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The non-linear Hall term present in the induction equation in the electron-magneto-hydrodynamics limit is responsible for the Hall drift of the magnetic field and, in some cases, for the so-called Hall instability. We investigate whether or…

Solar and Stellar Astrophysics · Physics 2012-03-28 Jose A. Pons , Ulrich Geppert

It is well established that the magnetically structured solar atmosphere supports the propagation of MHD waves along various kind of jets including also the solar wind. It is well-known as well that under some conditions, namely high enough…

Solar and Stellar Astrophysics · Physics 2020-03-11 I. Zhelyazkov , Z. Dimitrov , M. Bogdanova

Non-axisymmetric, flow-driven instabilities in the incompressible Hall-MHD model are studied in a differentially rotating cylindrical plasma. It is found that in the Hall-MHD regime, both whistler waves and ion-cyclotron waves can extract…

Plasma Physics · Physics 2026-04-16 Alexandre Sainterme , Fatima Ebrahimi

Magnetized turbulence is ubiquitous in many astrophysical and terrestrial plasmas but no universal theory exists. Even the detailed energy dynamics in magnetohydrodynamic (MHD) turbulence are still not well understood. We present a suite of…

Astrophysics of Galaxies · Physics 2023-02-06 Philipp Grete , Brian W. O'Shea , Kris Beckwith

The Kelvin-Helmholtz (KH) instability occurring in a single shear flow configuration that is embedded in a uniform flow-aligned magnetic field, is revisited by means of high resolution two-dimensional (2D) magnetohydrodynamic (MHD)…

Astrophysics · Physics 2009-11-10 H. Baty , R. Keppens , P. Comte

The understanding of the halo current properties during disruptions is key to design and operate large scale tokamaks in view of the large thermal and electromagnetic loads that they entail. For the first time, we present a fully…

\large{\bf Abstract-} Unsteady Hall Magnetohydrodynamics (MHD) near a hyperbolic magnetic neutral line is investigated. An exact analytical solution describing a self-similar evolution is given. This solution shows a negligible impact on…

Plasma Physics · Physics 2008-08-29 Bhimsen K. Shivamoggi

We study a resistive tearing instability developing in a system evolving through the combined effect of Hall drift in the Electron-MHD limit and Ohmic dissipation. We explore first the exponential growth of the instability in the linear…

High Energy Astrophysical Phenomena · Physics 2016-09-19 Konstantinos N. Gourgouliatos , Rainer Hollerbach

From a direct numerical simulation of the MHD equations we show, for the first time, that velocity and magnetic-field structure functions exhibit multiscaling, extended self similarity (ESS), and generalized extended self similarity (GESS).…

chao-dyn · Physics 2009-10-30 Abhik Basu , Anirban Sain , Sujan K. Dhar , Rahul Pandit

In this work we numerically test a model of Hall magnetohydrodynamics in the presence of a strong mean magnetic field, the reduced Hall MHD model (RHMHD) derived by Gomez et al., with the addition of weak compressible effects. The main…

Plasma Physics · Physics 2012-02-28 L. N. Martin , P. Dmitruk , D. O. Gomez

The plasmoid instability in evolving current sheets has been widely studied due to its effects on the disruption of current sheets, the formation of plasmoids, and the resultant fast magnetic reconnection. In this Letter, we study the role…

Plasma Physics · Physics 2018-10-24 Chuanfei Dong , Liang Wang , Yi-Min Huang , Luca Comisso , Amitava Bhattacharjee

We develop structure-preserving finite element methods for the incompressible, resistive Hall magnetohydrodynamics (MHD) equations. These equations incorporate the Hall current term in Ohm's law and provide a more appropriate description of…

Numerical Analysis · Mathematics 2022-02-24 Fabian Laakmann , Patrick E. Farrell , Kaibo Hu

Magnetic reconnection in laboratory, space and astrophysical plasmas is often invoked to explain explosive energy release and particle acceleration. However, the timescales involved in classical models within the macroscopic MHD regime are…

Plasma Physics · Physics 2016-12-21 S. Landi , E. Papini , L. Del Zanna , A. Tenerani , F. Pucci

Nonlinear and low-frequency solitary waves are investigated in the framework of the one-dimensional Hall-magnetohydrodynamic model with finite Larmor effects and a double adiabatic model for plasma pressures. The organization of these…

Plasma Physics · Physics 2019-02-13 E. Bello-Benítez , G. Sánchez-Arriaga , T. Passot , D. Laveder , E. Siminos

Hydrodynamic and viscous effects in electronic liquids are at the focus of much current research. Most intriguing is perhaps the non-dissipative Hall viscosity, which, due to its symmetry-protected topological nature, can help identify…

Strongly Correlated Electrons · Physics 2018-12-04 Roie Cohen , Moshe Goldstein

It is well established now that the solar atmosphere, from photosphere to the corona and the solar wind is a highly structured medium. Satellite observations have confirmed the presence of steady flows. Here, we investigate the parallel…

Solar and Stellar Astrophysics · Physics 2015-05-13 I. Zhelyazkov

In this work, we generalise linear magnetohydrodynamic (MHD) stability theory to include equilibrium pressure anisotropy in the fluid part of the analysis. A novel 'single-adiabatic' (SA) fluid closure is presented which is complementary to…

Plasma Physics · Physics 2015-10-29 M. Fitzgerald , M. J. Hole , Z. S. Qu

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

Compressible magnetohydrodynamic (MHD) turbulence is ubiquitous in astrophysical phenomena ranging from the intergalactic to the stellar scales. In studying them, numerical simulations are nearly inescapable, due to the large degree of…

Fluid Dynamics · Physics 2016-07-27 Dimitar G Vlaykov , Philipp Grete , Wolfram Schmidt , Dominik R G Schleicher

We investigate the stability of the Hall-MHD system and determine its importance for neutron stars at their birth, when they still consist of differentially rotating plasma permeated by extremely strong magnetic fields. We solve the…

Solar and Stellar Astrophysics · Physics 2015-06-04 T. Kondic , G. Ruediger , R. Arlt