistivity (the magnetic…

Space Physics · Physics 2016-07-27 Takashi Minoshima , Takahiro Miyoshi , Shinsuke Imada

Decaying electron magnetohydrodynamic (EMHD) turbulence in three dimensions is studied via high-resolution numerical simulations. The resulting energy spectra asymptotically approach a k^{-2} law with increasing R_B, the ratio of the…

Plasma Physics · Physics 2015-05-13 C. J. Wareing , R. Hollerbach

Recent experiments have elucidated that novel nonequilibrium states inherent in the so-called hydrodynamic regime are realized in ultrapure metals with sufficiently strong momentum-conserving scattering. In this letter, we formulate a…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 Ryotaro Sano , Riki Toshio , Norio Kawakami

A version of extended magnetohydrodynamics (MHD) that incorporates electron inertia is obtained by constructing an action principle. Unlike MHD which freezes in magnetic flux, the present theory freezes in an alternative flux related to the…

Plasma Physics · Physics 2015-04-01 M. Lingam , P. J. Morrison , E. Tassi

This paper discusses the transition to fast growth of the tearing instability in thin current sheets in the collisionless limit where electron inertia drives the reconnection process. It has been previously suggested that in resistive MHD…

Plasma Physics · Physics 2016-05-25 Daniele Del Sarto , Fulvia Pucci , Anna Tenerani , Marco Velli

Magnetohydrodynamic (MHD) theory and simulations have shown that reconnection is triggered via a fast "ideal" tearing instability in current sheets whose inverse aspect ratio decreases to $a/L\sim S^{-1/3}$, with $S$ is the Lundquist number…

Solar and Stellar Astrophysics · Physics 2019-10-09 Chen Shi , Anna Tenerani , Marco Velli , San Lu
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