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Related papers: A model of Hall reconnection

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Magnetic field-lines in astrophysical plasmas are expected to be frozen-in at scales larger than the ion gyroradius. The rapid reconnection of magnetic flux structures with dimensions vastly larger than the gyroradius requires a breakdown…

Astrophysics of Galaxies · Physics 2015-05-27 Gregory L. Eyink , Alex Lazarian , Ethan T. Vishniac

We present Direct Numerical Simulations of decaying Magnetohydrodynamic (MHD) turbulence at low magnetic Reynolds number. The domain considered is bounded by periodic boundary conditions in the two directions perpendicular to the magnetic…

Fluid Dynamics · Physics 2015-03-19 Kacper Kornet , Alban Potherat

In three-dimensional magnetic configurations for a plasma in which no closed field line or magnetic null exists, no magnetic reconnection can occur, by the strictest definition of reconnection. A finitely long pinch with line-tied boundary…

Plasma Physics · Physics 2015-05-27 A. S. Richardson , J. M. Finn

Magnetic reconnection in partially ionized plasmas plays a crucial role in a wide range of solar, astrophysical, and laboratory environments. While reconnection in such plasmas is commonly characterized by the ion-neutral coupling strength…

Plasma Physics · Physics 2026-03-02 Liang Wang , Chuanfei Dong , Yi-Min Huang , Yue Yuan , Xinmin Li , Yang Zhang

We consider the three-dimensional incompressible MHD system. Any weak solution satisfying a strong energy inequality is $L^2$-asymptotically stable around a Landau solution. Under an additional integrability assumption on the initial…

Analysis of PDEs · Mathematics 2026-04-20 Nicola De Nitti , Yun Wang , Shaoheng Zhang

In this paper, we investigate double Beltrami states in the Hall magnetohydrodynamic (Hall MHD) equations. Initially, we examine the double Beltrami states as a special class of steady solutions to the ideal Hall MHD equations, which are…

Analysis of PDEs · Mathematics 2025-04-11 Hantaek Bae , Kyungkeun Kang , Jaeyong Shin

Based on existing theoretical model and by considering our longitudinal nonlinear response function, we derive a nonliear equation in which the mixed state Hall resistivity can be expressed as an analytical function of magnetic field,…

Superconductivity · Physics 2009-11-07 H. Y. Xu , Z. Qi , W. Wang , D. L. Yin , F. R. Wang , C. Y. Li

\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

A new measure to identify a small-scale dissipation region in collisionless magnetic reconnection is proposed. The energy transfer from the electromagnetic field to plasmas in the electron's rest frame is formulated as a Lorentz-invariant…

Solar and Stellar Astrophysics · Physics 2011-05-12 Seiji Zenitani , Michael Hesse , Alex Klimas , Masha Kuznetsova

Scale interactions in Hall MHD are studied using both the mean field theory derivation of transport coefficients, and direct numerical simulations in three space dimensions. In the magnetically dominated regime, the eddy resistivity is…

Plasma Physics · Physics 2009-11-11 P. D. Mininni , A. Alexakis , A. Pouquet

Magnetic reconnection occurring in collisionless environments is a multi-scale process involving both ion and electron kinetic processes. Because of their small mass, the electron scales are difficult to resolve in numerical and satellite…

We construct a relativistic resistive magneto-hydrodynamic (RRMHD) numerical simulation code for high-energy heavy-ion collisions. We split the system of differential equations into two parts, a non-stiff and a stiff part. For the non-stiff…

Nuclear Theory · Physics 2023-04-05 Kouki Nakamura , Takahiro Miyoshi , Chiho Nonaka , Hiroyuki R. Takahashi

The role of MHD turbulence in the cosmic ray acceleration process in a volume with a reconnecting magnetic field is studied by means of Monte Carlo simulations. We performed modelling of proton acceleration with the 3D analytic model of…

Astrophysics · Physics 2009-10-31 Tomasz Kobak , Michal Ostrowski

One of the main questions in magnetic reconnection is the origin of triggering behavior with on/off properties that accounts, once it is activated, for the fast magnetic energy conversion to kinetic and thermal energies at the heart of…

Solar and Stellar Astrophysics · Physics 2018-01-22 Fulvia Pucci , Marco Velli , Anna Tenerani

Due to the singular nonlinear Hall term, the non-resistive electron magnetohydrodynamics (MHD) is not known to be locally well-posed in general. In this paper we consider the $2\frac12$D electron MHD with either horizontal or vertical…

Analysis of PDEs · Mathematics 2025-03-25 Mimi Dai , Hassan Babaei

We propose that magnetic reconnection at the heliopause only occurs where the interstellar magnetic field points nearly anti-parallel to the heliospheric field. By using large-scale magnetohydrodynamic (MHD) simulations of the heliosphere…

Earth and Planetary Astrophysics · Physics 2015-05-14 M. Swisdak , M. Opher , J. F. Drake , F. Alouani Bibi

Magnetic reconnection is a leading mechanism for magnetic energy conversion and high-energy non-thermal particle production in a variety of high-energy astrophysical objects, including ones with relativistic ion-electron plasmas (e.g.,…

High Energy Astrophysical Phenomena · Physics 2014-11-05 Mickaël Melzani , Rolf Walder , Doris Folini , Christophe Winisdoerffer , Jean M. Favre

Context. Global MHD simulations show Kelvin-Helmholtz (KH) instabilities at the contact surface of two merging neutron stars. That region has been identified as the site of efficient amplification of magnetic fields. However, these global…

Solar and Stellar Astrophysics · Physics 2015-05-18 M. Obergaulinger , M. A. Aloy , E. Müller

Three-dimensional (3D) magnetohydrodynamic simulations are carried out to explore magnetic reconnections in the presence of 3D magnetic nulls and quasi-separatrix layers (QSLs). The initial magnetic fields are created by superposing uniform…

Solar and Stellar Astrophysics · Physics 2021-02-10 Sanjay Kumar , Sushree S. Nayak , Avijeet Prasad , Ramit Bhattacharyya

Two-component conductors -- e.g., semi-metals and narrow band semiconductors -- often exhibit unusually strong magnetoresistance in a wide temperature range. Suppression of the Hall voltage near charge neutrality in such systems gives rise…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 P. S. Alekseev , A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii , B. N. Narozhny , M. Schütt , M. Titov
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