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In this paper we present a two-dimensional numerical simulation of a reconnection current layer in incompressible resistive magnetohydrodynamics with uniform resistivity in the limit of very large Lundquist numbers. We use realistic…

Plasma Physics · Physics 2007-05-23 Dmitri A. Uzdensky , Russell M. Kulsrud

Resistive relativistic magnetohydrodynamic (RRMHD) simulations are applied to investigate the system evolution of relativistic magnetic reconnection. A time-split Harten--Lan--van Leer method is employed. Under a localized resistivity, the…

High Energy Astrophysical Phenomena · Physics 2010-06-07 Seiji Zenitani , Michael Hesse , Alex Klimas

Classical Sweet-Parker models of reconnection predict that reconnection rates depend inversely on the resistivity, usually parameterized using the dimensionless Lundquist number ($\Lund$). We describe magnetohydrodynamic (MHD) simulations…

Solar and Stellar Astrophysics · Physics 2015-06-11 Jeffrey S. Oishi , Mordecai-Mark Mac Low , David C. Collins , Moeko Tamura

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

Recently, secondary island formation due to the tearing instability of the Sweet-Parker current sheet was identified as a possible mechanism that can lead to fast reconnection (less sensitive dependence on Lundquist number $S$) both in…

Solar and Stellar Astrophysics · Physics 2011-06-06 C. S. Ng , S. Ragunathan

We investigate the large scale evolution of a relativistic magnetic reconnection in an electron-positron pair plasma by a relativistic two-fluid magnetohydrodynamic (MHD) code. We introduce an inter-species friction force as an effective…

High Energy Astrophysical Phenomena · Physics 2014-11-18 Seiji Zenitani , Michael Hesse , Alex Klimas

The rate of quasi-stationary, two-dimensional magnetic reconnection is calculated in the framework of incompressible Hall magnetohydrodynamics (MHD). The calculation is based on the solution of Hall-MHD equations that include Hall and…

Astrophysics · Physics 2009-12-11 Leonid M. Malyshkin

Magnetic reconnection is a plasma phenomenon where a topological rearrangement of magnetic field lines with opposite polarity results in dissipation of magnetic energy into heat, kinetic energy and particle acceleration. Such a phenomenon…

High Energy Astrophysical Phenomena · Physics 2016-08-31 Edoardo Striani , Andrea Mignone , Bhargav Vaidya , Gianluigi Bodo , Attilio Ferrari

Within the resistive magnetohydrodynamic model, high-Lundquist number reconnection layers are unstable to the plasmoid instability, leading to a turbulent evolution where the reconnection rate can be independent of the underlying…

Plasma Physics · Physics 2019-09-04 A. Stanier , W. Daughton , A. Le , X. Li , R. Bird

Magnetic reconnection in an antiparallel uniform Harris current sheet equilibrium, which is initially perturbed by a region of enhanced resistivity limited in all three dimensions, is investigated through compressible magnetohydrodynamic…

Astrophysics · Physics 2009-10-31 Joerg Schumacher , Bernhard Kliem , Norbert Seehafer

In this paper, we develop a lattice Boltzmann model for relativistic magnetohydrodynamics (MHD). Even though the model is derived for resistive MHD, it is shown that it is numerically robust even in the high conductivity (ideal MHD) limit.…

Computational Physics · Physics 2015-09-30 F. Mohseni , M. Mendoza , S. Succi , H. J. Herrmann

We revisit the well known Sweet-Parker (SP) model for magnetic reconnection in the framework of two dimensional incompressible magnetohydrodynamics. The steady-state solution is re-derived by considering a non zero viscosity via the…

Solar and Stellar Astrophysics · Physics 2022-01-05 Hubert Baty

In this paper quasi-stationary, two-and-a-half-dimensional magnetic reconnection is studied in the framework of incompressible resistive magnetohydrodynamics (MHD). A new theoretical approach for calculation of the reconnection rate is…

Astrophysics · Physics 2009-11-23 Leonid M. Malyshkin , Timur Linde , Russell M. Kulsrud

We study two dimensional turbulent magnetic reconnection in a compressible fluid in the gas pressure dominated limit. We use open boundary conditions and start from a Harris current sheet configuration with a uniform total pressure. A small…

Astrophysics of Galaxies · Physics 2015-05-14 K. Kulpa-Dybel , G. Kowal , K. Otmianowska-Mazur , A. Lazarian , E. Vishniac

Our understanding of magnetic reconnection in resistive magnetohydrodynamics has gone through a fundamental change in recent years. The conventional wisdom is that magnetic reconnection mediated by resistivity is slow in laminar high…

Plasma Physics · Physics 2013-05-21 Yi-Min Huang , A. Bhattacharjee

We investigate the development of tearing-mode instability using the highest-resolution two-dimensional magnetohydrodynamic simulations of reconnecting current sheets performed on a uniform grid, for Lundquist numbers of $10^3 \le S \le 5…

Plasma Physics · Physics 2026-05-05 G. H. Vicentin , G. Kowal , E. M. de Gouveia Dal Pino , A. Lazarian

A simple Sweet--Parker-like model for the electron current layer in resistive Hall magnetohydrodynamic (MHD) reconnection is presented, with the focus on the collisionless limit. The derivation readily recovers the main results obtained…

Solar and Stellar Astrophysics · Physics 2015-05-13 Dmitri A. Uzdensky

Using a three-dimensional magnetohydrodynamic model, we simulate the magnetic reconnection in a single current sheet. We assume a finite guide field, a random perturbation on the velocity field and uniform resistivity. Our model enhances…

Solar and Stellar Astrophysics · Physics 2015-09-23 Shuoyang Wang , Takaaki Yokoyama , Hiroaki Isobe

Starting from an exact, steady-state, force-free solution of the magnetohydrodynamic (MHD) equations, we investigate how resistive current layers are induced by perturbing line-tied three-dimensional magnetic equilibria. This is achieved by…

Solar and Stellar Astrophysics · Physics 2016-01-12 Frederic Effenberger , I. J. D. Craig

A theoretical model of quasi-stationary, two-dimensional magnetic reconnection is presented in the framework of incompressible two-fluid magnetohydrodynamics (MHD). The results are compared with recent numerical simulations and experiment.

Solar and Stellar Astrophysics · Physics 2009-12-11 Leonid M. Malyshkin
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