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Simulations suggest collisionless steady-state magnetic reconnection of Harris-type current sheets proceeds with a rate of order 0.1, independent of dissipation mechanism. We argue this long-standing puzzle is a result of constraints at the…

Plasma Physics · Physics 2017-03-01 Yi-Hsin Liu , M. Hesse , F. Guo , W. Daughton , H. Li , P. A. Cassak , M. A. Shay

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

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

Using fully kinetic simulations, we study the scaling of the inflow speed of collisionless magnetic reconnection from the non-relativistic to ultra-relativistic limit. In the anti-parallel configuration, the inflow speed increases with the…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Yi-Hsin Liu , Fan Guo , William Daughton , Hui Li , Michael Hesse

It is a widely accepted paradigm that collisionless magnetic reconnection proceeds at a universal fast rate of $\sim0.1$ when normalized to a properly defined reconnecting magnetic field and Alfv\'en speed, effectively independent of the…

Plasma Physics · Physics 2026-04-22 Yi-Min Huang , Naoki Bessho , Li-Jen Chen , Judith T. Karpen , Amitava Bhattacharjee

Modeling collisionless magnetic reconnection rate is an outstanding challenge in basic plasma physics research. While the seemingly universal rate of an order $\mathcal{O}(0.1)$ is often reported in the low-$\beta$ regime, it is not clear…

Solar and Stellar Astrophysics · Physics 2021-05-26 Xiaocan Li , Yi-Hsin Liu

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

The reconnection rate is obtained for the simplest case of 2D symmetric reconnection in an incompressible plasma. In the short note (Erkaev et al., Phys. Rev. Lett.,84, 1455 (2000)), the reconnection rate is found by matching the outer…

Plasma Physics · Physics 2009-11-07 Nikolai V. Erkaev , Vladimir S. Semenov , Ilya V. Alexeev , Helfried K. Biernat

We present the results of a multi-event study of the normalized reconnection rate integrating events spanning the three primary regimes of reconnection observed by the Magnetospheric Multiscale (MMS) mission. We utilize a new method for…

Space Physics · Physics 2025-08-19 S. V. Heuer , K. J. Genestreti , Y. -H Liu , J. R. Shuster , X. Li , R. B. Torbert , J. L. Burch

Magnetic reconnection, breaking and reorganization of magnetic field topology, is a fundamental process for rapid release of magnetic energy into plasma particles that occurs pervasively throughout the universe. In most natural…

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

In this paper two theoretical approaches for the calculation of the rate of quasi-stationary, two-dimensional magnetic reconnection with nonuniform anomalous resistivity are considered in the framework of incompressible magnetohydrodynamics…

Astrophysics · Physics 2015-06-24 Leonid Malyshkin , Russell M. Kulsrud

Numerical studies implementing different versions of the collisionless Ohm's law have shown a reconnection rate insensitive to the nature of the non-ideal mechanism occuring at the X line, as soon as the Hall effect is operating.…

Plasma Physics · Physics 2015-06-15 Nicolas Aunai , Michael Hesse , Carrie Black , Rebekah Evans , Maria Kuznetsova

Magnetic reconnection in the partially ionized solar chromosphere is studied in 2.5-dimensional magnetohydrodynamic simulations including radiative cooling and ambipolar diffusion. A Harris current sheet with and without a guide field is…

Solar and Stellar Astrophysics · Physics 2015-09-24 Lei Ni , Bernhard Kliem , Jun Lin , Ning Wu

We derive basic scaling equations for relativistic magnetic reconnection in the general case of asymmetric inflow conditions and obtain predictions for the outflow Lorentz factor and the reconnection rate. Kinetic Particle-in-Cell…

Plasma Physics · Physics 2022-05-16 Rostom Mbarek , Colby Haggerty , Lorenzo Sironi , Michael Shay , Damiano Caprioli

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

The rate of magnetic reconnection is of the utmost importance in a variety of processes because it controls, for example, the rate energy is released in solar flares, the speed of the Dungey convection cycle in Earth's magnetosphere, and…

Plasma Physics · Physics 2022-04-29 Yi-Hsin Liu , Paul Cassak , Xiaocan Li , Michael Hesse , Shan-Chang Lin , Kevin Genestreti

Magnetic reconnection requires the violation of the frozen-in condition which ties gyrating charged particles to the magnetic field inhibiting diffusion. Ongoing reconnection has been identified in near-Earth space as being responsible for…

Space Physics · Physics 2014-01-24 R. A. Treumann , W. Baumjohann

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

The aim of this paper is to investigate the properties of magnetic reconnection at a 3D null point, with respect to their dependence on the symmetry of the magnetic field around the null. In particular we examine the rate of flux transport…

Solar and Stellar Astrophysics · Physics 2015-05-14 A. K. Al-Hachami , D. I. Pontin
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