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Reconnection rate is found for the canonical simplest case of steady-state two-dimensional symmetric reconnection in an incompressible plasma by matching of outer Petschek solution and internal diffusion region solution. The reconnection…

Plasma Physics · Physics 2007-05-23 Nikolai V. Erkaev , Vladimir S. Semenov , Ferdinand Jamitzky

We study magnetic reconnection events in a turbulent plasma within the two-fluid theory. By identifying the diffusive regions, we measure the reconnection rates as function of the conductivity and current sheet thickness. We have found that…

Plasma Physics · Physics 2017-03-06 Nicola Offeddu , Miller Mendoza

Recent numerical simulations of magnetic reconnection in two dimensions have shown that, when the resistivity is strongly localized, the reconnection region develops a Petschek-like structure, with the width of the inner diffusion region…

Astrophysics · Physics 2009-11-07 Dmitri A. Uzdensky

Using 2-dimensional (2D) magnetohydrodynamics (MHD) simulations, we show that Petschek-type magnetic reconnection can be induced using a simple resistivity gradient in the reconnection outflow direction, revealing the key ingredient of…

Plasma Physics · Physics 2021-12-23 Shan-Chang Lin , Yi-Hsin Liu , Xiaocan Li

A prediction of the steady-state reconnection electric field in asymmetric reconnection is obtained by maximizing the reconnection rate as a function of the opening angle made by the upstream magnetic field on the weak magnetic field…

Plasma Physics · Physics 2018-06-13 Yi-Hsin Liu , M. Hesse , P. A. Cassak , M. A. Shay , S. Wang , L. -J. Chen

A model of global magnetic reconnection rate in relativistic collisionless plasmas is developed and validated by the fully kinetic simulation. Through considering the force balance at the upstream and downstream of the diffusion region, we…

High Energy Astrophysical Phenomena · Physics 2016-05-19 Yi-Hsin Liu , Michael Hesse , Fan Guo , William Daughton , Hui Li

Relativistic Sweet-Parker type magnetic reconnection is investigated by relativistic resistive magnetohydrodynamic (RRMHD) simulations. As an initial setting, we assume anti-parallel magnetic fields and a spatially uniform resistivity. A…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Hiroyuki R. Takahashi , Takahiro Kudoh , Youhei Masada , Jin Matsumoto

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

Using a recently developed analytical procedure, we determine the rate of magnetic reconnection in the "standard" model of eruptive solar flares. During the late phase, the neutral line is located near the lower tip of the reconnection…

Solar and Stellar Astrophysics · Physics 2018-05-23 Terry G. Forbes , Daniel B. Seaton , Katharine K. Reeves

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

This paper analytically investigates a series of two-dimensional MHD reconnection solutions over a wide variation of magnetic Reynolds number ($R_{em}^*$). A new series of solutions explains a continuous transition from Petschek-like fast…

Astrophysics · Physics 2011-02-11 Shin-ya Nitta

Based on the first principles (i.e. (i) by balancing the magnetic field advection with the term containing electron pressure tensor non-gyrotropic components in the generalised Ohm's law; (ii) using the conservation of mass; and (iii)…

Astrophysics · Physics 2008-12-23 David Tsiklauri

Analytical theory of fast magnetic reconnection with a large guide field is presented for the first time. We confirm that two distinct reconnection regimes are possible depending on whether the diffusion region thickness $\delta$ is larger…

Plasma Physics · Physics 2010-01-12 Andrei N. Simakov , L. Chacón , A. Zocco

Plasmoid instability is usually accounted for the onset of fast reconnection events observed in astrophysical plasmas. However, the measured reconnection rate from observations can be one order of magnitude higher than that derived from MHD…

Solar and Stellar Astrophysics · Physics 2024-07-03 Abdullah Zafar , Lei Ni , Jun Lin , Ahmad Ali

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

Reconnection of the magnetic lines of force is considered in case the magnetic energy exceeds the rest energy of the matter. It is shown that the classical Sweet-Parker and Petschek models are generalized straightforwardly to this case and…

Astrophysics · Physics 2009-11-10 Y. E. Lyubarsky

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

Astrophysics · Physics 2009-10-31 Dmitri A. Uzdensky , Russell M. Kulsrud

Magnetic reconnection plays an essential role in the generation and evolution of astrophysical magnetic fields. The best tested and most robust reconnection theory is that of Parker and Sweet. According to this theory, the reconnection rate…

Astrophysics · Physics 2009-11-07 Fabian Heitsch , Ellen G. Zweibel

(abridged) Magnetic reconnection is the topological reconfiguration of the magnetic field in a plasma, accompanied by the violent release of energy and particle acceleration. Reconnection is as ubiquitous as plasmas themselves, with solar…

Plasma Physics · Physics 2015-07-29 N. F. Loureiro , D. A. Uzdensky

Magnetic reconnection (MR) is considered as a major source of particle energization in astrophysical plasma. In the past, analysis of MR often assumes the magnetostatic condition, i.e. $\partial_t = 0$. We show that under the…

Space Physics · Physics 2018-08-08 H. Che
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